differentiate the ffg wrt x: y = e^(-2x) . sin 5x y = 2cot (x^2 - 3) y = ln [x^2 .square root (1-sinx)]

We'll differentiate the first composed
function:

y = e^(-2x) . sin
5x

It is a product of 2 functions, so we'll differentiate
according to the product rule:

(u*v)' = u'*v +
u*v'

y' = [e^(-2x) . sin
5x]'

y' = [e^(-2x)]'*(sin 5x) + [e^(-2x)]*(sin
5x)'

y' = e^(-2x)*(-2x)'*(sin 5x) + [e^(-2x)]*(cos
5x)*(5x)'

y' = -2e^(-2x)*(sin 5x) + 5*[e^(-2x)]*(cos
5x)

We'll factorize and the final result will
be:

y' = e^(-2x)*(-2sin 5x + 5 cos
5x)

We'll differentiate the
second function y = 2cot (x^2 - 3)

y' = [2cot (x^2 -
3)]'

y' = -2(x^2 - 3)'/[sin (x^2 -
3)]^2

y' = -2*2x/[sin (x^2 -
3)]^2

y' = -4x/[sin (x^2 -
3)]^2

We'll differentiate the
third given function

y = ln [x^2 *square root
(1-sinx)]

y' = {ln [x^2 *square root
(1-sinx)]}'

y' = [x^2 *square root (1-sinx)]'/x^2*square
root (1-sinx)]

Since the numerator is a product, we'll
apply the product rule:

[x^2 *square root (1-sinx)]' =
(x^2)'*sqrt(1-sinx)+(x^2)*(1-sinx)'

[x^2 *square root
(1-sinx)]' = (2x)*sqrt(1-sinx)+(x^2)*(-cos
x)

y' = [(2x)*sqrt(1-sinx)+(x^2)*(-cos
x)]/x^2*square root (1-sinx)

Sqrt(x+5) + sqrt(x-3) = 4

We'll multiply, both sides of the equation, by the adjoint
expression of the left side.

[sqrt (x+5) + sqrt
(x-3)]*[sqrt (x+5) - sqrt (x-3)]= 4*[sqrt (x+5) - sqrt
(x-3)]

We'll transform the product from the left side in
the difference of squares.

[sqrt (x+5)]^2 - [sqrt (x-3)]^2=
4*[sqrt (x+5) - sqrt (x-3)]

(x+5) - (x-3)= 4*[sqrt (x+5) -
sqrt (x-3)]

We'll remove the paranthesis from the left
side:

x + 5  - x + 3 = 4*[sqrt (x+5) - sqrt
(x-3)]

We'll eliminate like
terms:

8 = 4*[sqrt (x+5) - sqrt
(x-3)]

We'll divide by 4:

2=
[sqrt (x+5) - sqrt (x-3)]

We'll add this result to the
initial equation:

sqrt(x+5) + sqrt(x-3) + sqrt (x+5) - sqrt
(x-3) = 6

We'll eliminate like
terms:

2sqrt(x+5) = 6

We'll
divide by 2:

sqrt(x+5) =
3

We'll raise to square both
sides:

[sqrt(x+5)]^2 =
3^2

x+5= 9

We'll subtract 5
both sides:

x=
9-5

x=
4

We'll verify and we'll get x = 4 as valid
solution.

How was Finny and Gene's friendship?A Separate Peace by John Knowles

In concurrence with the statement that Gene and Finny do
become friends at the end of the novel:  Upon his return to Devon as he traverses the
campus, Gene remarks,

readability="10">

Everything at Devon slowly changed and slowly
harmonized with what had gone before. So it was logical to hope that since the buildings
could achieve this, I could acieve, perhaps unknowingly already had acieved, this growth
and harmony myself.

Having
made this remark after reflecting that he has a "well-known fear" preserved from his
Devon days and that the couple of places he wants to see are "fearful sites," the reader
understands that Gene's early relationship with Finny was not a true friendship, but one
of rivalry and jealousy on the part of Gene.  For, Gene has feared and distrusted
Finny's noble nature that knew no pettiness.  Gene has projected, instead, his own
pettiness upon Finny so that he could feel justified in his performing above Finny in
his classes.  But, Finny did not care, so Gene could not be victorious in his created
rivalry.  In Chapter 2, he contends,

readability="5">

There was no harm in envying even your best
friend a little.

When Gene is
unable to outdo Finny's athleticism, out of his envy, he becomes sarcastic because he
"recognized sarcasm as the protest of people who are weak."  Having spent the summer "in
complete selfishness," Gene forgets that Finny has practically saved his life by giving
Gene his arm on the limb when he loses his balance.  For, in his act of jealousy and
pettiness after Finny keeps silent about breaking a school record, Gene jouses the limb
to give himself an advantage because, as he admits right before this
action,

He had
never been jealous of me for a second.  Now I knew that there never was and never could
have been any rivalry between us, I was not of the same quality as
he.

However, Gene finds
himself "in a pool of guilt," and finds that he must confess to Finny.  When peace
deserts Devon, Gene finds himself engaged in his own personal war just as the war goes
on outside him.  When Finny asks Gene to play sports in his stead, Gene agrees,
saying,

"...I
lost part of myself to him then, and a soaring sense of freedom revealed that this must
have been my purpose from the first:  to become part of
Phineas.

After Finny's tragic
second fall, Gene apologizes abjectly:  "I'm sorry...I'm sorry, I'm sorry."  He accepts
the responsibility for his act as "some ignorance inside me."  Gene extrapolates his
thought later saying,

readability="7">

...wars were not made by generations and their
special stupidities, but that wars were made instead by something ignorant in the human
heart.

This "something
"ignorant in the human heart" has never been in Finny, who never hated anyone or was
never afraid.  But, Gene has feared and envied him because of Finny's nobility.  Only
when Gene learns to recognize the integrity of Finny, only when he realizes that Finny
has never been his rival, only when Gene gives of himself to Finny can Gene become his
friend as Finny always has been his.

What caused the east-west schism in the Catholic church?

The East-West Schism (split) of the Catholic Church was
caused by cultural, geographical, and political differences. The beginnings of the
schism dates back to as early as the division of the Roman Empire in A.D. 375 by Emperor
Theodosius. He divided the empire into the Eastern and Western Roman Empires and moved
the capital city from Rome to Constantinople (present-day Istanbul, Turkey). As a result
of this division, an informal split within the Catholic Church took place leading to the
formation of an Eastern Church in Constantinople and a Western Church in
Rome.

This informal split deepened in the 800s when a
series of disputes arose between the pope, the head of the Catholic Church, and the
patriarch of Constantinople (also called the ecumenical patriarch), head of the Catholic
Church in the East. The issue was the pope's authority over Christians in the East.
Finally, in 1054, Pope Leo IX (1002–1054) issued an anathema (a formal curse) against
the patriarch of Constantinople, Michael Cerularius (c. 1000–1059). The pope
excommunicated (expelled) the patriarch and his followers from the Catholic Church. As a
result, the Catholic Church was now officially split in two parts: the Roman Catholic
Church in the West and the Eastern (or Byzantine) Orthodox Church in the East.
Thereafter the Eastern Orthodox Church would accept the patriarch of Constantinople as
the highest authority and would no longer recognize the pope. Members of the Eastern
Orthodox Church followed the Byzantine rite (ceremonies); in the West, Roman Catholics
followed the Latin rite and continued to regard the pope as their
leader.

The capture of Constantinople in 1453 by the
Ottoman Empire placed the Eastern Orthodox Church under Muslim rule until the 1800s. By
the late twentieth century differences still remained between the Roman Catholic Church
and the Eastern Orthodox Church, which now included the Greek Orthodox Church and the
Russian Orthodox Church. However, the rift was somewhat healed in 1964 when Pope Paul VI
(1897–1978) met with Ecumenical Patriarch Athenagoras I (1886–1972) in Jerusalem. The
next year, each of the two religious leaders lifted the anathemas against the other's
church.

Further Information:
Bokenkotter, Thomas S. A Concise History of the Catholic Church.
Garden City, N.Y.: Doubleday, 1990; Deedy, John. Retrospect: The Origins of
Catholic Beliefs and Practices. Chicago: Thomas More Press, 1990; "Great
East-West Schism." Encyclopedia Britannica. [Online] Available
www.britannica.com/bcom/eb/article/5/0,5716,108295+16,00.html, October 20,
2000.

Why was I Know Why The Caged Bird Sings banned?

I Know Why the Caged Bird Sings is
challenged pretty often in public schools as having inappropriate content for high
school readers.  There are some sexual references which some consider too graphic,
including rape, premarital sex and same sex relationships.  Others think there is too
much violence (I didn't think so), and some feel the way in which the book deals with
racial issues "encourages bitterness towards white people"
(Alabama).

As an educator, I have found that any time a
book contains mature themes, or content that some find controversial, it is challenged
in some way.  School Boards are the most common place a book is banned, and these groups
tend to be more reactionary towards literature anyway, and often are made of up
religious and social conservatives who are more concerned with what people read than
most Americans.

Personally, I make it a point to read
banned books.

If a product fails in the market, how do we control back the market?

It is ten times more difficult to recapture a market once
lost due to a product that has failed. This best approach to be careful in the first
place and make sure everything is done right, rather than first make mistakes and than
correct them.

However we all make mistakes, and it is
better to learn from our mistakes and where possible correct it. In case of a filed
product the very first priority should be to find out the exact nature and extent of
failure. The next step will be to identify the causes of failure. Of course this means
developing clarity on what all should have been done, how it should have been done, and
in what ways the earlier marketing efforts failed to do
that.

One obvious requirement of further action is to
change the marketing approach to what it should have been in the first place. But this
is not enough. As I mentioned above, recapturing a lost market is 10 times more
difficult than doing the right things and capturing the market in the fist attempt. The
additional nine fold effort will go into winning back the lost confidence of the
customers and other stakeholders, and setting right the wrong done. The exact nature for
such repair action will depend on the nature of the damage
done.

For example, if the product was faulty, it is
absolutely essential to redesign the product. But this is not enough, the customers will
need to be reassured that the company is serious about and capable of correcting its
past mistakes. It may become necessary to recall and replace or repair the products
already sold. The channel partners including suppliers and distributors may need to be
compensated for the losses incurred by them. Ways must be found to dispose of or
appropriately deal with the material that may be still in pipe
line.

All such recovery and compensatory action needs to be
planned and executed with due care.

What are two passages that support the theme of "A Separate Peace"?

One theme of John Knowles's A Separate
Peace is that of Guilt and Innocence.  As
Knowles himself wrote, after Finny's crippling accident, everything that follows
is

one long
abject confession, a mea culpa, a tale of crime--if a tale has been
committed--and of no punishment.  It is a story of growth through
tragedy.

That Gene is ridden
with guilt about Finny's condition is evidenced in Chapter 8 in which Gene
observes,

readability="15">

Until now, in spite of everything, I had
welcomed each new day as though it were a new life, where all past failures and problems
were erased, and all future possibilities and joys open and available, to be achieved
probably before night fell again.  Now, in this winter of snow and crutches with
Phineas, I began to know that each morning reasserted the problems of the night before
night fell again.

In Chapter
12 as Gene walks down an aimless road after a confrontation with Phineas, he tries to
cope with his "double vision."  He sees the gym in the light, but it alters and its
significance is grows deeper and the

readability="7">

old trees surrounding it all were intensely
meaning...I felt that I was not, never had been and never would be a living apart of
this overpoweringly solid and deeply meaningful world around
me.

Then Gene returns to
Finny and begins his mea culpa to
Finny:

"Tell
me how to show you.  It was just some ignorance inside me, some crazy thing inside me,
something blind, that's all it
was."

Recognizing his
feelings and actions as much like a war inside him, Gene extrapolates his ideas and
states that

it
seemed clear that wars were not made by generations and their special stupidities, but
that wars were made instead by something ignorant in the human
heart.

In the "something
ignorant" in his heart, Gene confesses that he never killed anyone in the war, but he
"killed his enemy before he put on a uniform." 

By
returning to the Eden of Devon School where he lost his innocence in the war of the
hearts in which he was engaged, Gene reconciles his guilty conscience through gaining
self-knowledge. In the first chapter, he states that there were two places that he
wanted to visit:  "Both were fearful sites, and that was why I wanted to see them." Yet,
as he notices that things have slowly changed at
Devon

and
slowly harmonized with what had gone beofre.  So it was logical to hope that since the
buildings and the Deans and the curriculum could achieve this, I could achieve, perhaps
unknowingly already had achieved, this growth and harmony
myself.

Gene looks up at the
inscription over the door that reads, "Here Boys Come to be Made Men" and through his
tragic remembrance of the events at Devon School, Gene does reach growth and
atonement.

Describe Portia in Julius Caesar.I need a little information about Portia to pay a tribute to her.

Portia gets very little stage time in Julius
Caesar, but her main scene packs quite a wallop.  She is Brutus' wife and
makes her first appearance in Act II, scene i, just after the exit of the conspirators. 
She knows that something is troubling Brutus, and she demands to know what disturbs
him.

The Roman society prided itself on its Stoicism -- the
ability to bear what life offers with strength, reason and courage.  Portia is the
poster child for this point of view, since she demands to be treated as she believes a
wife should and be granted the confidence of Brutus' thoughts.  To emphasize her
Stoicism, Shakespeare provides an odd but telling detail about Portia in this scene. 
She wounds herself to prove her loyalty and constancy to Brutus.  Lines 294
-300:

I grant
I am a woman; but withal

A woman that Lord Brutus took to
wife.

I grant I am a woman; but
withal

A woman well-reputed, Cato's
daughter.

Think you I am no stronger than my
sex,

Being so father'd and so
husbanded?

Tell me your counsels, I will not disclose
'em.

I have made strong proof of my
constancy,

Giving myself a voluntary
wound

Here in the thigh.  Can I bear that with
patience,

And not my husband's
secrets?

So, from the above
quote, you have some strong descriptive information to assist you in paying tribute to
Portia.

What are the symptoms of carpal tunnel syndrome?

Carpal tunnel syndrome is a disorder occurring in wrists
which causes pain and interferes with use of hands. It is perhaps the most common of the
group of disorders called repetitive strain injuries, which are caused by performing a
similar activity, over-straining a particular part of the body, over and over
again.

In carpal tunnel syndrome, a canal, known as carpal
tunnel, formed by the bones and ligaments in the wrist, through which the median nerve
passes, narrows down due to various reasons. This creates pressure on median nerve,
causing pain and interfering with work of the hand.

Carpal
tunnel syndrome may result from a variety of reasons other than repetitive work. These
include injuries such as wrist fracture, arthritis complicated by swelling of tendons in
the carpal tunnel, thickening of membrane around tendons during
pregnancy.

Symptoms of carpal tunnel syndrome include pain
and numbness in the fingers of the hands affected, weakness of hand muscles. Such
weakness of the hand muscles may be apparent in increased tendency to drop objects held
in hand.

Carpal tunnel disorder is usually treated by
improving the underlying condition. Splint may be applied to the wrist to restrict
movement of the wrist to aid in healing. Anti-inflammatory medications may be used to
reduce swelling of tendons. In extreme cases it may be necessary to perform surgery to
relieve pain and prevent permanent damage.

What are death's feelings for the victims of war?

Death is sympathetic towards the victims of war,
especially those who are still living. This is because most of them are likely to
succumb to violent or extremely painful deaths due to the conditions they encounter.
During a war, people succumb to bombings which basically burn the people alive, some die
hungry and others are shot or hanged after being tortured. This was the case for the
Jews who were evidently starved and made to walk long distances as a form of torture
before their death. At one point Hans and an elderly Jew are whipped because Hans hands
the man a piece of bread. It is likely that the old man died from such gruesome
conditions. Another example would be the bombing of Himmel Street which killed everyone
that Liesel knew including her entire foster family and best friend Rudy. It is such
situations that made death sympathetic towards the human race because during a war
people come to their end in the most painful
manner.

Death's feelings are best captured in the prologue
of the book where he states that his work is hard and that he is sympathetic towards
survivors during war. It is through Liesel's story that he further explains his
feelings.

How is the legionnaire disease contracted and is it found more commonly in people in the war zone?

Legionnaires' disease is the most severe of two forms an
infection of legionellosis that manifests as pneumonia.  The less severe pontiac fever
is caused by the same infection; however, it produces a condition much more resemblant
of influenza.

The infection usually occurs after inhaling
an aerosol that has the bacteria, which originates from any infected water source.  When
the infected water is disturbed the bacteria is evaporated into the air that are then
inhaled.  Areas with poor ventilation like prisons are the most vulnerable to spreading
the infection because it spreads through the entire room.  The disease is mostly
associated with hotels, cruise shops, hospitals with old ventilation systems because of
the number of people in a smaller space in all of them.

It
is not isolated just to war zones, the name is an historical one dating to the first
outbreak in Philadelphia in 1976 in the Bellevue Stratford Hotel where members of the
American Legion had gathered for the American Bicentennial.  Outbreaks since then have
been in the UK in 1985, the Netherlands in 1999, Australia in 2000, Spain in 2001, the
UK again in 2002, and Norway in 2005.

In the play A Streetcar Named Desire, why does Blanche try to block out her past and avoid reality?Why does she try to block out her...

In addition to the previous answer, which was
great

Blanche had no choice but to avoid reality. How could
she live with herself when the world she knew since she was little had just been removed
from under her feet?

The world from where Blanche came was
glamorous, enticing, and promising. She was the typical Southern Belle which would
accept gentlemen callers, attend cotillions, and be treated like a
princess.

She had it all- She married her teenage
sweetheart, she was rich, she had an education, and a reputation for being a
stunner.

Suddenly, her husband has a gay love affair behind
her back, ends up committing suicide, lost her estate, her family became sick, Stella
went off to marry a doubtful man and, Blanche was left
behind.

She ended up re-building a woman from broken
pieces, only she picked the worst pieces: Those pieces of her who are sexually invasive,
co-dependent, alcoholic , and lost.

I think Blanche was
already on the way to "Alysian Fields" the moment she set foot on the
streetcar.

What should a speaker do to effectively communicate with the audience? Give a speech meeting the demand of the audience Give a speech...

A speaker's style of communication is also very important
in making sure to communicate effectively.  "Speaker" and "audience" are really terms
that fit any situation in which one person wants to get their point across to one or
more other people.  But the circumstance of the communication is a primary key to its
effectiveness.

For example, when you are attempting to
convince your friends of something, would you use the same language and phrasing that
you might, if you were stopped in your car by the police?  How about in conversation
with your parents?  Or the admissions committee at a college you want to attend or with
an employer interviewing you for a job you want?  Each of these circumstances requires a
different tone, which might require a completely different approach, different word
choices, and a different manner.

So, the audience itself,
the speaker's relation to it, and the circumstance of the communication are key elements
in whether the communication will be effective or not.

How does the wanderer's present life compare with his formal life?

In the Wanderer's former life, he had friends that he
could speak with. Now, all of his friends and fellow seafarers are gone and he is left
to wander for companionship and what it is become of
him.

It seems that the Wanderer lived a full life upon the
sea. He was satisfied in his life and had others with similar views. This allowed him to
feel accepted.

Now, as life has passed, he is curious about
where his life will take him now that everyone else has passed. He is
alone.

In reality for him, the only thing left from his
past, the only thing left to give him hope is his God.

How do old age centers affect the person being sent to those centres?Challenge/change at societal level? Challenge/change at personal level? The...

There are probably too many angles to your question to
fully address it in one post, but I'll tackle a few of the bigger
ones.

In some cultures, it is a societal taboo to send your
elderly relatives to a retirement or nursing home, as these cultures strongly believe
that family should take care of family until the end of life.  So in these cultures, it
is sometimes very shocking to an elderly relative that they would be sent there, so they
sometimes feel abandoned.  This is sometimes true in cultures where there is no social
taboo as well.

When entering an old age facility, a
resident most strikingly feels a loss of independence, or a fear that they may never
leave the facility once they enter - a fear that they are entering the last stages of
life.

These homes can have different affects on
relationships.  While they are moving away from neighbors and family that were close by
before, thus limiting social contact with those groups, they are also living more
closely to people their own age, that share the same social values, remember the same
history and "speak the same language" generationally.  So this can actually create new
relationships and give a person a more grounded social
circle.

We also want to keep in mind here that old age
homes run a full spectrum, from assisted living facilities where nursing care is round
the clock and mobility limited, to basically retirement homes with a range of activities
and social opportunities.  A person's reaction may vary greatly depending on which kind
of facility it is.

Analyze the mechanics of the lat pull down and the chestfly.For lat pull downs and chestflys, identify the prime muscle movers, antagonists...

At least some of the information that you want can be
gathered through an internet search and/or through your own slow, thoughtful reenactment
of the exercises that you name. I've listed two links below for the lat
pulldown.

To get you started, I'll gladly write the
following:

Lat pulldowns primarily work the upper back
muscle group ("lat" = latissimus dorsi) and the biceps. I'm not sure what the opposing
muscle group for the lats are (the deltoids, I suspect; the lat pulldown is pretty much
the opposite of the military press, after all); I'm more sure that the opposing group
for the biceps (in this case, as in pretty much all cases) are the
triceps.

The primary joints involved are the shoulder and
elbow. (The neck could be considered involved, too, especiially if someone has bad form
in the exercise.) I'm not sure what's meant here by "joint involvement" and "Joint
action." I do know that the joints move in a way to close the gap in the exhale phase
(the hard part, the "pull down"): as you pull the bar down, the elbow joint moves to
allow the forearm to come closer to the bicep and the shoulder joint moves to allow the
tricep to come closer to the side of the body. The opposite is true of the inhale phase
(the slightly easier part, the "let up").

How does the story of Eliza in Uncle Tom's Cabin better help the reader understand the condition of slaves in 19th century America?

Eliza Harris is a slave woman owned by the Shelby family.
She is Mrs. Shelby’s slave. Her husband, George Harris, is a slave on another
plantation. It was very common for slave families to be separated in this way. Slave
owners did not care about separating families – if one family needed a domestic slave,
they would purchase a wife, and if her husband were a strong field hand that was needed
on another plantation, no big deal, it was all about the slaveholders’ needs. Slaves
were property and it was about business. Often, they were traded and resold. Families
were broken up all the time. When Eliza learns that her little son Harry has been sold
to the slave trader Haley because Harry is not needed on the plantation, she runs away,
risking everything to keep her son and to protect him.

Many
slaves knew that if they could escape North, especially to Ohio, they could be free.
Eliza escapes and there is a famous scene in the novel where she crosses the Ohio River
in the winter when the water is frozen. She has no shoes on and she jumps onto the ice
in her bare feet. Eliza is assisted in her escape by Senator and Mrs. Bird, as well as a
Quaker community. These people were part of what was known as “The Underground Railroad”
– a network of people that assisted slaves to escape to freedom in the
North.

Eliza is also very religious. Faith was an important
part of the slaves’ lives. They believed that their eternal life would be so much better
than the present life. Eliza believed that the Lord was with her in everything she
did.

Stowe's novel made a huge impact on the Abolitionist
movement in America when it was published in 1852. There is an anecdotal story that when
Abraham Lincoln met Harriet Beecher Stowe, he replied, "So this is the  little lady who
made this big war." Scholars have refuted this story, however.

Why is it appropriate that the story says of Montag "He felt his body divide itself..." in Fahrenheit 451?

I think that you could argue that this is the point in the
story where Montag is, figuratively, becoming two different people.  If so, then this is
a very appropriate thing for the story to say.

For most of
his life, Guy has been one person -- he is a fireman.  As such, he stands for the values
of his society.  But now, his experiences with Clarisse and the near-death of his wife
Millie have started to make a new him.  Because of these things, he has started to
question the values of the society.

When he does, he starts
to become two people.  The two parts of him (just as this passage says) become different
from one another and they start to be "two halves grinding" against one another.  He is
starting to have different parts of him that are coming in conflict with one
another.

Why was Reagan's foreign policy called "the Second Cold War?"Reagan's foreign policy efforts are called the "second cold war" because...

Ronald Reagan, upon taking office during his first term
denounced the policy of detente, or an easing of tensions between
the two Cold War powers.  Just like the majority of the Cold War Reagan's second Cold
War was largely fought with rhetoric.

Reagan wanted to
"win" the Cold War, doing what his predecessors could not.  He used terms such as "Evil
Empire" to describe the Soviet Union.

A renewed attempt to
stop Soviet expansion, the so-called "Domino theory," led to attempts to stop or
undermine governments in Nicaragua, Afghanistan, and other third world countries around
the world in the 1980s.

By the mid to late 1980s Reagan's
stance had softened a bit.  He even met with Soviet leader Mikhail Gorbachev in 1985 to
discuss arms reductions.

In the end Reagan's strategy
worked and the Soviet Union collapsed after Reagan's second term ended.  The Berlin
Wall, the symbol of East-West tensions for much of the Cold War was torn down in 1990,
although some historians believe it had more to with internal political struggles in the
Soviet Union than Reagan's policies.

What are the definitions of the literary terms: Man vs. self (conflict) limited point of view, and omniscient point of view?

A man vs. self conflict will
occur when a character is struggling with themselves on the inside. This type of
conflict can occur with other conflicts as well. Anytime a character struggles with a
moral dilemma or decision we see this at work. If for example a character had to choose
whether to live themselves, or provide continued life for a spouse, that struggle
through the decision would be this man vs. self
conflict.

The limited point of
view occurs as audience members don't get to see everything that is going
on. I find this at work in the story of The Great Gatsby in chapter
5. One character, our narrator, goes outside leaving two other characters alone for 30
minutes. A great deal must have happened during that time, but we as audience members
never know because the narrator didn't know either, so he can't tell
us.

The omniscient point of view
occurs when we are an all knowing audience. The narrator tells us
everything we need to know but doesn't necessarily demostrate if characters know as much
as we do. This happens a lot in The Tragedy of Romeo and
Juliet.

What is the meaning of options?

An option is a contract between two parties, which gives
the party which owns the option the right, but not the obligation, to buy or sell
something, from or to, the party which sold the option, in the
future.

Whatever can be bought or sold using an option is
called the underlying instrument. Also every option has a price, called the strike
price, at which the underlying instrument can be bought or
sold.

To understand this lets take an example. You have
bought an option to buy stock of company A, (which is also called a call
option) from another person which is valid for the next three months and
which has a strike price of $2. This means that if you express the desire, the other
person has to sell stock A to you at $2. You would use this option if the prevailing
market price of stock A is more than $2. That way you can later sell it and make gains.
If the stock price does not exceed $2, there is no point in using the option. The agreed
upon price, the call price (100 shares at $2), is termed the title="What is an Option? OIC: The Options Industry Council."
href="http://www.optionseducation.org/basics/whatis/default.jsp">premium.

Options
are one of the many instruments called derivatives which help people manage risk better
and also try to make profits based on the change in price of different
assets.

Solve the equation 2iz/(1 - i) + 2i = 2z(1 - i) - 3 + i

We'll note z = a + b*i and we'll substitute z into the
given equation.

2i*(a + b*i)/(1-i) + 2i = 2(a + b*i)(1-i) -
3 + i

We'll multiply the terms 2i,  2(a + b*i)(1-i),  - 3
and i by (1-i):

2i*(a + b*i) + 2i*(1-i) = 2(a + b*i)(1-i)^2
- 3(1-i) + i*(1-i)

We'll remove the
brackets:

2ai - 2b + 2i + 2 = -4ai + 4b - 3 + 3i + i +
1

We'll move all the terms in a and b to the left side and
all the terms without a and b, to the right side:

2ai - 2b
+ 4ai - 4b = -2i - 2 - 3 + 3i + i + 1

We'll combine the
real parts and the imaginary parts:

-6b + 6ai = -4 +
2i

Because the expressions from both sides are equivalent,
the real parts and the imaginary parts have to be
equal.

-6b =
-4

b =
2/3

6a =
2

a =
1/3

z = 1/3 +
2i/3

What is the best treatment for varicose veins??

Treatments for varicose veins include the
following:

(1)  Elevating the legs can give some
relief.
(2)  Exercising on a regular basis can be beneficial.
(3) 
Special socks or stockings can improve circulation, swelling and some relief from
pain.
(4)  Aspirin can also reduce anti-inflammatory problems.
(5) 
Other medication (particularly flavanoids) can help.
(6)  Various surgical
methods are also a possibility, including stripping.
Stripping deals with the removal (partial or complete) of the saphenous vein main trunk.
However, recurrence can occur in 5% to 60% of cases. CHIVA
(a French acronym) is a newer procedure that can be achieved under local
anasthesia.

See the link below for more detailed
information.

The sum of the first three terms of G.P. is 7 and sum of their squares is 21. Calculate first five terms of the G.P.

For the beginning, we'll note the terms of the G.P.
as:

a, a*r, a*r^2, ...

From
enunciation, we know that the sum of the first 3 terms
is:

a + a*r + a*r^2 = 7

We'll
factorize and we'll get:

a(1 + r + r^2 ) = 7
(1)

Also, the sum of the squares of the first 3 terms
is:

a^2 + (a*r)^2 + (a*r^2)^2 =
21

We'll factorize and we'll
get:

a^2(1 + r^2 + r^4) = 21
(2)

We'll form the ratio
(2)/(1)^2:

a^2(1 + r^2 + r^4)/[a(1 + r + r^2 )]^2 =
21/7^2

We'll eliminate like
terms:

(1 + r^2 + r^4)/(1 + r + r^2 )^2 =
3/7

We'll form the square at
numerator:

1 + r^2 + r^4 = (1 + 2r^2 + r^4) - r^2 =
(1+r^2)^2 - r^2

Now, the result is a difference of
squares:

(1+r^2)^2 - r^2 =
(1+r^2+r)(1+r^2-r)

With this result, we'll go back into the
ratio (2)/(1)^2:

(1+r^2+r)(1+r^2-r) / (1 + r + r^2 )^2 =
3/7

We'll eliminate like
brackets:

(1+r^2-r) / (1 + r + r^2 ) =
3/7

We'll cross multiply:

7 +
7r^2 - 7r = 3 + 3r + 3r^2

We'll move all terms to the left
side:

7 + 7r^2 - 7r - 3 - 3r - 3r^2 =
0

We'll combine like
terms:

4r^2 - 10r + 4 =
0

We'll divide by 2 :

2r^2 -
5r + 2 = 0

We'll apply the quadratic
formula:

r1 =
[5+sqrt(25-16)]/4

r1 =
(5+3)/4

r1 = 2

r2 =
(5-3)/4

r2 = 1/2

For r = 2,
we'll calculate the first term of the g.p. from the relation
(1):

a(1 + r + r^2 ) = 7

a(1 +
2 + 4 ) = 7

7a = 7

a =
1

So, the g.p. is:

1 , 1*2 ,
1*2*2 , ..........

For r = 1/2, the first term
is:

a(1 + r + r^2 ) = 7

a(1 +
1/2 + 1/4 ) = 7

a*(7/4) = 7

a
= 4

The g.p. is:

4 , 4*(1/2),
4*(1/2)^2,..................

What characteristics of lyric poetry can be inferred from "Why so pale and wan fond Lover?" by John Suckling?

John Suckling is a 17th century Cavalier poets who wrote
many forms of lyric poetry including ballads and sonnets .From Suckling's lyric “Why so
pale and wan fond Lover?” it can be inferred that lyric poetry may have a repeating
refrain in a different metrical pattern than the other verses (lines of poetry):
trochaic tetrameter versus trochaic trimeter in the refrain. It can be inferred that
lyric poetry may have large repeating patterns that encompass more than a single verse
(line) of distich (couplet): the pattern of the stanzas repeat. It can be inferred that
lyric poetry may have a patterned rhyme scheme, such as ababb cdcdd
etc.

It can be inferred that lyric poetry may address
personal feelings of the poetic speaker (whether in the poet's own voice as with Edmund
Spenser's lyric sonnets or as a fictional poetic speaker).  It can be inferred that
lyric poetry may address topics of love, in particular unrequited love (unfulfilled or
unreturned love). It can be inferred that separate stanzas may address separate topics:
"why so pale? / ... / why so mute? / ... / The devil take her!" It can be inferred that
lyric poetry may have a turn of diametrical opposition to the starting position: "Will
... / ... / Looking ill prevail? / ... / Nothing can make
her."

To check these inferences, some of the acknowledged
features of lyric poetry follow. Lyric poetry expresses personal feelings. It is rhymed.
It may be sung. It has the repetition of large metrical patterns that extend beyond
individual verses or distiches. Some lyric forms have refrains that repeat exactly or in
variations. Most forms contain a turn in topic before presenting a resolution to the
emotional problem addressed.

How is Crooks's room important to theme in Of Mice and Men?John Steinbeck's Of Mice and Men

In addition to the cogent points made: While the situation
of Crooks's having to live in the barn indicates the racial divide and his intense
isolation, the conversation that ensues indicates that Crooks is not so different at
all. 

At first, Crooks is defensive when Lennie enters, and
out of his vulnerability his strength to oppress Lennie comes; he attempts to hurt
Lennie. But, when Lennie poses no threat for Crooks, he begins to confide in
him:

"A guy
can talk to you an' be sure you won't go blabbin'....I seen it over an' over--a guy
talkin' to another guy and it don't make no difference if he don't hear or understand. 
The thing is, they're talkin', or they're settin' still not talkin'.  It don't make no
difference, no difference."  His excitement had increased until he pounded his knee with
his hand.

This passage is
significant because it illustrates the commonality of all men in their existential need
for sharing, for someone to help them measure the world.  Although set apart racially,
Crooks's human needs are identical to those of the other men; his words mirror those of
George when he has spoken to Slim in a previous passage about the importance of having a
friend. When he is provided the opportunity to be in communion with others, Crooks
becomes excited and happy as he feels that he has found more of a place in nature, a
common need for all men.

How long does it take him to catch his opponent and how far does he travel before he catches up with his opponent? A hockey player is standing on...

The opposing player has a constant speed of  12m/s. Since
the first player starts after 3seconds, the second player is already 12m/s*3s = 36 m
away. Thus the initially the second player is 36 meters 
ahead.

Now let us say after  t seconds the 1st player
catches the  second player. So the 2nd player moves  in t seconds by a distance = speed
* time = 12t meters.

The 1st player has a starting speed =
0 m/s and ending speed  after a time of t seconds = acceleration* t = 3.8*t m/s
.

So the average speed of the 1st player = (0+3.8t)/2 =
1.9t m/s.

So the distance covered by the 1st player in time
t seconds = his average speed* time t seconds = (1.9t)*t = 1.9t^2 . But this distance
should be equal to 36 meters of initial distance  + 12t meters covered in t  seconds by
the 2nd plater. Therefore the rquired eqution is :

1.9t^2 =
36+12t. This is a quadratic equation in t.

We multiply the
equation by 10 to get integral coefficients:

19t^2 =
360+120t.

We rearrange the equation making zero on the
right.

19t^2 -120t -360 =
0.

Using quadratic formula, we get t = {-(-120) +sqrt(120^2
- 4*19*(-360)}/(2*19) = 8.5356secons.

The distance
travelled by the first player = 1.9t^2 =  138.4271
m.

Therefore the time after which the 1st player catches
the 2nd player = 8.5356 seconds.

The distance the first
player moves to catch the second player = 138.4271 m.

What do you think of the use of fear as a motivator?

I think that people who need to resort to fear in order to
motivate others usually don't have their best interests at heart, and lack other
compelling arguments that would make such motivation justified.  People tend to act
foolishly and emotionally when they are afraid, and if you know this, and yet you still
want them to act this way, then you have some other motive, that
probably has more to do with your self interest than with protecting or helping
others.

Politicians do this all the time, telling us to
hate or to fear specific groups: conservatives or liberals, Republican or Democrat,
Muslims or Jews, immigrants or the poor.  Do they do this to help the public or to
protect us?  I don't think so at all.  They do it to divide, to profit or to get
re-elected.

Many religions have used the fear of hell very
effectively over the centuries, as did Edwards in his Sinners in the Hands of
an Angry God sermon.  While he may have been sincere in his religious
beliefs, I think when people use fear as a motivator, they do us much more harm than
they could possibly do us good.

What did Rahim Khan mean By "there's a way to be good again"? Why is it important for Amir to redeem himself? If so to whom and why?

Amir, in his childhood, behaved in ways that caused
grievous wrongs to Hassan and Hassan's father. In fact, it could be reasonably said that
his behavior played a part in their deaths.

While Amir is
generally arrogant and domineering to Hassan when they are children, the first really
striking wrong we see in the novel is when Amir hides in an alley while a group of
bullies sodomize Hassan.

Since the presence of Hassan in
the household is a constant reminder to Amir of his own wrongdoing, he manipulates
events so that Hassan is accused of a theft, and that causes Amir's father, Baba,  to
"exile" Hassan and Hassan's father, Ali,  from the
household.

Because of the subsequent upheaval in
Afghanistan, Amir and Baba are forced to flee the country. Had Hassan and Ali remained
in the household, there is a good chance they would have left for America with Amir and
Baba.  Both must remain and both die.

A chance to be good
again is a chance for redemption, which is a prevailing theme of the novel.  While Amir
and Ali have died, Amir has left a son behind, Sorhab, who will have no chance for a
good life unless Amir can rescue him.  Such a rescue is a way for Amir to overcome his
own cowardice, atone for his sins against the family, to redeem himself in his own eyes,
and to save one child from a terrible life or death.

You
will notice that the book opens with the idea of redemption and closes with the
redemption, telling the reader what a powerful and important idea this is in the
story.

What are some of the most important lessons Scout and Jem learn throughout the novel and who teaches them these lessons?

Oh, so many lessons! The children learn that truly great
people don't brag about it. They never even knew that their dad, Atticus, was a crack
shot. When he kills the rabid dog, they are quite surprised. Atticus teaches them this
lesson, by example.

They are not too impressed with their
father's profession as a lawyer, until Miss Maudie brags about Atticus' abilities. Miss
Maudie teaches them this one. Then, they observe their father in the courthouse. The
Blacks tells Scout to stand when her father passes. The children learn that their father
is brave and a man of integrity.

They learn that life is
not fair. The results of Tom's trial teaches them this. Jem is quite crushed by the
verdict.

They learn to treat company as company, no matter
how bad the company's manners are. Calpurnia teaches them this when Walter pours syrup
all over his food.

Scout learns that people are hypocrites
and sometimes do not live the religion they preach. She learns this lesson from Miss
Maudie at the women's missionary tea and also from observing the speech of the women in
attendance.

I think there is probably a lesson in every
chapter. What a great novel

When writing a book review, if I am using quoted text from the book, do I simply use quotation marks or do I have to cite the page?I must use...

This is a little difficult.  The most important thing to
remember with MLA citing, is that it is simple and typically follows common sense, but
it always gives credit where credit is due.  If the book you are
using is of significant length (ie: not a short story), and it is clear from your review
exactly what title and author your are quoting, do not worry about putting the author's
last name in the parenthetical citation.  It would likely seem redundant.  However, if
you are directly quoting text, you will need to cite a page
number, if the quote is from a work of significant length.  If it is a short story, you
might cite a paragraph number.  If it were a short poem, you would cite a line
number.

Of course, if you are required to do MLA, you are
also then required to do a works cited.  Be sure the entry in your works cited is the
exact edition you are using for the page number citations.  With any other works
referenced in your review, do not change anything (no italics) in the formatting.  Just
reference the same way you did the actual book.  Be sure to give credit to the author
you are citing, either in the sentence (ie: "According to Roger Smith...") or at the end
with last name and page number in parenthetical citation.

Write a summary on the poem "The Voice," explaining it in full detail.

"The Voice" by Thomas Hardy is not a particularly complex
poem to understand, it seems to me.  Understanding just a bit about Hardy's own life
will add to your understanding.  The speaker, probably Hardy himself, has obviously
loved a woman with complete love.  It is likely Hardy mourning the loss of his wife of
forty years, Emma. She is the one, he says, "who was all to me."  He is standing out in
the open moors and believes he hears this "woman much missed" calling to him.  If it is
her, he asks her to reveal herself to him:

readability="10">

Can it be you that I hear? Let me view you,
then,
Standing as when I drew near to the town
Where you would wait
for me: yes, as I knew you then,
Even to the original air-blue
gown!

This wistfulness is a
hope that she will be restored to him in her original beauty--thus the "original
air-blue gown."

In despair, he soon understands it's
probably nothing more than the wind traveling "across the wet mead" and "oozing thin
through the thorn from norward."  The last image we see of this heartbroken,
faltering man is leaves falling around him, wind oozing through the trees, and the
woman, his wife, calling.  Even knowing she is forever gone, he continues to hear her
voice. 

Explain and critically examine the statement?Free trade promotes a mutually profitable regional division of labour greatly enhanced the...

The statement is a very hopeful view of free trade and
capitalist enterprises.  There is a fundamental implication of the "invisible hand" that
will enable as many people as possible to benefit through an economic pursuit of self
interest and profit making motives.  The other element that strikes me in this statement
is its global reach.  It is a statement that makes the assumption that free trade,
global deregulation, economic competition, and capitalism motives will bring everyone
into greater riches.  I think that the statement is a hopeful vision that might not take
into account the fact that some will choose to embrace profit making motives over the
general good or the welfare of others.  It does not account for the reality that there
might be some level of regulation needed in this configuration, and that governments and
other watchdog groups need to ensure that free trade initiatives do foster an equitable
exchange for multiple nations and ensure that as many people are brought into the
process of making and keeping wealth.  The statement does not reflect what might happen
if there is a consolidation of wealth in the hands of a privileged few over the costs
and needs of those who "want in" to such a system.  The idea of free trade and
capitalism, in general, is one where the playing field should be open to as many people
and organizations as possible without the collusion that might happen in such endeavors
to crowd out competition.

Discuss the theme of appearance vs. reality in the play A Streetcar Named Desire.

The theme of appearance vs. reality in Streetcar
Named Desire is most obviously seen in the character of
Blanche.

Blanche tries to give off the appearance and
maintain a reputation of being genteel, proper, reserved, educated, and sophisticated. 
She tries to appear as a person from the Old South.

In
reality, she sneaks drinks every chance she gets, tries to seduce a boy when she finds
herself alone with him, flirts with Stanley, and has a secret past that finally gets
revealed.

This is not to say that Blanche is not at all
sympathetic.  She is, at least in some ways, in a no-win situation.  The economy in the
South was destroyed by the Civil War, and numerous plantation owners (as Blanche's
family was) never recovered.  As she says in the final scene, she has always had to
depend on the kindness of strangers--specifically,
men.

Perhaps the most moving example of appearance not
meshing with reality is the reversal in the final scene.  Blanche actually tells the
truth about being raped by Stanley, while Stanley lies.  Blanche's means of coping is to
hold on to the hope that her old friend is coming to rescue her, a hope everyone, both
the other characters and the audience, knows is false.

Calculate (z1+1)^10+(z2+1)^10. z1, z2 are the solutions of equation z^2+z+1.

If z^2 + z + 1 = 0, that means that if we'll multiply both
sides by (z-1), we'll get:

(z-1)(z^2 + z + 1) =
0

But the product is the result of difference of
cubes:

z^3 - 1 = (z-1)(z^2 + z +
1)

If (z-1)(z^2 + z + 1) = 0, then z^3 - 1 =
0

We'll add 1 both sides:

z^3
= 1

z1 and z2 are the roots of the equation z^3 - 1 = 0,
so:

z1^3 = 1

z2^3  =
1

From the equation z^2 + z + 1 =
0

z + 1 = -z^2

We'll
substitute z1 and z2:

z1 + 1 =
-z1^2

z2 + 1 = -z2^2

(z1 +
1)^10 + (z2 + 1)^10 = (-z1^2)^10 + (-z2^2)^10

We'll
re-write the expression (-z1^2)^10 + (-z2^2)^10:

(-z1^2)^10
+ (-z2^2)^10 = (z1^2)^10 + (z2^2)^10

(z1^10)^2 +
(z2^10)^2

We'll write z1^10 =
z1^(9+1)

z1^(9+1)
= z1^9*z1

z1^9*z1 =
(z1^3)^2*z1

But z1^3 = 1

z1^10
= 1^2*z1

z1^10 = z1

z2^10 =
z2

So, 

(z1^10)^2 + (z2^10)^2
= z1^2 + z2^2

We'll use Viete's relations to express z1 +
z2:

z1 + z2 = -b/a

where b and
a are the coefficients of the quadratic equation

az^2 + bz
+ c = 0

In our case, the quadratic
is:

z^2 +z +1 = 0

a =
1

b = 1

c =
1

z1 + z2 = -1/1

z1 + z2 =
-1

z1*z2 = c/a

z1*z2 =
1

z1^2 + z2^2 = (z1 + z2)^2 -
2z1*z2

(z1 + 1)^10 + (z2 + 1)^10 = (-1)^2 -
2*1

(z1 + 1)^10 + (z2 + 1)^10 = 1 -
2

(z1 + 1)^10 + (z2 + 1)^10 =
-1

What are some examples of puns in Shakespeare's Much Ado About Nothing ?

Characteristic of Shakespeare, since Much Ado
About Nothing is a comedy, a vast amount of puns, or play on words, can be
found all throughout the play. Listed below are a few:

The first pun
can actually be found in the title. The word "nothing" is a pun because the Elizabethan
audience would have heard it as "noting." The Elizabethans considered "noting" to be
another word for observing, or even eavesdropping, and as we see, the consequences of
eavesdropping is a central theme in the play. Hence, the title is a pun that can also be
translated as Much Ado About "Eavesdropping" ( href="http://dsc.dixie.edu/shakespeare/muchess.htm">Chidester, "Much Ado About
'Noting'").

Another pun can be found in the opening scene
when Beatrice refers to Benedick as "Signior Mountanto" (I.i.25). Mountanto can be
interpreted as referring to "montanto," which is a fencing term referring to an upward
thrust. Hence, this is a play on words being used to refer to Benedick's poor fencing
skills.

A third pun can also be found in this scene. Beatrice refers
to Benedick as a "very valiant trencherman" (42). The word "trencherman" can refer to a
person with a big appetite and Beatrice is arguing that the only reason why Benedick
joined the company in the wars is because he was given free food, or "musty victual,"
meaning "stale food" (41). However, trencherman can also mean parasite, showing us that
Beatrice is making a play on words to portray Benedick as both a person with a big
appetite and one who takes advantage of others, such as taking advantage of free
food.

What are three examples of irony in A Separate Peace by John Knowles?

Examples of Irony:

1.  The
boy who is considered the weakest at Devon--Leper--is the first to enlist in the war
effort.  Granted, Leper does not make it very far in the training process, but his
initial decision to leave school and enlist surprises
everyone.

2. It is also ironic that Finny's second
"accident," the fall down the steps, causes him to break the same leg again.  This is
ironic and symbolic.  It's as if Gene injures Finny a second
time.

3. At the novel's end, the doctor explains to Gene
that Finny died during surgery when marrow--representative of life and living life to
the fullest in literature--causes a blood clot of sorts which stops Finny's heart.  It's
as if Finny is so full of life that it kills him.

What is the difference between Newtonian Mechanics and Relativity

Newtonian mathematics is deterministic, as in, everything
that is or will happen can be calculated if you know what did happen and is happening
now.

Relativity is not deterministic and operates under the
principles of statistics and probability.  It accounts for the seemingly random
movements of particles.  The Heisenberg uncertainty principle is a staple of such
thought, and it states that you cannot know certain pairs of physical proprerties (like
position and momentum) simultanesouly.

Realitivty accounts
for uncertainty; in Newtonian mathematics, everything is
certain.

On macro scales Newtonian mathematics works fine,
on micro scales it falls apart.  The atomic level is defined by relativty, yet, 
together this uncertainty creates a quite predictable macro
scale.

Some believe that this "uncertainty" does not exist
at all, and it is merely our limitations in understanding that make it appear that
way.

Atticus believes that to understand someone, you "walk in his or her own shoes." From what other perspectives does Scout see her fellow townspeople?

That's a good list, so I'll just add to
it. 

Scout sees things from Walter Cunningham's perspective
when Miss Caroline tries to give him lunch money.  She understands that the Cunninghams
won't take what they can't repay.  When he comes to share the noon meal with them, she
is awed that he and Atticus can carry on such an adult conversation about things she
doesn't understand at all.  (This doesn't keep her from being rude to her invited guest,
though.)

Scout, at the very end of the story, sees things
from Boo Radley's perspective.  The conversation Atticus and Heck Tate have is fairly
veiled as they're arguing about letting the town know it was Boo who killed Bob Ewell. 
When her father asks her if she understands, Scout remarks that it'd be just like
killing a mockingbird.  She understands Boo's wish--need, even--to be kept out of the
public eye and speculation.

Scout and Jem both have a fresh
perspective on the cranky old woman they used to be afraid of--Mrs. Henry Lafayette
Dubose.  While they didn't see things from her point of view until it was too late and
Mrs. Dubose had died, they did have a new appreciation for the courage it must have
taken to overcome such an addiction.

Certainly they both
got a new perspective on living a bi-racial existence in a segregated South from their
short encounter with Dolphus Raymond.  From him they saw that race is not a determining
factor for human relationships, as well as the mindless prejudice of a town who needed
to find some other excuse to justify its intolerance.

Keep
looking, as there are undoubtedly more; nearly everyone in this novel teaches the
kids--and Scout in particular--to see things from another perspective.  (How about Lula
at Cal's church who hates them because they're white; or Mr. Underwood who has no love
for blacks but is awfully intolerant of unfair treatment; or Mayella Ewell who is just
lonely and wants a friend--any  friend.) Those two years, and particularly that summer,
were certainly growing times for the young Scout.

How does Atticus' opinion of Mrs. Dubose fit in with his defense of Tom Robinson?Atticus explains to the children why he thinks Mrs. Duboe is a...

I wanted you to see what real courage is, instead of
getting the idea that courage is a man with a gun in his hand. It's when you know you're
licked before you begin but you begin anyway and you see it through no matter what. You
rarely win, but sometimes you do. Mrs Dubose won, all ninety-eight pounds of her.
According to her views, she died beholden to nothing and nobody. She was the bravest
person I ever knew.'

Atticus
Finch

This is the quote Atticus uses to explain to the
children why Mrs. Dubose is heroic.  In the story Mrs. Dubose wants to fight her
addiction to morphine before she passes away.  Many people see her as a mean old lady;
however, she is determined to die on her own terms remaining true to her own
conscious.

Another famous quote in the book from Atticus
is, "The one thing that doesn't abide by majority rule is a person's
conscience."

Mrs. Dubose knows in the novel she is dying
and that by not taking the morphine, not only is her own death imminent, but she will
die in pain.  In the same way Atticus knows he is going to lose the trial of Tom
Robinson and face ridicule and judgement from many people in town.  Both characters
though know, ultimately, the most important person they need to answer to is
himself/herself.  Neither Atticus or Mrs. Dubose could live or die courageously or
justly with another decision than the one they made.

find the minimmum value for f(x) = x^2 + 6x -5

To calculate the local extremes of a function, minimum or
maximum, we'll do the first derivative test. 

f'(x) = (x^2
+ 6x -5)'

f'(x) = 2x + 6

Now,
we'll calculate the roots of the first derivative. Each root of derivative represents
the value for the function f(x) has an extreme value.

f'(x)
= 0

2x + 6 = 0

We'll factorize
by 2:

2(x+3) = 0

We'll divide
by 2:

x + 3 = 0

We'll subtract
3 both sides:

x = -3

Now,
we'll calculate the minimum value of the function:

f(-3) =
(-3)^2 + 6*(-3) - 5

f(-3) = 9 - 18 -
5

f(-3) =
-14

The coordinates of the minimum point are:
(-3 , -14).

What are some examples of poetic theory?

There are multiple theories to which one could apply a
critical analysis of a poem. The theories that can be applied to poetry are the same
which are applied to literature in general. The following literary theories are normally
used when examining and criticising literature.

Moral
Criticism (periods dating 360 BC to Present)-Based upon the thoughts of Plato and
Aristotle. This theory looked at art (literature) in regards to its representation of
moral good. Plato and Aristotle disagreed. For example, they disagreed that poets
represent nature in a mediocre fashion.

New Criticism
(periods dating 1930-Present)- These texts were examined in regards to their social or
historical forces or ethical statements.

Psychoanalytic
(1930-Present)-Based upon Freudian thought regarding the unconscious, the desires, and
the defenses.

Marxist (1930- Present)-This theory focused
upon social standing, personal values, and believability of the
work.

Reader-Response (1960-Present)-This theory focuses
upon the readers response to the text. Questions asked about the reading should focus
upon reader interaction, reader experience, reader interpretation, and if the reader was
acknowledged by the author.

Structuralism (1920-Present)-
This theory examines the use of the linguistics and semiotics within a text. It also
examines patterns and experiences within a
text.

Deconstruction (1966-Present)-This theory examines
how systems, frameworks and definitions are broken down for a
reader.

New Historicism (1980-Present)-When using this
theory, critics determine the importance of the time period, culture, and political
movements which influenced the work.

Post-Colonial
(1990-Present)-This theory focuses upon the literary works of people who were/are
colonized and those in colonial power.

Feminist
(1960-Present)-This theory examines the treatment of women in regards to political,
economic, psychological, and social degradation and
oppression.

Gender/Queer Studies (1970-Present)- This
theory was influenced by Feminist theory and examines the "hows" in regard to the
breakdowns of sexuality and gender bias.

Could FDR have gotten divorced?affair with Lucy Mercer

He could have, but it would not have been good for
him.

In these days, divorce was possible, but it was
difficult.  If his wife could prove he had been having an affair, she could have
divorced him.  For him to divorce her, he would have had to find some kind of grounds
for it (there was none of the "no-fault" divorce that we have
now).

But if FDR had gotten divorced, I would say that his
political career would have been pretty much dead.  People in those days were much less
forgiving of things like that and they would have thought that his (presumably) bad
character would have made him a poor choice for office.

Explain the golden triangle .

A golden ratio is   (1+sqrt5)/2. It is the positive
solution of of the equation x^2-x-1 = 0.

A golden triangle
is a special isosceles triangle  whose isosceles side and the base are in the ratio
(1+sqrt5)/2 : 1. Or (1+sqrt5):2.

The angles of the golden
triangles are 72 degree , 72 degree and 36 degree. Or the angles of a golden triangle
are in the ratio 2:2:1.

In a regular 10 sided regular
polygon, the the lines joining the centre and the ends of a side make the required
golden triagle.

We can construct the golden triangle very
easily.

We can our own unit AB., drawn on a
paper.

Take 2 units and 3 units as the side of a right
angle and its hypotenuse. Then the other side gives us the value of sqrt(3^2-2^2) =
sqrt5.  So with our own unit , sqrt 5 units  we can construct a special golden triangle
of 2 units base and each of isosceles sides with (sqrt5+1)
units. 

How does staging affect the plot of Much Ado About Nothing?Give specific examples.

The most appropriate way to answer this question would be
to take a particular staging of the play and consider how that production's staging
affects the plot.  However, it is possible to consider some moments in the play in which
staging might affect what we understand as the plot simply from reading the play.  The
moments that occur to me most readily are the two moments in which Don John tries to
convince Claudio that Hero is unfaithful.

The first is in
Act II, scene i.  There is a masked dance underway, and different couples are
conversing.  Much about this scene must be decided by the company producing the play: 
Are men and women wearing masks or only the men?  What sort of dance are they doing? 
How is the dance performed; are all dancers onstage together?  It is just this sort of
scene in a Shakespeare play that reminds the reader that the play can't really be
understood completely unless it is seen live, as it was intended.  In this scene, Hero
and Don Pedro are dancing together, as Don Pedro has promised Claudio that he will
disguise himself as Claudio to win Hero's hand in
marriage.

As the dancers dance themselves off-stage, the
non-dancers -- Claudio, and Don John and one of his henchmen -- are left onstage.  We do
not know, simply from reading, how Don Pedro and Hero have acted together and if Hero is
flirting with a man she believes is Claudio or not, but Don John convinces Claudio that
Don Pedro has wooed Hero for himself.  The plot is concerned here because it could be
staged either way.  Hero could be presented as somewhat of a flirty girl who is
enamoured of Don Pedro or not.  And this would affect the plot because it would either
give Claudio cause to be jealous or not.  The question, for the time being, is cleared
up when, later in the scene, Don Pedro presents Hero to Claudio as his fiancee.  Don
Pedro has indeed wooed in Claudio's name as promised.

The
other scene that concerns Hero's fidelity is the scene written by Shakespeare to happen
offstage, the wooing of Margaret by Borachio in the name of Hero.  It would come at the
end of Act III, scene ii.  This scene is sometimes presented in dumb-show even though
Shakespeare did not include it in his play.  Showing the audience what it is that
Claudio sees can definitely change the plot for the audience since they can either agree
or disagree, based on what they see, about whether Claudio is justified in accusing Hero
of infidelity or not.

Both of these moments in which
Claudio is led to believe that Hero is not faithful to him could alter the perception of
the plot of the play based upon how they are staged.

The
essay in the link I've provided below on appearance versus reality in the play gives
some more suggestions as to moments where staging affects plot.

Find the distance between the line y+2x -5= 0 and the point (1,3).

The distance from a point to a given lineis the
perpendicular to that line.

We have to determine the
equation of the line that passes through the given
points.

We'll note the given line by l:y+2x -5=
0 

Because we don't know the coordinates of the
intercepting point of 2 perpendicular lines, we'll calculate the distance using the
formula:

d(point,l)=|(3+2-5)|/sqrt[(2)^2+(-5)^2]

d(point,l)
= 0/sqrt
29

d(point,l) =
0

So,
there is no distance between the point and the given line, meaning that the point is
located on the line.

We'll
prove that by substituting the coordinates of the point in the eq. of the line, y+2x -5=
0.

3 + 2*1 - 5 = 0

0 = 0
q.e.d

What is the indefinite integral of ( sinx + cos x )/ ( sinx -cosx ) ?

To determine the indefinite integral when the integrand is
the given function, we'll use substitution technique.

We'll
change the variable x, substituting the denominator by another variable,
t.

We'll note the denominator sin x - cos x =
t(x)

We'll differentiate the
denominator:

(sin x - cos x)' = [cos x - (-sin
x)]dx

(cos x + sin x)dx
= dt

We'll notice that the numerator of the function is the
result of differentiating the function.

We'll calculate the
integral:

Int f(x) = Int
dt/t

Int dt/t = ln |t| + C

But
t = sin x - cos x

The indefinite integral of
(sinx + cos x)/ (sinx -cosx) is:

Int f(x) = ln|sin x - cos x|
+ C

What are the chemical formulas for fog, sand, and vinegar? Or do they not have chemical formulas?

Sand and fog are both mixture and therefore they do not
have a chemical formula. Sand is term used for material that ones consisted of rocks and
has, as a part of natural process, crumbled to small particles. Like rocks the sands can
be of many different types. Each of these types is composed of mixtures of many
different minerals.

Fog is composed of fine particles of
moisture - that is water - suspended in air. The air itself is a mixture of many
different gases. The moisture of the fog is an additional ingredient in the mixture of
gases called air.

Common vinegar is also a mixture.
However, the main ingredient of vinegar, which is acetic acid, is a compound. The
chemical formula of Acetic acid is CH3COOH.

How does Harper Lee use minor characters in To Kill A Mockingbird to explore some of the main concerns of the novel?Chose three of the following:...

I think you will get several answers to this question - so
I will tackle only a few of the options.  First, let's consider some of the smaller of
the main concerns of the novel (themes, if you will): hypocrisy and the difficulty of
being an "outsider" in a small southern town.

Grace
Merriweather - is used as a character who presents hypocrisy.  In her "missionary tea"
Scout records fairly accurately (if not unintentionally) the sheer hypocrisy of the
"ladies of high society" that gathered together that day in the name of Jesus.  The
point of the Missionary Society is to discuss (and presumably financially support)
missions work in other countries.  While the ladies lament and allow their hearts to be
broken for the lost souls scattered throughout the world - and back up the effort to
help them and eventually save them in the name of Jesus - they then turn and badmouth
the Robinsons and other black families right there in the town of Maycomb.  One says
something to the effect of, "There's nothing worse than a sulky darky."  How can the
same woman spread the gospel and then turn and degrade someone in her own town in
practically the same breath?

Dolphus Raymond - the short of
his story is that he chooses to live (and has had several "mixed children") with black
people.  He is white.  This is socially unacceptable in the small town of Maycomb.  So
he walks around with a brown paper bag - which everyone assumes he's drinking liquor
from.  It turns out he is not a drunk at all - he is merely drinking orange soda - but
it is easier for him to live with the reputation of being a heartbroken man who turned
into the town drunk - than the man who chooses to live with black people.  What does
that say about this society?

Miss Caroline - also
demonstrates the difficulty of being an outsider in a small southern town.  With all the
best and brightest intentions in the world, she starts the first day of school with a
fresh face and a fresh dress... she learns within a few hours just how much she couldn't
possibly learn in her school-teacher-training.  She knows nothing about any of the
families of the students who sit in her classroom - and what is worse - she is the ONLY
one in the room who is so ignorant.  The comical scene of the adult teacher learning
from one of the young students in the class only heightens the pity the reader feels for
Miss Caroline - because we are the only ones who know it really isn't her
fault.

Summary of the second coming.

This is one of the most profound poems imaginable.  It
takes a great deal of patience and deliberation to explicate.  However, upon doing so, I
guarantee that it will be a poem whose words and thoughts will remain in the mind's eye.
 Context is needed in order to fully grasp it. Yeats is writing in the aftermath of
World War I, where he had seen so many fine youth of a nation go out in the belief of
nation, government, and spiritual identity and fight in a war where there were really no
winners.  No European nation could claim victory with the large amount of death and
destruction.  They say that the orphans from World War I amassed more than anyone could
imagine. It is in this setting where Yeats composes his poem.  The opening lines of the
poem set this mood of complete loss and disenchantment with what is.  The "widening
gyre" helps to bring to light that some uncontrollable vortex is encompassing all
consciousness.  In this black hole, inversion reigns supreme.  There is the idea that
what was intended is not meant to be.  The "falcon cannot hear the falconer" and "things
fall apart" while "the center cannot hold."  These images help to bring to light a world
where there is no central or guiding force or authority, and a sense of looseness in
identity and focus has emerged.  What was once believed no longer applies.  This is
especially poignant when considering the millions of soldiers who fought in believing in
nationalism, militarism, spiritualism, paternalism, and any other "-ism" one can find.
 (Alongside of this poem, might I suggest reading Pirandello's short story, "War.")  
This condition continues until the first stanza's closing couplet, revealing a world
where terror is the only adjective to describe:  "The best lack all conviction/ while
the worst are filled with passionate intensity."  With such a conclusion, the sense of
despair looms large in the poem. The second stanza appeals to the Christian hope of the
title.  The belief is that Jesus Christ will emerge at the point where salvation is most
needed and redeem humanity.  Yet, in true Modernist form, Yeats inverts such a
totalizing and transcendent image.  As the stanza opens with notes of hope in that the
"Second Coming is at hand," Yeats describes what he sees with a mixture of fear and even
more horror than the first stanza.  What ends up appearing in sight according to Yeats
is not the redeemer, but actually an Anti- Christ vision that he suggests emerges
because individuals have been "vexed to stony sleep."  The combination of being plunged
into despair by the events of World War I and the hope that redemption will surely
happen help to allow traction to this beast, who Yeats says, "Slouches towards Bethlehem
to be born."  If you throw the word, "waiting" in between "towards" and the Holy City,
you can make a nice comparison to Beckett's "Waiting for Godot."  The poem is even more
meaningful when considering that Yeats writes it about a decade before the rise of
Hitler, and the description of the Nazi leader as the "beast" might be highly
appropriate.  Yeats' closing vision reminds the reader that while the First World War
was horrific, it will be nothing in comparison to what lies ahead.   Yeats never
pretended to be a political scientist or a political advisor, but what he writes in 1920
proved to be more politically prophetic than what any other thinker of the time period
could have envisioned.

What crops went to Europe from America and vice versa in the Columbian Exchange.in Jared Diamonds Guns Germs and Steel, and chapter 18-Hemispheres...

The Columbian Exchange or "Great Exchange" really was one
of the most significant events in history.  The exchanges led to both progress and
destruction; new diseases and also a wide variety of crops.  Overall it led to an
increase in life expectancy and population in the world.  And precipitated the conquest
of the Americas by Eurasians

From New World
to Old World:

• Corn
  (Maize)


• Potatoes (White & Sweet
  Varieties)


• Beans (Snap, Kidney, & Lima
  Varieties)


• Tobacco (led to proliferation of slave
  trade)


• Peanuts


• Squash


• Peppers


• Tomatoes
  (became staple crop in Italian
  cooking)


• Pumpkins


• Pineapples


• Cacao
  (Source of Chocolate)


• Chicle (Source of Chewing
  Gum)


• Papayas


• Manioc
  (Tapioca)


• Guavas


• Avocados

From
Old World to New World

• Rice
  


• Wheat (led to increased population in
  Americas)


• Barley


• Oats


• Coffee


• Sugarcane
  (led to proliferation of slave trade, became staple crop in
  Europe)


• Bananas


• Melons


• Olives


• Dandelions


• Daisies


• Clover


• Ragweed


• Kentucky
  Bluegrass (surprisingly not from
  Kentucky)

Diamonds central thesis is how
Eurasian advantages led to the "conquering" of America.  The crops that Europe were able
to produce where much more domesticated (ie. wheat, cereals, etc) with the help of
animals (ie. horses) however, Native Americans crops were not as "domesticated (and
couldn't be worked with the help of animals) which led to more of a "hunter-gatherer"
lifestyle.  Europeans could stay put in areas and live closer to each other, hence
gaining immunization to certain diseases; differences in political organization and even
communication.  Native Americans had a disadvantage because of the types of crops which
led to a different lifestyle and susceptibility to disease and to some extent a lack of
"bureaucratic" knowledge that is needed in successful enterprise such as empire making.
 Diamond goes into much more detail.  Its a great book worth a
read

How is society impersonal in Fahrenheit 451? Give a specific example that defends this fact.

I would say that Clarisse's relationship with her family
and that experience being so far from the norm is one particular example of how the
social order is impersonal.  When Montag understands the Clarisse's relationship with
her family is one of personal connection, talking, and enjoying the presence of others'
company, we fully grasp how the prevailing social order discredits human emotion.  We
also understand, to a certain extent, why Montag and Mildred are so fundamentally
distant with one another.  Resistance and active stances against social or governmental
orders can more likely be fostered in settings where individuals feel a personal stake
being threatened.  Such realities are enhanced when there is a connection between people
that is shared on an emotional level.  If there is emotional distance between people,
and a sense of isolation present in their personal lives, then there is a greater chance
that this would result in apathy and distance, substantiating the current power
structure.

Prove that f(x)=x+e^x is a bijective function.

To prove that a function is bijective, we have to
demonstrate that the function is one-one and on-to
function.

In order to verify if the function is one-one,
we'll apply the first derivative test. This test  verifies if the function is strictly
increasing. If the function is strictly increasing, then the function is an one-one
function.

So, let's calculate  the first
derivative:

f'(x)=1+e^x

1>0
and e^x>0, so, 1+e^x>0 => so the function f(x) is strictly
increasing.

Now, we'll verify if the function is on-to
function. Because f is a sum of elementary function, f is a continuous function
=> f is an on-to function.

We've verified that f is
both, one-one and on-to function, so f(x) is a bijective
function.

What is he speaking of when Winston says,"I understand HOW: I do not understand WHY"? p68, book 1, chapter 7

In order to get the answer to this, just look above the
line that you quote to us.  If you look there, you will see that Winston is referring to
his job.  He is talking about how the Party takes the past and changes it.  Here is the
quote you are looking for:

readability="9">

The immediate advantages of falsifying the past
were obvious, but the ultimate motive was mysterious. He took up his pen again and
wrote:

I understand HOW: I do not understand
WHY.

Winston wonders this
when he finds the picture of those three guys in a situation that totally makes a lie
out of the Party's official history.  He wonders why the Party would go to such lengths
(paying him and so many others like him) to tell lies about the
past.

Is coffee acidic or basic in nature?

First, when it comes to coffee acidity refers to the roast
and variety, not the actual acid content, just like how you can describe wines by their
acidity.  It describes the sensation the brew gives on the tip of the tongue and/or roof
of the mouth.  It essentially refers to its bitterness.  Without that bitterness coffee
tastes flat, but when it is too much it can feel too dry to
drink.

In chemical terms, coffee is slightly acidic, but
nothing compared to carbonated beverages.  It's pH is on average in the range of
5.0.-5.1. which puts it more around neutral than it does acidic.  The darker the roasted
coffees the less acidic they are.

What does antediluvian mean?

This word means "before the flood" or (in a figurative
way) something from a very, very long time ago.  It can also mean very old-fashioned (as
in "he had a very antediluvian attitude towards
women").

For me the best way to remember it is this. 
First, you should be able to remember that "ante" means "before."  If you speak Spanish,
you know that "antes" means "before."  And the "A" in AM means "ante" or "before. 
Second, I think that "diluvian" sounds like "deluge" (at least the "diluv" part does). 
Since "deluge" means flood, that's how I used to remember this
word.

What are the 3 objections to answering Yali's question?This can be found in the prologue

I think that you mean "objections" to Yali's question and
not "objectives."  That is why I have changed the question...  The three objections
are:

1. If we explain why some people rule over or
   dominate others, aren't we saying that the domination is okay?  If we say that the
   Europeans dominate Yali's people due to various reasons, aren't we saying that it is
   right for the to dominate?


2. If we answer this question,
   aren't we automatically being pro-European?  Isn't it wrong to talk about European
   dominance when that might be disappearing anyway?


3. Doesn't
   the question imply that civilization is good and other types of society are
   not?

What are the causes congenital heart disease?

The exact cause of most congenital heart diseases is still
unknown. Though, it is known that certain factors increase their risk.
For
instance, if there are similar conditions in the family, the child may inherit the genes
that transmit these diseases. Also, if the mother drinks alcohol or consumes drugs
during pregnancy, these things increase the risk of congenital heart defects. The risk
of congenital heart diseases is increased, if the child is born prematurely or the child
has a genetic disease like Down syndrome.

The risk of
congenital heart diseases is increased, if the mother has diabetes or come in contact
with diseases like rubella, during pregnancy.

Usually,
congenital heart defects cannot be prevented. In any case, the risk of congenital heart
diseases can be decreased your through the following
measures:

• Best possible immunity before
  pregnancy;


• Maintaining the healthy state
  during pregnancy;


• Genetic testing before pregnancy, in
  case of a history of congenital heart illness in the
  family.