What did Elizabeth mean by her final statement in Act IV of The Crucible?

Elizabeth's final statement is a testament to how much she
has changed and how much her marriage to John has changed throughout the course of the
play.  From a point where she had difficulty understanding John and was distant from
him, to pleading with him to sign a false confession, to fully understanding his
motivations and why he must take the stand he does, she has become an almost
transcendental figure by the end of it.  The idea of her being able to fully grasp why
John must do what she does is one that reflects how much she has changed and how much
faith she has in him.  At the start of the play, the affair with Abigail had cast its
shadow in her lack of faith in him and the doubts that presented themselves in their
marriage.  Yet, in saying, "God forbid I take it from him," it is almost as if she
understands his stance, John's need to make right what was wrong, and his need to stand
for something in a society where no one does.  It is at this point and the very idea
that she would beg to God to make sure that she fully recognizes this higher sense of
sacrifice that reflects her transformation into a paragon of virtue and nobility at the
end of the play.

Which was the first computer language?

Computer language, or, more correctly, computer
programming language are systems of notations and instructions used to instruct or
program a computer to perform the operations it is required to perform. The programming
languages are classified as fist generation (1G), Second generation (2G) and third
Generation (3G) according to the extent of detailed instructions required to be
specified. 1G languages, also called machine languages, were the first ones to be
developed that specified detailed operation to be performed by the machine. Such
programming languages were specific to each type of computer. Such languages, developed
in early 1950,s were used by earliest computers like UNIVAC
I.

The Machine languages were very cumbersome to use, as
each operation by the computer had to be specified in great detail. To make things
easier, the 2G languages were developed later in 1950's 1950's. These languages called
assemblers or assembly language, that included facility to specify operations using
mnemonics and micro instructions. These languages were also machine specific. The
computer itself was programmed to convert the program written in these languages to
machine language.

Finally, starting from late 1950's the 3G
languages made it possible to specify the operations to be performed by computer  in
terms of simple arithmetical formula, logic, or other simple words and phrases in
English language. These included Languages such as FORTRAN and COBOL. These two names
have been formed by shortening the phrases "formula translation" and "common business
oriented language".

Simplify and use positive exponent (125 X^1/2 Y^-1/3)^-2/3 (X^1/3 Y-2/3)1/2 is power on x -1/3 is power on y -2/3 is power on whole braket both...

To simplify and use  positive
power:{[125x^(1/2)y^(-1/3)]^(-2/3) }
{x^(1/3)*y^(-2/3)}

Solution:

First
bracket:

{125x^(1/2) y^(-1/3)
}^(-2/3)

= 125^(-2/3) *x^(1/2*(-2/3))
*y((-1/3*(-2/3).

= (5^3)^(-2/3) * x^(-1/3)*y(2/9), as
a^m)^n = a^(mn)

=5^(-2) * x^ (-1/3) *
y^(2/9).............(1)

2nd bracket :
x^(1/3)*y^(-2/3)..........(2)

So the given expression =
{5^(-2) *x^(-1/3)*y^(2/9)}*{x^(1/3)*y^(-2/3)}

We can
rearrange x's together and y 's together as multiplication is commutative and the
expression is

 5^(-2)* (x^(-1/3)*x^(1/3))
(y^2/3)*y^(-2/3))

= (1/5^2). x ^(1/3 - 1/3)*
y^(2/9-6/9)

= 1/25
x^0*y^(-4/9) .

=1/(5^2* y^(4/9), as a^-m =
1/a^m.

How would you analyze President Reagan's Brandenburg Gate address?

Reagan's famous speech in front of the Brandenburg Gate
and the Berlin Wall in 1987 has been often quoted and the clip replayed over and over as
a pivotal point in the Cold War, where the leader of the "free world", Reagan, issued a
direct challenge to his Soviet counterpart, Mikhail Gorbachev to "Tear down this
wall".

But the speech itself is not that significant in my
opinion.  It is, like most political speeches, largely symbolic.  And while standing in
front of the Berlin Wall in solidarity with NATO ally West Germany, as John F. Kennedy
had once done, makes for great political theater, it is still
theater.

In the end, the Wall was torn down by the Germans
themselves, and only after a popular revolution in their own country.  It wasn't because
Reagan asked them to (and it happened two years later).  Reagan is often, in my opinion,
given too much credit for "winning the Cold War", but I do love that speech, and from a
political standpoint, it was very effective.

If the roots of ax^2- 4x + b = 0 are 1/2 and 8, what is the value of (a + b)^2?

Let’s start with the given
equation:

ax^2 - 4x + b =0

we
write it as

=> x^2 - (4/a)x + (b/a)
=0

now as -1/2 and -8 are the roots of the equation we
have:

=> (x-1/2)(x-8) = x^2 - (4/a)x +
(b/a)

=> x^2 –(1/2 + 8)x + 4 = x^2 - (4/a)x +
(b/a)

So we have  8+ 1/2 = 4/a and 4 =
b/a

8+ 1/2 = 4/a

=> a =
8/17

b = 4a = 32/17

Therefore
(a + b)^2 = (8/17 + 32/17)^2 = (40/17)^2 = 1600/
289

The value of  (a+b)^2 = 1600/
289

What is the significance of "singing benna in sunday school" in Kincaid's "Girl"?

Kincaid uses several references to set up standards of
behavior in the story "Girl."  In the story, the mother tells her daughter that she must
not sing benna in Sunday school.  Benna is a type of West Indian music that draws close
comparison to calypso music.  The energetic tones of this type of music are in sharp
comparison to the reserved nature of church and religion, and therefore, the mother
tells her daughter that shse must leave this type of music for another time and place. 
The mention of this music is significant because it is an example that allows the reader
to get a sense of the cultural context in which the story in
situated.

Who are the characters in Treasure Island?

Other characters in Robert Louis Stevenson's
Treasure
Island include:

BILLY
BONES.  Billy Bones is the mysterious and colorful pirate who appears at
the Admiral Benbow Inn and stays for several months, drinking rum all day and telling
stories to anyone who will listen. He takes a liking to young Jim before Billy drops
dead of a stroke.

BEN GUNN. 
Ben Gunn is the shipwrecked pirate who inhabits Treasure Island. Ben befriends the
squire and the loyal members of the crew when they arrive and, we find later, that Ben
has already discovered the hidden
treasure.

BLACK DOG.  The
first pirate to locate Billy Bones at the Admiral Benbow Inn, Black Dog is distinguished
by his two missing fingers on his left hand. Billy runs him off from the inn, but he
later turns up at Long John Silver's
inn.

CAPTAIN FLINT.  Although
he never appears in the book, Flint is the former leader of the pirate crew who has
buried the treasure and left Ben Gunn behind. Silver has named his ever-present parrot
after the captain.