Where can I find direct information regarding the influences that the telegraph had on Westward Expansion?

Several ideas come to mind with regard to your question.
The U.S. Library of Congress is a gold mine of primary source information. As the
telegraph lines made there way across the U.S. early telegraph offices were government
operated. A good way to start is to locate the railroad stations west of Chicago and St.
Louis. Early telegraph lines usually followed the rail lines ( because the land was
already cleared). You can look through old city/town records by contacting the local
historical societies for information regarding local railroad histories which most
likely include telegraph histories as well.

In addition,
the archives of newspaper publications can both offer you information as well as lead to
to other sources.

During an illness, a patient's body tempT satisfied the inequality |T - 98.6| £ 2. Find lowest temp patient could have had during llness.

The temperature of the patient is given by the relation,
|T-98.6| < = 2.

To find the lowest temperature the
patient had during the illness.

|T-98.6| < =
2

Therefore  for  T > 98.6 , the relation is T -98.6
< = 2. Or

T < = 96.6+2 = 98.6 . But this
solution of T is not giving us the required information , as it gives the information of
maximum temperature.

So we gor for T < =
98.6.

When T< =98.6 , the relation |T-98.6| <
2 implies 98.6 -T < 2. Or

98.6 - T+T <
= 2+T.

98.6 < =2+T

98.6
-2 < = 2-2 +T

96.6 < =
T.

Therefore this gives the information that lowest
temperature the patient had was 96.6 during his illness.

In "The Cask of Amontillado", what are the two requirements for the best revenge?It should say so in the first paragraph

Well, this is a very interesting question because some
critics would say that you can't consider "The Cask of Amontillado" as a typical revenge
story, because we as readers are unsure of how reliable Montresor is as a narrator, but
leaving that behind, the first paragraph establishes the position of someone who feels
(at least) that he has been grievously wronged by someone and wants to get his own back
against him - the two classic ingredients of a
revenge:

The
thousand injuries of Fortunato I had borne as best I could; but when he ventured upon
insult, I vowed revenge. You, who so well know the nature of my soul, will not suppose,
however, that I gave utterance to a threat. At length I would be avenged; this was a
point definitively settled - but the very definitiveness with which it was resolved
precluded the idea of risk. I must not only punish, but punish with impunity. A wrong is
unredressed when retribution overtakes its redresser. It is equally unredressed
when the avenger fails to make himself felt as such to him who has done the
wrong.

Montresor thus here
expresses how insulted he has been by Fortunato, and also is defiant in his desire to
see revenge visited upon Fortunato, but interestingly, in a way that lets Montresor get
away with the crime and also express to Fortunato how much he has been insulted. Thus
the stage is set for the rest of this chilling story...

Compare and contrast The Lovely Bones book and movie.

While The Lovely Bones is told from a
deceased person's point of view, it is not a fantasy. The film version devotes so much
time to the fantastical elements of Susie's time in Heaven, that much of the gritty
reality of a family's coping with the brutal murder of their daughter/sister is somewhat
lost. I think that much of the fantasy feel of the movie came from Peter Jackson who
also directed/produced The Lord of the Rings film trilogy. The
problem is that Sebold's novel focuses most on the harsh splintering of the Salmon
family because of Susie's death--not on Susie's posthumous fantasy world. Much of what
makes the novel such a popular read is Sebold's portrayal of reality; in fact, if
someone first reads Sebold's memoir Lucky which chronicles her
being raped and coping with the aftermath, much of The Lovely Bones
becomes even more real to the reader.

So, while
critics of film versions of popular books often cite characterization or event
discrepancies as reasons for not appreciating the movie version, The Lovely
Bones is different in that the filmmaker actually changes the book's focus
and tone which to me is a more significant alteration than leaving a couple events out
here and there.

What is the veto power of the Security Council?

All decisions taken by the United Nations are on matters
classified as either procedural or substantive. Each of them has to be ratified by the
Security council.

The United Nation's Security council
consists of 15 members nations. Five of them have a permanent membership and they
include the US, the UK, China, France and the Russian Federation. The other members of
the Security council are non-permanent and are elected for a term of two years by the
members of the General Council.

Draft resolutions
pertaining to procedural matters only need 9  affirmative votes by any of the 15 members
of the security council to be passed. Those involving substantive matters on the other
hand require 9 affirmative votes by any of the 15 member nations, as well as no negative
vote by any of the five permanent members. If any of the permanent members casts a
negative vote, the draft resolution being ratified cannot be accepted.
This special privilege given to the five permanent members is called the
veto power. It ensures any decision taken on substantive matters has the
approval of all the permanent members.

Briefly describe the heroism shown by Sarpedon as an ally of the Trojans.

The Lycian warrior Sarpedon was a son of Zeus and in the
Trojan War he was an ally of the Trojans. Sarpedon has a significant appearance in Book
5 of Homer's Iliad, where he spurs Hector on to action and then
later kills Tlepolemus, who was a son of Heracles (Hercules). In the process of killing
Tlepolemus, Sarpedon himself was wounded because "two long spears flew from their hands
together" (Iliad 5.657).

We also find
Sarpedon playing a significant role in Iliad 12, as the Trojans
make an assault on the Greek camp. It is Sarpedon who first makes a massive hole in the
wall of the Greek fortifications, before he is driven back by Ajax and
Teucer.

Sarpedon's final appearance in the Iliad
occurs in Book 16, as Sarpedon is killed in battle by Patroclus. Because
Sarpedon was a son of Zeus, Zeus briefly considers rescuing his son from death, but Hera
persuades him not to do this. Zeus agrees not to go against what is fated to happen and
thus Sarpedon dies.

A beautiful vase painting exists
showing Sleep and Death, under the direction of Hermes, carrying Sarpedon off of the
battlefield (see the theoi.com link).

How do the violent episodes in Of Mice and Men present Lennie's character to the reader?Refer to the series of events in which he killed the mice,...

Lennie is a classic example of someone who both doesn't
know his own strength and can't control his emotions.  When he gets angry or scared, the
reaction is always the same.  He only comes to the realization that he was wrong after
the fact, after the violence has happened, and then he regrets it loudly and
openly.

Even though he is violent, Lennie is still
presented as a sympathetic character.  He is likable and funny, even though he doesn't
know it.  The reader knows the things he does are really bad, and cannot go on without
Lennie getting locked up or killed, but in the end we still want him to get
away.

The girl in Weed is sort of a vague stroy about a
girl in a red dress.  George explains it to Slim later in the story, but we don't get a
lot of details.  With Curley, George told Lennie to fight back, and he did,
spectacularly, but feels very badly after he hurts Curley, unsure when violence is OK
since George told him to.  Curley's wife's death was accidental, like the killing of the
mice (by "petting them too hard"), again, Lennie not knowing his own
strength.