(m+n) + (5m-2)

Since it is not specified what is the request of the
problem, we'll simplify the given expression and we'll
get:

We'll remove the
brackets:

m+ n + 5m - 2

We'll
re-arrange the terms and we'll combine like terms:

(m+5m) +
(n-2)

The simplified expression
is:

(m+n) + (5m-2) = 6m + n -
2

If the request of the problem was to
determine m and n, we'll solve the problem:

(m+n) + (5m-2)
=  0+0

We'll put the first bracket as
0:

m + n = 0 (1)

We'll put the
second bracket as zero:

5m - 2 =
0

We'll add 2 both sides:

5m =
2

We'll divide by
5:

m = 5/2
(2)

We'll substitute m in
(1):

5/2 + n = 0

We'll
subtract 5/2 both sides:

n =
-5/2

Find the polar form of the complex number 7 – 5i.

The polar form of x+yi =  r(cost+isint), where r =
sqrt(x^2+y^2).

cost = x/sqrt(x^2+y^2) , sint = 
y/(x^2+y^2).

r is called the modulus of x+yi and t is called the
aruement or ampitude of x+yi.

Therefore the given complex number,
x+yi = 7 - 5i

r = sqrt {(7^2+(-5)^2} = sqrt(25+49) =
sqrt74.

Therefore  cos t = 7/sqrt74 and sin t
=-5/sqrt74.

Therefore  t =  arc tan (-5/7) = -0.6204 rad
appr.

Therefore  7-5i = sqrt74{ cost+isint) , where t = -0.6204
rad.

7-5i = sqrt74({cos (arc tan (-5/7) +i sin arctan(-5/7)} in
polar form.

Evaluate lim [sin(pi/3+ h) - sin(pi/3)] / h as h---> 0

lim [sin(pi/3 + h) - sin(i/3) / h  as h-->
0

It is obvious frm the definition of the derivtive. we
know that:

f'(x)= lim (f(x+h) - f(x)]/h   as h -->
0

Thenwe will assume
that:

f(x) =
sinx   

==> f'(pi/3) = lim [sin(pi/3 + h) - sinpi/3]
/h  as h-->0

Now we will differetiate
f(x)

f'(x) = cosx

==>
f'(pi/3)= cos(pi/3)

                   
=cos60

                     =
1/2

==>lim [sin(pi/3 + h) -
sin(pi/3)]/ h   as -->  is 1/2

In The Adventures of Huckleberry Finn, how long did it take Huck to apologise to Jim?

The answer to your question can be found in Chapter Fifteen of
this great story. Remember that key to understanding this tale is that we witness the gradual
coming of age and moral maturity of Huck, the central protagonist. The event you allude to marks
a key moment in his moral growth, as he defies social conventions and customs and apologises to a
runaway slave, admitting he was wrong and understanding how he hurt Jim in the process. For a
white boy to do this to a runaway slave shows incredible force of character, as Huck was going
against everything he had learnt and been taught in his upbringing. Note what Huck tells us about
his apology:

It was
fifteen minutes before I could work myself up to go and humble myself to a nigger; but I done it,
and I warn't ever sorry for it afterwards,
neither.

So, we can see that it took
Huck fifteen minutes to resolve his inner conflict and follow his heart rather than his
head.

Beginning with the serving of coffee Bronte shifts her narrative into the present tense. Why does she do this, and what is the effect on the...

Bronte switches to the present tense to communicate Jane's
heightened state of awareness and sensation around Mr. Rochester, after she tried to convince
herself of the fact that they'll never be together. Prior to this moment, we've read about how
attracted Jane is to Rochester, how strong a connection she feels to him, how much she treasures
and values his differences. Yet Bronte ends this moment with Jane concluding that she must
abandon the hope of them ever being together.

The present tense in
this passage gives the reader a sense of almost being in the room, enriching the words with a
vividness and energy, that it's as if we're in the drawing room as well, looking around at all
the characters.

What is value of the derivative of x^3 + y^3 = 14xy at (7,7)?

Given the equation:

x^3 + y^3 =
14xy

We need to find the value of the first derivative at the point
(7,7).

First we will use implicit
differentiation.

==> (x^3)' + (y^3)' =
14(xy)'

==> 3x^2 + 3y^2 *y' = 14[
(x'y+xy')]

==> 3x^2 + 3y^2 y' = 14(y +
xy')

==> 3x^2 + 3y^2 y' = 14y +
14xy'

Now we will combine terms with
y'.

==> 3y^2 y' - 14xy' = 14y -
3x^2

==> y' ( 3y^2-14x) = 14y -
3x^2

==> y' = (14y-3x^2)/
(3y^2-14x)

Now we will substitute with
(7,7)

==> y'(7,7) = (14*7 - 3*7^2) / (3*7^2 -
14*7)

= 98-147 / 147-98

= -49/49 =
-1

Then the value of the derivative is
(-1).

What is the point of view in "The Masque of the Red Death"?

While Poe's story is apparently told from third-person objective
point of view with a narrator recounting an allegorical story, there are other interpretations of
Poe's narrator in "The Masque of the Red Death."

One interpretation
of Poe's narrator is that of Leonard Cassuto who contends the narration is that of the Red Death
himself.  Since Prince Prospero dies about a paragraph and a half before the end of the story,
this interpretation certainly seems plausible.  Added to this, the last line appears to express a
rather victorious view:

readability="6">

And the flames of the tripods expired.  And Darkness and
Decay and the Red Death held illimitable dominion over
all.

Another interpretation--somewhat
Freudian, it seems--holds that the narrator is the subconscious of Prince Prospero himself. 
Thus, the narrative is the workings of his mind as he wrestles with his own mortality and his
death is not literal, but psychological.  Still, yet another interpretation holds that "The
Masque of the Red Death" is a Biblical morality tale in which God sends a pestilence to punish
the people for their evil and debauchery.  As such, the narrator, then, is a divine
being.

Perhaps, the ambiguity of who is the narrator of his macabre
story make exist because Poe wishes to express what Ugo Betti has
written:

Every tiny
part of us cries out against the idea of dying, and hopes to
live forever.

Compare and contrast the significance of 1789 for the US and France.1789

I would say that 1789 marked a turning point in the
political history of both the United States and France.  However, the turning point for
the United States led to stability while the turning point for France led to chaos that
would last for a number of years before finally resolving
itself.

In 1789, the Constitution of the United States went
into effect.  This was a huge turning point for the US.  Before this, the US had had a
lot of trouble because it did not have enough of a central authority.  Its states had
too much power and this led to instability.  The new Constitution fixed
that.

By contrast, France became less stable in 1789.  The
start of the French Revolution overthrew the monarchy, which is a good thing.  But
France would face decades of hard times before it settled on a new form of government
that would give it internal stability and external peace.

In All Quiet on the Western Front, what dreams do the various members of the group have about going home?

The men's dreams of going home seem to vary based on their age
and experience.  For example, Detering who is one of the older men in the group has left behind
his wife and his farm which he talks about constantly.  He dreams of going home to resume the
beloved lifestyle that he left behind. Kat, another older soldier, also wants to go home to his
family.  These dreams of returning to lives left behind motivate the older men to struggle on
through the battles of the war.  However, the younger soldiers do not have these ties to home,
and so they at first dream of returning beloved soldiers.  But as time goes on, they feel like
they have less and less to live for, and their dreams of home become more like nightmares.  Paul
feels distanced from his family, and his dreams of going home are hopeless as he realizes that he
will likely not be able to fit back into the standards of society.  The younger men are much more
disillusioned by what they experience in the war.

In Animal Farm, why is Boxer strong?Anybody Please help!

To find the answer to this question you need go no further
than the first chapter and the part when Boxer and Clover are introduced. This clearly
presents us with a good image of Boxer as a horse and also gives us other details about
his characteristics:

readability="15">

The two cart-horses, Boxer and Clover, came in
together, walking very slowly and setting down their vast hairy hoofs with great care
lest there should be some small animal concealed in the straw... Boxer was an enormous
beast, nearly eighteen hands high, and as strong as any two ordinary horses put
together. A white stripe down his nose gave him a somewhat stupid appearance, and in
fact he was not of first-rate intelligence, but he was universally respected for his
steadiness of character and tremendous powers of
work.

Note how the
description given of Boxer emphasises his strength and size. His hoofs are described as
"vast" and he himself is described as an "enormous beast" and possessing great strength
- in fact double that of most horses. His capabilities of work are likewise described as
"tremendous". Clearly Orwell presents Boxer as a very strong horse who is able to work
incredibly hard. Of course, it is important not to forget his limitation - his lack
of intelligence, which is a key factor that is exploited by the pigs in their tyrannical
rise to power.

Would it eliminate iron triangles if we prohibit agencies from testifying before Congress?AMERICAN GOVENMENT 2

It would do not good to prohibit agencies from testifying
before Congress.  As long as the Congressional committees control the agencies' budgets,
the agencies will have to listen to what they say -- not testifying would make no
difference to that relationship.

One thing I can think of
would be to stop having the most interested committee oversee the agency and its
budget.  In other words, the Ag Committee, made up of farm state members, would need to
stop overseeing the Ag Department.  Then the members of the committee that oversaw the
USDA would not be so interested in trying to control
them.

But this really strikes me as being pretty
antidemocratic -- to prevent the people most affected by agriculture from having control
of the Department of Agriculture.  I think the only real way would be to have
countervailing pressures from other interest groups.  We would have to form interest
groups that were opposed to what the iron triangles
want.

For example, if the agriculture iron triangle wants
wasteful farm subsidies, we would need to have an interest group that would work hard to
lobby against those subsidies.  This would be the only really effective way of breaking
iron triangles -- to have different interest groups lobbying the way that pluralist
political theory says they should.

Why are the organelles in plant and animal cells different? Explain their respective functions.

Organelles are found in
Eukaryotic cells and are tiny structures inside cells that carry out different functions
to insure that homeostasis is maintained. In animals, the
centriole is present and is needed during mitotic division. It gives rise to the
spindle. Plant cells contain chloroplasts with the pigment
chlorophyll, among others. Chlorophyll can absorb the radiant energy from the sun and
with the presence of carbon dioxide and water, photosynthesis can occur. After the steps
of photolysis and carbon fixation, glucose is formed.
Plants can use this glucose as a food and energy source,
and they are producers or autotrophs. Another organelle found in plant
cells but not in animal cells is the non-living cell wall. It is composed
of cellulose, a polysaccharide. The cell wall provides support and a framework as well
as protection to the plant cell. These are the organelles
that differ between plant and animal cells.

In Maurice Kenny's "Legacy", what is the poem about?

The poem asserts its main article of faith—that the
speaker is united with nature and identical with it—through paradoxical and apparently
contradictory statements. Thus the speaker states that he is of course himself, but that
his face is the color of April rain, which would, in fact, make him literally invisible.
The idea here seems to be that he is part of an identity that is greater than he himself
can claim. So also is the idea that his limbs are his own, but they are also the same as
the limbs of birch trees. More notably, in lines 22–34 the speaker emphasizes that his
purpose in life is identical with the purpose of the meadow and the sky. Paradoxically,
they provide purpose for his daily existence, for they have given him birth. Also, it is
to the meadow and sky that he will eventually return.

How was Robert Frost's life reflected in his poetry?What where the personlity traits that where in his life and in his poetry?

Robert Frost’s life was
reflected in his poetry in a variety of ways.  For instance, from an early age, Frost
was raised in New England, and New England, of course, provides the setting and the
characters for many of his poems (such as “Out, Out---,” to mention just one example).
His education at Lawrence High School, where he was a strong student, helped give him
the kind of education and interest in literature that would nourish his later career. 
His first poems were published in Lawrence High’s Bulletin, and he eventually became
editor of that publication.  Thus, his experience at Lawrence helped contribute to his
growing ambitions and self-confidence as a writer.

Frost’s experience
working various low-paying jobs (such as millworker and teacher) helped give him an
intimate familiarity with the lower- and lower-middle-class society which is often the
subject of his poems. His bouts with depression (including a suicide attempt) helped
make him familiar with the darker side of human existence, which is also treated in his
poems.  His own frustrations in love, especially when courting his wife Elinor, helped
provide yet another subject for some of his best-known poems.

In 1897,
Frost was able to begin studying at Harvard, an experience which also helped prepare him
intellectually to become a serious poet.  However, he had to withdraw from Harvard after
two years, and it was now that he decided to become a chicken farmer, thus giving him
familiarity with rural life and with the lives of farmers – two more subjects of some of
his most significant poems.  One notable poem, for instance, is titled “The Pasture.”
Another is called “After Apple-Picking.” Another is titled “The Death of a Hired Man,”
while yet another is called “Mending Wall.”  Perhaps the most famous of these poems with
rural settings and characters is “Stopping By Woods on a Snowy Evening,” in which even
the horse pulling the speaker’s cart or sled has a significant
role:

My
little horse must think it queer
To stop without a farmhouse
near
Between the woods and frozen lake
The darkest evening of the
year.

Eventually Frost was
given a larger farm by his grandfather, and, when his grandfather died, Frost received
enough of an inheritance to allow him to devote more of his time and attention to his
writing. He even combined his interest in writing with his practical duties as a farmer
by contributing articles about chickens to poultry magazines. Later work as a teacher
kept Frost in touch, in a practical way, with the life of the mind, and eventually he
and his family were able to settle for a while in England.

During his
time in London, Frost became familiar with a number of other American writers, including
the highly influential poet Ezra Pound, who championed Frost’s first book. By the time
Frost returned to the United States in early 1915, he had begun to establish a
reputation as one of America’s most promising poets. 

In all the ways
just suggested, then (as well as many more too numerous to mention), Robert Frost’s life
clearly affected Robert Frost’s poetry.

Please write an explication of Basic Training by Sherman PearlI am having trouble with this. Thanks Basic TrainingI’d stand stiff as a rifle...

Sherman Pearl is a former journalist turned poet who has
achieved international acclaim for his work. This poem, "Basic Training," is a simple picture of
military life and structure which becomes much more intimate as the work progresses. All of the
rigors of transforming a man into a soldier are listed here: polishing boots to pass inspection,
making no excuses for anything, standing interminably at attention, doing menial and mindless
tasks, marching and finishing without falling or failing. Each of these tasks are designed to
make the man surrender self in order to become a soldier: 

readability="5">

it was learning to surrender that made me [a]
soldier

This poem is addressed to the
soldier's son, and it becomes personal when he expresses his wish that his son could stand next
to him "on this barren parade ground." Years after his own basic training, the narrator
expresses his longing for that same experience of breaking and building for his son. What
made him a man would do the same for his
son. 



In The Hobbit, after the attack of the spiders, how do the dwarves' attitude toward Bilbo change?

The Chapter you want to look at is Chapter 8 for the answer to
this question. Let us remember that before the battle with the spiders Bilbo Baggins hadn't
really done that much to help the group - he had been perhaps more of a hindrance than a help in
their eyes. Therefore, what he is able to do in terms of freeing all of the dwarves
single-handedly and the way that he is able to show himself a valiant warrior in fighting the
spiders immediately changes their impressions of him. Chapter 8
says:

These questions
they asked over and over again, and it was from little Bilbo they seemed to expect to get the
answers. From which you can see that they had changed their opinion of Mr. Baggins very much, and
had begun to have a great respect for him (as Gandalf had said they would)... They knew only too
well that they would soon all have been dead, if it had not been for the hobbit; and they thanked
him many times. Some of them even got up and bowed right to the ground before him, though they
fell over with the effort, and could not get on their legs again for some
time.

The text goes on to say that
even though they knew about the existence of his magic ring, this did not diminish the new-found
respect they had for Bilbo, because his exploits had shown that he has wits as well as "luck and
a magic ring."

In "Poem to My Daughter in a Red Coat," by Anne Stevenson, what do you think the poet is saying about motherhood in general? Refer to words and...

Interestingly, this short poem sounds to be more like the
capturing of a moment than a note on motherhood in general.  As a result, I think you
could argue that Anne Stevenson means to to speak of motherhood through this poem as a
collection of moments.  In this case, images of Fall are used to show motherhood as
something that is as natural as seasons, grows and changes, and dies too
quickly.

The first two stanzas use images of a common walk
in the park.  The mention of the "light and dark" caused by trees and shadows paints a
clear contrast between the youth of her daughter and the age of the "shriveled women" on
the "cold benches."  There is a feeling that death is nearby.  In the same way that Fall
gives way to Winter, this little girl will eventually grow old, as the speaker herself
and then as the older women onlookers.

The final stanza
seals the comparison of youth and age with the lines "you come so fast" and "you violate
the past."  This little girl is the reminder of youth and, perhaps worse, the quickness
with which life seems to pass.  The speaker has a view of the bigger picture of the
seasons of life.  It seems she is watching her daughter as the little girl she once was
and watching the older women as the woman she will become.  There is a quaint beauty in
the imagery, but a certain sense of sadness in the diction.  Perhaps the resulting
message is that motherhood, in a moment, can bring together all the seasons of life, and
serve as a reminder that it really is far too short.

What is the complex number z=i/(1-i)+i/(1+i)?

To determine the complex number, we'll have to determine
the result of the sum of 2 quotients.

To calculate the sum
of 2 quotients that do not have a common denominator we'll have to calculate the
LCD(least common denominator) of the 2 ratios.

We notice
that LCD = (1+i)(1-i)

We notice also that the product
(1+i)(1-i) is like:

(a-b)(a+b) = a^2 -
b^2

We'll write instead of product the difference of
squares, where a = 1 and b = i.

LCD =
(1+i)(1-i)

LCD = 1^2 -
i^2

We'll write instead of i^2 =
-1

LCD = 1 - (-1)

LCD =
2

Now, we'll multiply the first ratio by (1+i) and the
second ratio by (1-i):

z = i(1+i)/2 + i(1-i)/
2

We'll remove the brackets:

z
= (i + i^2 + i - i^2)/2

We'll eliminate like
terms:

z = 2i/2

We'll
simplify:

z = 
i

The result is a complex
number, whose real part is 0 and imaginary part is
1.

The algebraic form of the complex number
z is z = i.

The polar form of the complex number
is:

z = |z|(cos a + i*sin
a)

We'll calculate the modulus and the argument of
z.

|z| = sqrt(Re(z)^2 +
Im(z)^2)

|z| = sqrt(0^2 +
1^2)

|z| =
1

tan a =
y/x

tan a = 1/0 =
+infinite

a =
pi/2

The polar form of the
complex number is:

z =
(cos pi/2 + i*sin pi/2)

What are the techniques of group decision making?

When a decision is to be made by a group of people rather
than a single individual, there can be differences in the decisions preferred or
supported by individual members of the group. in such situation different approaches may
be used to select a decision from the various alternative decisions supported by
individual members. Some of the most common approaches include decision by majority,
dominant group, and consensus.

Decision by
Majority

In this approach the decision that
is supported by the majority of the group members is accepted as the final decision of
the entire group. In this basic method of decision by majority there can be some
differences in details of how the preferences of individual members are determined and
what constitutes the majority. For example, the members of the group may indicate their
preference by an open or secret vote. Similarly the majority may be simple majority in
which the the decision getting maximum support among the alternative decisions
considered may be accepted. Alternatively there may be a requirement that the decision
must be supported by at least 50 percent, or some other given proportion, of all the
persons voting. Further, there may be a quorum requirement that specifies the minimum
number of members that must participate in the
voting.

Decision by Dominant
Group

In this method of decision making a
dominant person or a group pf persons are able to push through the decision. In reality
this amount to decision by the dominant person or the group, rather than by the complete
group. Decision by dominant group can be achieved using informal power exercised by
individuals, or by some formal power such as veto
power.

Decision by
Consensus

In this method of decision it is required that
all the members of the group discuss the matter under consideration till all the members
agree to a common decision. This approach requires acceptance of group decision by
individual members based on conviction rather than as a compulsion because of results of
voting or domination by a group or an individual. It is assumed that this method results
in better decisions as well as better acceptance and implementation of the decision.
However, reaching of consensus can be a difficult and time consuming
process.

What were the things that the soldiers carried—not weapons and such?

The author (O'Brien) talks about things the soldiers
carried that were not war-related in terms of battle, but things that held a personal
significance or tied them in some way to their habits, etc., of life at
home.

For example, one man carried letters from a girl
friend (they were not romantic letters, but Lt. Cross had hopes that one day they would
be). One man carried a toothbrush and dental floss, and another soldier carried
tranquilizers. Others carried a diary, comic books and a New Testament. Some men carried
insecticide, suntan lotion, Vietnamese-English dictionaries, chess sets, and
basketballs. Many of the men carried photographs of people at
home.

Above all, the men carried heartache and worry, love
for their "people" and hate for the war and all that came with
it.

For the
most part they carried themselves with poise, a kind of dignity. Now and then, however,
there were times of panic, when they squealed or wanted to squeal but
couldn't...Afterward, when the firing ended, they would blink and peek up. They would
touch their bodies, feeling shame, then quickly hiding it. They would force themselves
to stand.

In "The Things They
Carried," O'Brien lists the many military-issued items that all the soldiers carried,
and he lists them: the items sometimes vary depending upon the rank or function of the
soldier carrying them. In the midst of these lists, however, O'Brien also lists the
items that keep the men tied to home, grounded. It is a reminder to the reader, that
although these men are soldiers, they are men first, and members of the military service
second.

I believe O'Brien does this in order to remind the
reader of the reality of war. It is not something that takes place between two faceless
opposing factions in a remote part of the world. The battles involve men (and now women)
who are flesh and blood, with hopes and dreams of lives and futures much the same as our
own. In this, I think he tries to remind us of the enormous sacrifice these individuals
make for their country, and to humanize the individuals so they don't end up being
simply numbers or statistics.

If lnx is the exponent we raise e to--- how is it the area under the curve of 1/x of the formular of lnx = 1/x?

The area under the curve 1/x, is the definite integral of
f(x) - another curve or line and between the limits x = a and x =
b.

Since there are not specified the limits x = a and x =
b, also it is not specified the other curve or line, we'll calculate the indefinite
integral of 1/x and not the area under the curve.

The
indefinite integral of f(x) = 1/x is:

Int f(x) = Int
dx/x

Int dx/x = ln x + C

C -
family of constants.

To understand the family of constants
C, we'll consider the result of the indefinite integral as the function
f(x).

f(x) = ln x + C

We'll
differentiate f(x):

f'(x) = (ln x +
C)'

f'(x) = 1/x + 0

Since C
is a constant, the derivative of a constant is
cancelling.

So, C could be any constant, for
differentiating f(x), the constant will be zero.

Now, we'll
calculate the area located between the curve 1/x, x axis, x=a and
x=b:

Integral [f(x) - ox]dx, x = a to x =
b

Int f(x) dx = F(b) - F(a), using Leibniz-Newton
formula

Int dx/x = ln b - ln
a

Since the logarithms have matching bases, we'll transform
the difference into a product:

Int dx/x = ln
|b/a|

The area located between the curve 1/x,
x axis, x=a and x=b
is:

Int dx/x = ln
|b/a|

In chapter 10 of To Kill a Mockingbird, Why didn't Atticus tell his kids that he was once the best shot in the country"one-shot Finch"?

Before this event, Jem and Scout looked at their father as
loving and intelligent, but weak. After learning that he has this skill, they no longer
think so. Scout wants to tell others about her father being the best shot in Maycomb,
but Jem won’t let her because, in his maturity, he understands why Atticus has hidden
this talent from the children. Atticus is not the kind of person who would be proud of
an ability which is even potentially violent
(shooting).

Atticus is not one to flaunt his abilities. It
is in his nature and his philosophy that violence is always a last resort. So, as part
of his living example to his children, he would only use a gun in extreme situations,
such as this one with the rabid dog. Atticus could easily show off his talents
(shooting, checkers and so on) but another lesson he teaches the children, central to
the trial, is that one should not do things just to please the majority or simply to
brag that he is better than other people. One should not conform just to gain
acceptance.  He does what he has to – when he has to do it. Bragging (or even showing
modest pride) about a talent, especially one which inflicts violence, is completely
antithetical to Atticus’ own philosophy and the lessons he wants to teach to his
children.

Which of the two following sentences correctly uses "ours"? Is it correct to write, "Why fight a war that isn't ours?" or "Why fight a war that...

The href="http://alt-usage-english.org/excerpts/fxwheret.html">personal possesives
pronouns our and ours--the
possessive form variations of the personal plural pronoun we--never
use an apostrophe to indicate possessiveness. The reason is because of the word class
they belong to. The word class they belong to is that of personal
possessive pronouns. No personal possessive pronoun in English takes an
apostrophe to indicate its possessiveness. This is because the entire word is the
possessive form. There is no instance in which the word our or
ours is not a possessive. Since this is true, there is no need for
the redundancy of the possessive indicator 's. Other personal
possessive pronouns are his, its, whose, their, hers, ours,
yours, theirs. None of these personal possessive pronouns take
the possessive marker 's, because each entire word is the
possessive form and never used in any other
way.

Additionally, when personal pronouns are
written with apostrophes, they are
contractions of the pronoun plus a to
be or a to have word: it's (it +
is; it + has, as in it has got: it's got),
they're (they + are), who's (who + is; who +
has as in who has got: who's got).

In
contrast, indefinite href="http://www.english-grammar-revolution.com/list-of-pronouns.html">pronouns
like anybody, somebody, anyone, everybody, everyone, nobody, no one, one,
someone, do require the possessive marker to make them possessive. These
words are not personal possessive pronouns; they are indefinite pronouns for plural or
singular entities. To indicate possession associated with this class of word, the
possessive marker is required: anybody's, somebody's, anyone's, everybody's,
everyone's, nobody's, no one's, one's, someone's.

Discuss the importance and influence of the supernatural in Macbeth?

Without the supernatural elements, the weird sister aka
witches, the play would definitely not have the same
punch.

The play begins with thunder, lightening and the
three witches.  It may be a cliche but thunder and lightening do create a threatening
atmosphere and add witches and the atmosphere becomes evil.  We first hear of the title
character from these women and they also introduce the idea of "nothing is but what is
not".

When they greet Macbeth and Banquo, they plant the
seed in his mind.  At that time, he is already the Thane of Glamis.  He knows nothing
about the traitor, the Thane of Cawdor.  And to be king, well deep down, Macbeth does
desire to be king.

Once the witches have planted the seed,
it doesn't take much to make it grow.  When the second statement becomes true when he is
awarded with being named the new Thane of Cawdor,  the planted seed grows
stronger.

Once Duncan has been murdered, other strange or
perhaps supernatural things happen, perhaps the strangest was the report of Duncan's
horses going mad and eating each other.  This is definitely not natural.  It was
believed that the murder of a king threw the universe out of balance.  This balance
could only be restored when the murderer is dead and the rightful king is on the
throne.

When Macbeth needed information about the future,
since he was still uneasy about the prediction for Banquo and he was proving to be an
unpopular king, he sought out the witches.

Of course we
know but Macbeth doesn't that Hecate has decided that Macbeth must pay for interfering
with the future when he murdered Banquo and tried to murder Fleance.  She instructs the
witches to give Macbeth answers that will build his confidence before they destroy
him.

The plan works perfectly.  Even when the forest comes
up to the castle, Macbeth still clings to the fact that he cannot be killed by any man
born of woman.  He isn't, since, " Macduff was from his mother's womb untimely
ripped."

Macbeth gained his power with help from the
supernatural and it destroyed him.

During Shakespeare's
time, a belief in the supernatural was common.  Witches and ghosts were feared since
they came from the devil.  Shakespeare tapped into this belief in
Macbeth and many of his plays.  Also, King James I himself had
written a book about witchcraft and was extremely interested in the
subject.

Given f(x)=1/x^2, prove that 1/(k+1)

We'll apply Lagrange's rule over the closed interval [k ; k+1],
for the function f(x) = 1/x^2.

f(k+1) - f(k) = f'(c)(k+1 -
k)

f(k+1) - f(k) = -2/x^3

c belongs to
[k ; k+1] <=> k < c < k+1

1/k >
1/c > 1/(k+1)

We'll raise to
square:

1/k^2 > 1/c^2 >
1/(k+1)^2

-2/k^3 < -2/c^3 <
-2/(k+1)^3

But -2/c^3 = f(k+1) -
f(k)

-2/k^3 <f(k+1) -
f(k)<-2/(k+1)^3

According to Lagrange's rule,
the inequality 1/(k+1)<f(k+1)-f(k)<1/k is not true, instead, the inequality -2/k^3
<f(k+1) - f(k)<-2/(k+1)^3 is true, over the interval [k ;
k+1].

What is the significance of the quotation in chapter 7 at the beginning of the chapter in The Secret Life of Bees?

The quote at he beginning of Chapter 7 in the book
The Secret Life of Bees addresses the bees having an understanding
of sex while having lived celebrate lives like a nun in a
cloister. 

The quote relates to Lily's emergence of
feelings that she begins to experience when she works more with Zack.  He is a colored
boy and she is a white girl.  Yet, Lily begins to find herself drawn to him.  She laughs
and talks with him.  They share an interest of music an youthful
things. 

Everyday Lily works side by side with Zack and
they share communication and laughter.   She believes in Zach and his future.  He tells
Lily that he will not have much of one because he is a
negro. 

One day Lily gets her first innocent kiss from
Zach.  She is learning about the birds and the bees.

In the
meantime June is also having her feelings of love for Neil.  They hang out on the couch
and watch TV together.  Yet, when Neil keeps trying to get her to marry him she
refuses. 

3 l x-2 l + 7 = 12 solve for x .

To solve 3|x-2|+7 = 12.

|x-2|
is the positive of the expression (x-2).

So  |x-2| = x-2
when x> 2. And  |x-2| = 2-x , when x <
0.

Therefore when x > 2, the given equation
is:

3(x-2)+7 = 12.

3(x-2) =
12-7 = 5.

x-2 = 5/3.

x = 2+5/3
= 11/3.

When x < 2, the given equation  could be
written as:

3(2-x)+7 = 12.

6
-3x +7 = 12

-3x+13 = 12.

-3x =
12-13 = -1.

x = -1/-3 =
1/3.

x= 1/3.

Therefore from
the cases , the solution we get : x= 11/3 or x= 1/3.

Why are wires made cylindrical and not any other shape?

Thank you for asking such an interesting
question!

The answer is that wires can technically be made
into square or triangle shapes or whatever you want, they just don't tend to be.  First,
let's look at how wires are made:

Basically, if you want to
make a wire, you take metal and draw it through a mold that has a hole in it.  You might
do this several times to get the gauge of wire that you want, but you can technically
make the mold any shape that you want.  The thing is that you have to remember that most
types of wires fill a specific purpose.  For example, wire is commonly made for
necklaces and is more comfortable than square wire would be (because of the edges) on
the skin.  Wire for dental braces is the same way.

If you
are talking more about electrical wiring, I can think of two reasons.  First, a lot of
electrical wiring is not a solid piece of metal but is really made up of many, many tiny
threads of wire twisted together.  This makes the wires more flexible, and round wires
are better for this purpose because they will fit more closely together (unless somebody
takes the time to stack each square wire properly against each-other.)  Secondly, when a
wire is threaded through wood or a hole in the wall the hole has usually been made by a
drill with a round bit.  The wire will go much more easily through a hole in the wall
that is round if it is indeed round as well.  Just think of that goofy toy we used to
play with as babies with the round holes and the square
pegs.

Hope this helped!

In the first three chapters of Lord of the Flies, what are the differences between Piggy and Ralph other than the physical ones?

Lord of the Flies is a symbolic
novel, and each of the main characters represent aspects of human nature.  The first two
characters we meet in the story are Ralph and Piggy and, as your questions suggests,
they could not be any more different.  In addition to their physical differences, these
two boys are unlike one another in nearly every other
way.

Ralph is symbolic of the physical, which is why he's
interested in the physical aspects of being on the island--swimming, blowing on the
conch, doing handstands, exploring the island, building huts, keeping the fire going,
and more.  Piggy, on the other hand, represents the intellect, as do his
activities--listing, asking, organizing, planning, thinking.  They are not, for now,
working particularly well together.  Soon, though, these two and Simon will represent
the non-hunters and the less savage aspects of human nature.

Is anything personifed in Thomas Randolph's "A Song"?

Thomas Randolph's poem entitled "The Song" concentrates a
great deal on nature.

Personification is giving human
characteristics to non-human things.

There are several
examples of personification in the poem. The first thing
that is personified is Music, called "thou queen of souls," which the speaker encourages
to "get up and string Thy powerful lute, and some sad requiem
sing..."

There are other things personified as well. They
are:

"the
pine to dance, the oak his roots forgo

The holm and aged
elm to foot it too;

Myrtles shall caper, lofty cedars
run,

and call the courtly palm to make up
one.

The sense is that
different parts of the forest, particularly trees of various kinds, dance to the sound
of music, and then, upon hearing a sad note, become trees, fixed in place and
unmoving.

For your reference, "caper" means to skip or
dance about; "foot it," I believe, would mean to tap in time to the music, or to
dance.

What are the speaker's beliefs in "On Another's Sorrow"?

The speaker believes in the fulfillment of the Beatitudes
(Matthew 5:3-11), particularly the first three, which are concerned with the poor in
spirit, those that mourn, and the meek. Convinced of divine authority for economic and
social justice, the speaker asserts (stanzas 4–6) that God, who “smiles on all” (line
13), shares the same pity with caring human beings. In stanza 7 the speaker expresses
the idea that through becoming “an infant small,” God has shared the woe of human
beings, and continues to feel their sorrow. Therefore, the speaker expresses confidence,
in line 25, that God, the maker, is nearby when people weep and sigh, for He “doth sit
by us and moan” with us, and will continue to do so until “our grief is fled &
gone.” In short, the speaker’s view of humanity and of the involvement of God in human
life confirm the idea that he firmly believes in God’s
benevolence.

What famous site does Daisy Miller wish to see in the moonlight in "Daisy Miller" by Henry James?

The answer to this question can be found towards the beginning
of the book as Winterbourne first gets to know the intriguing character of Daisy Miller. From
where they are, they can clearly see the "far-gleaming walls of the Chateau of Chillon," which
were made famous by the poet Lord Byron, and Daisy Miller expresses her desire to see it to
Winterbourne:

"I want
to go there dreadfully. Of course I mean to go there. I wouldn't go away from here without having
seen that old castle."

As Daisy
explains, they had planned to go the previous week, but her mother's illness prevented them. This
of course gives Winterbourne the precise opportunity he has been looking for to get to know Daisy
Miller better by offering to take her himself and give her a special guided
tour.

In Cry, The Beloved Country, what does Kumalo plan to do with Gertrude and her young son?

Kumalo is reunited with his sister, Gertrude, and her son,
in Chapter 6 of this novel that is focussed on pre-apartheid South Africa. When he comes
to where Gertrude is working, it is clear that she is living as a prostitute and her son
is uncared for and left to fend for himself. Stephen Kumalo is very harsh with his
sister and says that she has shamed him and their family. However, he also states his
intention of taking her and her son back to Ndotsheni to rejoin the tribe and the land
that is theirs. Note what he says to Gertrude about taking her son back to the
village:

It
will be better for the child, he said. He will go to a place where the wind blows, and
where there is a school for
him.

Note how this ties in
with a much larger theme in the novel - Kumalo's attempts to go against the tide of what
is happening in South Africa and his desire to rebuild the tribe. Consider how this
chapter ends:

readability="9">

Kumalo himself was light-hearted and gay like a
boy, more so than he had been for years. One day in Johannesburg, and already the tribe
was being rebuilt, the house and the soul
restored.

Of course, as
Stephen and the reader comes to discover, this is false optimism. The difficulties
facing the rebuilding of the tribe are illustrated by Absalom's murder and Gertrude's
escape and return to a life of prostitution. Kumalo has much to learn about the
difficulties facing his people in this new and dangerous South
Africa.

In "Nature," in what ways does Ralph Waldo Emerson show idealism in the work?

Essentially, the Transcendental concept itself is
idealistic as it is based upon the premise that all people will be exhilarated by
nature's beauty and tranquility and find a relation with themselves and the universe. 
In addition, Emerson shared with the German idealists a consideration of the use of
nature at a higher level from language and discipline, considering two kinds of
cognitive faculties:  reason, which perceives the analogy that unites matter and
man, and understanding, which discerns the characteristics of
things.

The great influence that nature plays in his
thought leads Emerson to a discussion in Chapter Six of Nature.
Entitled "Idealism," this chapter contains first Emerson's admission that
whether nature exists or is simply a reflection of one's mind.  But, idealistically, he
goes on to state that senses tend to make one believe in the absolute existence of
nature, whereas the better faculty of reason modifies this belief.  Ending his chapter
with the superiority of the soul, Emerson maintains his idealistic view of nature's
function of leading people back to the Universal
Spirit: 

In
the presence of nature, a wild delight runs through the man, in spite of real sorrows. 
Nature says--he is my creature, and maugre all his impertinent griefs, he shall be
glad....The currents of the Universal Being circulate through me; I am part or particle
of God....Nature always wears the colors of the
spirit.

In Night, describe the exchange of possessions between father and son when it appears that the elder Wiesel has been selected for death.

When it appears that Elie's father has been selected for death,
he is eager to rush over to Elie and give him what Elie ironically and with great sadness called
"My inheritance." Even though this was just an initial selection, his father does not want to
waste time just in case he is chosen for death and therefore will never see his son again. He
gives what he has to his son in the hope that these gifts will help him in his future and to
stave of death:

"Here,
take this knife," he said. "I won't need it anymore. You may find it useful. Also take this
spoon. Don't sell it. Quickly! Go ahead, take what I'm giving
you!"

Note how the situation of their
lives makes these normal objects precious gifts. When Elie returns from the day's work, he is
delighted to find his father still alive, and Elie says: "He had still proved his usefulness."
This statement highlights the reductionist view on human life - you could only live if you had a
practical use. Elie is able to return the "gifts" to his father.

In Act 4, Scene 1 of Macbeth, what does " sow's blood that hath eaten her nine farrow" mean?I need to draw whatever this quote means.

What I would like to add to the previous answer is that
the line referred to in your question alludes to Lady Macbeth in a curious way. A female
pig that has devoured her nine babies must be a very unnaturally cruel mother reminding
us of Lady Macbeth's words in act 1 scene 7:

readability="17">

I have given suck, and
know

How tender 'tis to love the babe that milks
me:

I would, while it was smiling in my
face,

Have pluck'd my nipple from his boneless
gums'

And dash'd the brains out, had I so sworn as
you

Have done to
this.

The strained violence
of Lady Macbeth's language here is intended to show her fiendishness as a mother. The
mother-pig in the reference cited by you may be taken as an animalish version of that
fiendish mother. The grease collected from the hangman's rope which is the other
component required to invoke the apparitions is an underhand reference to Macbeth while
the sow's blood refers to his accomplice in crime.

In a hundred words or fewer, what is your personal opinion after reading Francis Bacon's essay "Of Studies."

For a number of reasons, this is a difficult question to
answer. For one thing, it is unclear what the “opinion” is supposed to be about?  Is it
supposed to be about Bacon’s essay “Of Studies”? Or is it supposed
to be about the topic of “study” in and of itself?  Finally, since you are supposed to
express you own personal opinion, no one attempting to answer this question can do that
for you.

If you are responding to “Of Studies” itself, you
might consider such issues as the following:

• How
  is the essay effectively written? For example, how and why is the opening sentence
  effective?


• How does Bacon implicitly present
  himself in this essay?  Why should you believe him or find him a
  trustworthy advisor?


• What kinds of evidence does he
  present in order to support his arguments? What kinds of sources does he draw
  on?


• How is the essay organized? Does its organization
  have any effect on its success?


• Is the style of the essay
  accessible?  In other words, can you easily understand what the essay is
  saying?


• If you had to paraphrase the essay (that is,
  rewrite it in your own words), what would you write? What features of the essay might
  make the essay difficult to paraphrase?


• What kind of
  studying does Bacon himself seem to have done? What is the evidence for such
  studying?


• What, in Bacon’s opinion, is the ultimate
  purpose of studying?


• What does Bacon mean, exactly, when
  he makes the following concluding
  statement?:

readability="6">

So every defect of the mind, may have a special
receipt.

If you are
responding to the topic of “studying” in its own right (or in response to Bacon), here
are some issues you might consider:

• How do your
  own views of studying resemble Bacon’s?


• How do your own
  views of studying differ from Bacon’s?


• How would you
  justify any differences between your views and his?


• Are
  Bacon’s ideas still relevant, or are they relics of an earlier
  time?


• How have methods of study changed since Bacon’s
  time?  What resources are available to us that were not available to him? How is
  studying easier today than it was in the seventeenth century?
  


• What, in your opinion, is the ultimate purpose of
  studying?


• Do you think that there are different ways of
  studying and that these different ways can be equally
  effective?


• What are some problems with the ways we study
  today?


• How can present-day studying be
  improved?


• Do you agree or disagree (and why) with the
  following famous statement from the
  essay?:

readability="7">

Some books are to be tasted, others to be
swallowed, and some few to be chewed and digested . . .
.

How do the three storylines in Act 3 complicate the main conflict of The Tempest?

In The Tempest, the main conflict
revolves around Prospero's desire to enact revenge upon Antonio, Sebastian, and Alonso. 
Prospero has set up his plan to have Ariel create a storm that grounds Alonso's ship;
however, when the men and their crew are on the island, several other events come to
play.  Prospero's plans are complicated by the fact that his daughter Miranda has fallen
in love with Alonso's son Ferdinand.  Also, Caliban has taken up with Trinculo and
Stephano and the trio are plotting to usurp Prospero.  Prospero must now consider how he
is going to reconcile Miranda's love for Ferdinand without compromising his own desires;
similarly, he must decide how to handle Caliban--should he continue to try to civilize
him or leave him to the magic of the island?  Prospero's main conflict is more in line
with tragedy; however, the other story lines have comic elements which complicate the
play.

In Macbeth, what two main faults does Malcolm pretend he has when he's talking to Macduff?

The scene you are referring to is when Macduff comes to Malcolm
to enlist his help to overthrow Macbeth from the throne. Malcolm is wary of Macduff's true
intentions and therefore tests him by pretending to have too many vices to be of anyhelp to
Macduff.

Check out Act 4 scene 3, and notice how Macduff says he has
"vices" too. Under this section, his two main vices
are:

Lust - he argues that his lust
could not be quenched by all of Macduff's wives, daughters and old women and young women. He
would go to any lengths to try to satisfy this
lust.

Greed - Malcolm notes that he
would kill the landowners under him in order to get their homes and
wealth.

He then lists qualities a king should hold and argues that
he does not possess any of them. These include "justice, verity, temperance, stableness, bounty,
perseverance, mercy, lowliness, devotion, patience, courage, fortitude"
(4.3.94-96).

What were some of the major technological advances in agriculture that promoted the development of the western economy?1860-1900

There were a number of technological advances in agriculture
after the Civil War that helped the economy of the western United States to
develop.

I would say that one of these would be the invention of
barbed wire.  This allowed farmers to keep cattle from destroying their
crops.

I would also point to the invention of various new kinds of
plows.  These started with John Deere's steel-faced plow and moldboard and went from there. 
There were also improvements made in hay mowers, reapers, manure spreaders, planters, and other
kinds of farm equipment.

You also have to think of the railroads as
a technological advance, I think.  It was the spread of the railroads that really made the
western economy viable.

Please compare the events that take place in Stave Two, in the warehouse, to the events of Stave One, in Scrooge's counting-house.Second scene...

First, let's begin with opening description of Scrooge as
he is in Stave One:

readability="15.531135531136">

Oh! but he was a tight-fisted hand
at the grindstone, Scrooge! a squeezing, wrenching, grasping, scraping, clutching, href="../../christmas-carol-text/stave-one-marleys-ghost#prestwick-vocab-chr-9">covetous
old sinner! Hard and sharp as flint, from which no steel had ever struck out generous
fire; secret, and self-contained, and solitary as an
oyster.

So, before we see the
young man he was, as shown to him by the Ghost of Christmas Past in Stave Two, we see
the shrivelled, "tight-fisted," miser that he has grown to be.  In his counting house,
he does not let Cratchitt add coal to the fire, spurns his nephew's invitation to join
him on Christmas day, refuses to give some of his great wealth to charity to help the
poor.  He says:

readability="8">

Are there no prisons?. . .And the workhouses?. .
.Are they still in operation?. . .I don't make merry myself at Christmas, and I can't
afford to make idle people merry. I help to support the establishments I have mentioned:
they cost enough: and those who are badly off must go
there.

And he ends the scene
begrudgingly allowing his employee to take Christmas day off, telling him to be in "all
the earlier the next morning."

This is in huge contrast to
Fezziwig's warehouse in Stave Two.  Fezziwig himself is jolly and approachable, and
Scrooge and his companion Dick work happily for him.  In contrast, to Scrooge's cold,
miserable counting house, here is how Dickens describes the
warehouse:

readability="20">

[T]he floor was swept and watered, the lamps
were trimmed, fuel was heaped upon the fire; and the warehouse was. . .snug, and warm,
and dry.

There were. . .dances, and there were forfeits,
and more dances, and there was cake. . .and there was a great piece of Cold Roast, and
there was a great piece of Cold Boiled, and there were mince-pies, and plenty of
beer.

In short, Fezziwig is
throwing an all-out "office" Christmas party, with Scrooge out amongst the crowd, making
merry, dancing, eating and drinking with his fellows.  Quite the contrast to the sort of
employer that Scrooge has proved to be in his later years at his own counting
house.

The Ghost and Scrooge then discuss the sort of
employer that Fezziwig was:

readability="18">

“A small matter,” said the Ghost, “to make these
silly folks so full of gratitude.”

“Small!” echoed
Scrooge.. . .

“Why! Is it not? He has spent but a few
pounds of your mortal money: three or four perhaps. Is that so much that he deserves
this praise?”

“It isn't that, Spirit. He has the power to
render us happy or unhappy; to make our service light or burdensome; a pleasure or a
toil. Say that his power lies in words and looks; in things so slight and insignificant
that it is impossible to add and count ’em up: what then? The happiness he gives is
quite as great as if it cost a
fortune.”

And with these
words, Scrooge has made his first step towards transformation.  He realizes, in
comparing himself to Fezziwig, that he isn't the sort of employer he would like to be at
all!

In Of Mice and Men, why does George say he will go and get a drink but that he isn't going to pay for a flop?

  What George actually says is
this:

"Me an' Lennie's
rollin' up a stake... I might go an' set and have a shot, but I ain't puttin' out no two and a
half."

The reader can infer several
things from this comment. First of all, this makes us believe that George sees putting out money
to be with a girl as wasteful. Secondly, we see that George has a higher purpose that he believes
in. Many of these guys are only living in the moment. They make their money in one week and go
blow it the next week. Not George, his plan is to work together with Lennie and get their own
little ranch. This shows frugality on George's part. It is a strong character trait. So, having a
drink, that doesn't really cost much and it was a nice way to reward a week's work, but to spend
money on the chance to be with a woman would be frivolous.

We want to construct a sign in the shape of the right triangle.If the longer leg of the sign is two inches more than the shorter leg and the...

We'll note the shorter leg, namely one cathetus, as
x.

The longer cathetus is x +
2.

The hypotenuse is 2x -
2.

Now, we'll apply the relation that puts together all the
sides of a right angled triangle, the Pythagorean
theorem:

hypotenuse^2 = shorter cathetus^2 + longer
cathetus^2

We'll substitute the hypotenuse and the cathetus
by the relations above:

(2x-2)^2 = x^2 +
(x+2)^2

We'll expand the squares from both sides and we'll
get:

4x^2 - 8x + 4 = x^2 + x^2 + 4x +
4

We'll eliminate and combine like
terms:

4x^2 - 8x = 2x^2 +
4x

We'll subtract 2x^2 + 4x both
sides:

4x^2 - 8x - 2x^2 - 4x =
0

We'll combine like
terms:

2x^2 - 12x = 0

We'll
divide by 2:

x^2 - 6x =
0

We'll factorize by x:

x(x-6)
= 0

x1 = 0

x-6 =
0

x2 = 6

Since the measure of
a cathetus cannot be zero, we'll reject the first solution and we'll keep the second
one.

So, the shorter leg of the sign has the
measure of 6 inches, the longer leg has the measure of 8 inches and the hypotenuse has
the measure of 10 inches.

Can you please help me analysis this. Lady Macbeth: The Thane of Fife had a wife. Where is she now? What, will these hands ne'er be clean? No...

At this point in the play, Lady Macbeth is not in her
right mind.  The doctor has already told Macbeth that he can't cure what is wrong with
her.

The Thane of Fife was Lady Macduff.  Macbeth had her
and her children murdered.  Lady Macbeth imagines that she sees the blood of Duncan (and
Macbeth's other victims) on her hands.  If you remember, she returned the bloody daggers
after Macbeth killed Duncan and by mistake did not leave them with the drugged grooms. 
It was necessary for her to literally get the blood on her hands.  Her guilt drives her
insane and she sees the evidence of her guilt, the blood, on her hands.  It is not
literal blood at this point.  The blood becomes metaphorical, a symbol of her guilt. 
Since she planned Duncan's murder and pushed him to do it, she is just as guilty as
Macbeth of the bloodbath that followed.

Her guilt
eventually drove her to commit suicide.

"Willy's falshbacks in Death of a Salesman serve as an escape mechanism. He uses these to cope with his sons' failure." Discuss.

I agree fully with this statement, except for one important
omission. This is that flashbacks are used as an escape mechanism, but they are equally, if not
more, used as an escape mechanism for Willy to escape his own failure as well as the failure of
his sons. Of course, the two are very closely intertwined, as part of the failure of the sons is
the way that they have been brought up by Willy. This theme is of course highlighted with
Bernard's success as a lawyer compared to Bif and Happy's lives and what they have
achieved.

However, you are right to indicate that Biff and Happy
trigger off these flashbacks, and increasingly Willy finds comfort in dwelling in the flashbacks
which he seems to have no control over. Let us examine the first flashback in the play. Willy and
Linda are discussing the boys' plans to move to Texas, and as a result Willy goes back in time to
when the boys were young and the future looked promising. He finds security in the boys'
eagerness to believe the words of their father, whom they adore. Note what Willy tells
them:

Tell you a
secret, boys. Don't breathe it to a soul. Someday I'll have my own business, and I'll never have
to leave home anymore.

Note Willy's
dreams are always put off or planned for some unspecified time in the future. His inaction is
obvious, but crucially, retreating to the safety of flashbacks in the past allows him to briefly
ignore the fact that he has never achieved what he set himself to achieve. Likewise, going back
to the past reminds him of all the promise that the boys had and detracts from the failure that
they have made of their lives.

Please factor this trinomial: 12x²-18x-21

To factor the trinomial, we'll consider the
equation:

12x^2 - 18x - 21 = 0

We'll
divide by 3 the trinomial:

4x^2 - 6x - 7 =
0

To write the quadratic as a product of linear factors, we'll have
to determine the roots of the quadratic.

We'll apply the quadratic
formula:

x1= [-b+sqrt(b^2 -
4ac)]/2a

a,b,c, are the coefficients of the
quadratic:

x1 = [6+sqrt(36 + 112)]/8

x1
= (6+sqrt148)/8

x1 = (6+2sqrt37)/8

x1 =
(3+sqrt37)/4

x2 = (3-sqrt37)/4

We'll
write the quadratic as a product of linear
factors:

12x^2 - 18x - 21 =
3([x-(3+sqrt37)/4]*[x-(3-sqrt37)/4]

In Animal Farm, what advantages are there for the animals in running their own farm?

We are given the answer to this question in Chapter 2 of
this great novel. After the initial enthusiasm of having carried out the revolution
successfully, the animals at first experience many benefits to running their own farm.
Note how Orwell describes that first harvest:

readability="13">

All through the summer the work of the farm went
like clockwork. The animals were happy as they had never conceived it possible to be.
Every mouthful of food was an acute positive pleasure, now that it was truly their own
food, produced by themselves and for themselves, not doled out to them by a grudging
master. With the worthless parasitical human beings gone, there was more for everyone to
eat. There was more leisure too, inexperienced though the animals
were.

Note then how well
initially things work out, especially the satisfaction with which the animals ate their
own food that they had produced. Also note how everyone
worked:

But
everyone worked according to his capacity... Nobody stole, nobody grumbled over his
rations, the quarrelling and biting and jealousy which had been normal features of life
in the old days had almost disappeared. Nobody
shirked...

This attitude is
epitomised by Boxer, whose motto, "Must work harder!", seems to help unite the animals
in a common purpose as they all work together to run the farm and get in the harvest. Of
course, things do not stay like this...

What is x if cos t = 3/x and sint = 4/x ?

We'll impose the conditions of existence of the
trigonometric functions sine and cosine:

-1=< sin(t)
=<1

sin(t) =
4/x 

-1=<
4/x =<1

We'll multiply both sides by
x:

-x=< 4 =<
x

-1=< cos(t)
=<1

cos(t) =
3/x

-1=< cos(t)
=<1

-1=< 3/x
=<1

We'll multiply both sides by
x:

-x=< 3 =<
x

From both inequalities, we'll get the interval for
adissible value for x: [4 ; +infinite)

Now, we'll solve the
equtaion, applying the fundamental formula of
trigonomtery:

[sin(t)]^2 + [cos(t)]^2 
=1

(9+16)/x^2  = 1

We'll
multiply both sides by x^2:

25 =
x^2

We'll apply square root both
sides:

x =
5

x =
-5

Since just 5 is in the
interval of admissible values, we'll reject the negative value x = -5. So, the only
solution is x = 5.

Solve for y 11 sin^2y=13-sin^2y where 0

The first step is to isolate (sin y)^2 to the left side. For
this reason, we'll add (sin y)^2 both sides:

11 (sin y)^2 + (sin
y)^2 = 13

12 (sin y)^2 =13

We'll divide
by 12:

(sin y)^2 = 13/12

sin y = sqrt
(13/12)

But sqrt (13/12)>1 and -sqrt (13/12) < -1,
which is impossible because the limit values of the sine function are -1 and
1.

So, there are no angles to satisfy the given
equation, or, more precise, the equation has no solution.

In the following poem, what literay devices and what are they good for in the poem?Bombed Last NightGassed last night and gassed the night...

When you are looking for literary devices used in a poem,
just noticing them is step one, but connecting them to the meaning or theme of the poem
is what is really important.  First you have think about what the poem is about:  four
guys in a trench being bombed during a war. 

Some devices
to notice:

1.  Repetition of "going to get gassed" and
"going to get bombed"  The repetition reinforces the terror of this experience.  There
is no escaping the weapons.

2.  Repetition of "They're
warning us" and "They're over us" has a similar affect as the above note.  You have to
be careful to think about pronoun reference here -- who is "they" in each of the
stanzas?  How is the enemy warning these soldiers? 

3.  The
strong rhyme and meter make the poem rather "sing-song" which serves as irony in light
of the seriousness of the situation, and therefore serves to actually reinforce the how
awful this is.

4.  The poet's choice of a first person
speaker is important too.  It makes the experience personal, as does the
casual/conversational language, such as the slangy, "'Cos" and  the cliche, "Thank your
lucky stars."  The personal tone also helps to connect the reader to the speaker of the
poem -- perhaps most people would be thinking and feeling the same way in a trench under
fire.

Below are some links to a couple of sites that have
information on other literary devices and techniques.  You could review these sites, or
any other, and look again at your poem for other choices that the poet made in the
creation of this poem.

I am writing a character sketch about Jem. Do you know of good quotes to include that reveal his character? Focus on chapters 2 and 3

Being older than Scout, Jem tries to explain many things
to Scout including the Dewey Decimal System and entailments. He doesn't report them
correctly which reveals his immaturity:

readability="8">

When I asked Jem what entailment was, and Jem
described it as a condition of having your tail in a crack, I asked Atticus if Mr.
Cunningham would ever pay
us.

Jem is turning into a
sort of parent to Scout as most older siblings do. He is learning to help dictate
appropriate behavior which he does in the case of Walter Cunningham's altercation with
Scout:

I
stomped at him to chase him away, but Jem put out his hand and stopped me. He examined
Walter with an air of speculation. “Your daddy Mr. Walter Cunningham from Old
Sarum?”

Jem is growing
increasingly boastful and seemingly brave:

readability="8">

Jem seemed to have little fear of Boo Radley now
that Walter and I walked beside him. Indeed, Jem grew boastful: “I went all the way up
to the house once,” he said to
Walter.

Jem is a young man
bent on learning by experience, he is also an inquisitive mind that will spend time on
his own just thinking:

readability="15">

Atticus kept us in fits that evening, gravely
reading columns of print about a man who sat on a flagpole for no discernible reason,
which was reason enough for Jem to spend the following Saturday aloft in the treehouse.
Jem sat from after breakfast until sunset and would have remained overnight had not
Atticus severed his supply lines. I had spent most of the day climbing up and down,
running errands for him, providing him with literature, nourishment and water, and was
carrying him blankets for the night when Atticus said if I paid no attention to him, Jem
would come down. Atticus was
right.

Jem is a growing young
man with lots of room to go. But he certainly approaches his world and relationship with
Scout from the perspective that he's working on doing right and thinking about how
things should be done.

What point is Thoreau making by telling us that he got his shoes fixed and led the huckleberry party on the day he was released? This is from...

One of the major points that Thoreau is trying to make in
this essay is that government (the State) is not a good thing.  It is best to have a
government that does not interfere in the lives of the people any more than is
absolutely necessary.  Thoreau goes so far as to say that the best government would not
govern at all.  This is the point he is trying to make in the passage that you
mention.

After being let out of jail, Thoreau wants to get
away from the government.  He wants to go out and live his life without government
interference.  He emphasizes this by telling us what he did after being released. 
Basically, he went about his previous errands as if the state did not exist.  He went
and got the shoes that were being mended.  Then he went out with the berry pickers and
went off to a hill two miles away where "the State was nowhere to be
seen."

By telling us this, Thoreau is showing that the
state is not, or should not be, relevant.  He is showing that he can get away from the
state completely and that this is what he wants to do in his
life.

How do you find the interval of decrease and increase of a sin function? Given this function f(x) = sin2x-90degrees What is the interval of...

f(x)=sin2x -90

The function
f(x) is incresing when f'(x) is >0.

f'(x) = (sin2x
-90)' = 2cos2x

2co2x > 0 implies cos2x >
0

Cos2x > 0 when  2npi-pi/2 < 2x <
2npi-pi.

Cos2x > 0 when  -pi/4 < x
<pi/4. That is when x is in (npi/2-pi/4 , npi/2+pi/4),  n =
0,1,2,..

Therefore sin2x - 90 is increasing in (npi-pi/4
,npi+ pi/4).

 Or

When x  is  
in the interval (180n-45 deg ,180n+45 deg ) for n
=0,1,2,....

Sin2x -90 is decreasing  when (sin2x-90)'
< 0. Or

2cos2x < 0 or cos2x <
0.

cos2x < 0 when 2npi+ pi/2 < 2x <
2npi+3pi/2.

Or

npi+Pi/4
< x < npi+3pi/4 is  same as when x is in (180n+45deg to 135 deg.), n
=0,1,2,3....

Therefore sin2x-90 is decreasing in (180n+45
deg , 180n+135deg), for n = 0,1,2,3....

What were the effects of the Boston Tea Party?

Expanding on the previous answer, remember that the Boston Tea
Party was carried out by a handful of people, members of the radical Sons of Liberty, which most
people in Boston disagreed with or at least dismissed.  But instead of pursuing and punishing the
few radicals, King George III and Parliament overreacted and punished the entire colony of
Massachusetts.

The colonists at the time, both in Massachusetts and
surrounding colonies, did not react to the Tea Party itself, just as they had not reacted to the
Tea Act which supposedly motivated it, they remembered and hated the fact that the King was
punishing his own citizens, wrongfully and without cause, for a crime they did not commit.  This
was what gained support for independence, and in a way the Sons of Liberty could not have dreamed
of.

To what extent is the uncivilized side of boys revealed in the sow hunt, creation of Lord of Flies, treatment of conch, and desire for meat and...

This question is way too specific, and if we answered
every part of it there would be nothing left for you to reflect upon and write.  I will
spend a little time reviewing the uncivilized behavior of the boys in Lord of
the Flies.  There is one group which is closer to "civilized" than the other,
and that's the group which stays with Ralph.  It's Jack's group, the hunters, which
demonstrates little restraint when it comes to the darker side of their human nature. 
They're selfish and don't care about maintaining the fire or helping around the camp. 
They, and Jack in particular, feel no need to obey the rules of order established early
on and symbolized by the conch.  They are mean and self-absorbed and becoming wilder by
the page.  Their clothes are nearly gone (by wear as well as by choice) and they've
begun painting their faces for the hunt. Behind their masks, these boys are able to act
in ways which are generally unacceptable and certainly could be called uncivilized. They
only want to hunt, and they're getting more savage (as demonstrated by their sacrifice
to the Beast in the form of a pig's head) each time they hunt.  The rules are gone, and
so is their self-restraint.  You can certainly find those events in the chapters and
pages you list. 

Define central bank.

The basic definition of a central bank is that it A)
controls the money supply of a country and B) control the country's monetary policy. 
The central bank often also acts as a bank that lends to the other banks and as a
regulator.  However, it is a central bank's monetary policy functions that are most
important.

A good example of this is the Federal Reserve,
which is the central bank of the United States.  The Fed is responsible for monetary
policy by the fact that it does such things as setting the interest rates that it
charges when it lends to other banks.  The Fed also controls the money supply by buying
and selling government securities.  The Fed has recently announced that it will increase
the US money supply by buying up around $600 billion in US government
securities.

How strange are lines 35-45?

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In this very recent
poem, Tate engages us on the topic of what constitutes poetry. It is interesting for
readers to discuss whether his concepts here might seem exclusive, on the one hand, and
dismissive of ordinary life experiences, on the other. Lines 36–43 introduce images that
reflect bizarre sorts of action, for many persons equate the unusual with the poetic. It
is not poetry, goes the poem’s argument, to place the statue of a rhinoceros next to the
tweezers, and perform ritualistic magical movements. It is also not poetic to have
cocktail parties and to do charity work, and to perform helpful acts for animals (the
baby squirrel) and for people with flat tires, no matter how good these acts might seem.

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ABCD is a square with AB=12. Point P is in interior and the distances to A,B and to the side CD are equal. Find the distance.

Let P be  the point which is equidistant from A, B and
CD.

Then the point P being equidistant from A and B, the
perperpendicular bisector of AB shoud pass through P  and bisect AB at E and CD
at F respectively.

Now  the triangel AFE is a right angled triangle.
Therefore AF^2 = AE^2+EF^2.

AF^2= (1/2)AB^2 + EF^2,  as E is mid
point of AB.

AF^2 = 6^2 + 12 ^2 , as EF = BC = CD = 12 , sincw ABCD
is a square.

Therefore AF^2 =  36+144 =
180.

Therefore AF = sqrt(180) =
6sqrt5.

Similarly BF = 6sqrt5.

AB = 12
given

The area of triangle ABF = (1/2)AB*FF = (1/2)12*12 =
72.

Therefore AP = BP = FP = R the circumradius  R of the triangle
ABF , where F is the mid point of CD.

We know that in a triangle
circumradius R =   abc/4*area of trangle .

Therefore the circum
radius of ABF is R = AB*AF*BF/4*area of triangle = 12*(6sqrt5)(6sqrt5)/(4*72) = 12*36*5/(4*72) =
7.5cm.

Therefore the  distance AP= BP = FP =
7.5cm.

What does water represent in The Waste Land? Does it represent rebirth or death or a combination? Can you give specific examples?

In T.S. Eliot's the Wasteland, water represents both rebirth and
death, and colors each theme with a degree of wistfulness. Spring rain is one of the "cruel"
aspects of the month of April, a vital component of the rebirth of the seasons, yet harsh in the
way it stirs life anew.

Eliot refers to water indirectly later in
referencing the Hyacinth garden, saying "Your arms full, and you hair wet... I was neither living
nor dead...

In this case water acts as a component of a memory,
colored with a strong degree of melancholy. All the elements of this moment worked to move the
narrator of the poem into a limbo, a temporary nether realm of neither life nor
death.

In reference to the Tarot reader, and "Fear death by water"
the mention is made ironically, as Eliot uses the starkness of the prediction to undermine the
validity of the fortune teller. Essentially all people can fear death by water at some point in
life.

If f(x) = 2x-3 and g(x) = x^2 -2 find fog(x) and gof(x).

f(x) = 2x-3

g(x) = x^2
-2

We need to find fog(x) and
gof(x).

We know that fog(x) =
f(g(x))

Then we will substitute with g(x) = x^2
-2

==> fog(x) = f( x^2 -2)

Now
we will substitute with x = x^2-x in f(x).

==> fog(x) =
2(x^2-2) -3

We will open
brackets.

==> fog(x) = 2x^2 -4
-3

==> fog(x) = 2x^2 -7

gof(x) =
g(f(x)) = g(2x-3) = (2x-3)^2 -2 = 4x^2 -12x + 9 -2 = 4x^2 -12x
+7

==> fog(x) = 2x^2 -7

==> gof(x) = 4x^2 -12x +
7

Explain why the following quote is ironic from The Taming of the Shrew."Lucentio! O, he hath murdered his master!-Lay hold on him , I charge you,...

You have identified an excellent piece of dramatic irony in the
final act of this hilarious play. Let us remember the situation - Tranio is dressed up as
Lucentio, with the Pedant playing the part of his "father," and then the real Vincentio arrives.
Seeing Tranio dressed up as a noble, he assumes the worst and the Pedant's protestations that he
is the real father of the Lucentio that Tranio is playing makes Vincentio come to the conclusion
that Tranio has actually killed Lucentio and has impersonated him to gain his wealth. Thus
Vincentio calls for Tranio to be arrested for the murder of his
son.

This is an excellent example of dramatic irony because
Vincentio doesn't know what we and other characters on stage know - that Tranio has not killed
Lucentio and that Lucentio is alive and well, and in fact this is all part of an elaborate plot
to ensure he marries the woman of his dreams.

Given that definite integral of f(x) from x = 1 to x = 2 is 2 and definite integral of f(x) from x = 1 to x = 4 is - 1find integral of f(x) from x...

If f(x) is defined and continuous over the interval [a,
b], except maybe at a finite number of points, we'll write Int f(x)dx from a to b
as:

Int f(x)dx (a->b)  = Int f(x)dx (a->c) +
Int f(x)dx(c->b)

We'll put the endpoints of the
interval [a,b] as:

a = 1 and b =
4.

Int f(x)dx (1->4)  = Int f(x)dx (1->2) +
Int f(x)dx(2->4)

We'll subtract both sides by Int
f(x)dx (1->2) and we'll use the symmetric
property:

Int f(x)dx(2->4) = Int f(x)dx
(1->4) - Int f(x)dx
(1->2)

We'll substitute Int f(x)dx (1->4) =
-1 and

Int f(x)dx (1->2) = 2 and we'll
get:

Int f(x)dx(2->4) = -1 - 2 =
-3

So, the definite integral of the function
f(x), from x = 2 to x = 4
is:

Int f(x)dx(2->4) =
-1 - 2 = -3

What can I do with when brackets are there like 2(x+90) I dont get it

Hi, wizarcd.

In order to solve the
brackets in math, you can expand them.

In order to expand, you must
multiply the component outside the bracket with what is inside the
bracket.

For example, if there is 2(x+90), you can multiply 2 by x
and 90.

so the answer would be 2x+180.

What are the values of z1*z2 and z1/z2 if z1=27-13i, z2=18+7i given that they are used in trigonometric theorems?

We have the complex numbers z1 = 27 - 13i and z2 = 18 +
7i

z1*z2 = (27 - 13i)(18 + 7i)

open the
brackets and multiply

=> 27*18 + 27*7i - 13*18i -
13*7i^2

simplify noting that i^2 =
1

=> 486 + 189i - 234i +
91

=> 577 -
45i

z1/z2

=> (27 - 13i)/(18 +
7i)

multiply the numerator and denominator by (18 -
7i)

=> (27 - 13i)(18 - 7i)/(18 + 7i)(18 -
7i)

=> (27 - 13i)(18 - 7i)/(18^2 +
7^2)

=> (27*18 - 13*18i - 27*7i +
13*7i^2)/373

=> 395/373 -
(423/373)i

The value of z1*z2 = 577 - 45i and z1/z2 =
395/373 - (423/373)i

Why do you think Kalidasa adopted the story of Shakuntala for his play Abhijnansakuntalam?

I think that there might be several reasons for the attraction
to the narrative of Shakuntala. One of the first is that Kalidasa enjoyed writing about the Hindu
Puranas and philosophical tenets. In writing in Sanskrit, he would have learned about the
narrative of Shakuntala in theMahabarata, and this would have provided him an excellent
opportunity to delve into the nature of dharma and adherence to structure in the drama that is
Shakuntala's narrative. At the same time, I think that the poetry involved in the retelling
enables Kalidasa to explore so much in way of aesthetic inquiry. The myth and the drama that he
is able to construct around it show how the most powerful of men such as Sages and Kings must
deal with the very basic of human reactions such as love, separation, and the hope for
reconciliation with that which defines human identity. These are elements that Kalidasa is able
to evoke and bring out in his analysis. In the process, there is much within his writing that is
able to delve into an aesthetic appreciation of the concepts within
Hinduism.

At what point does "the extraordinary moment of recognition" occur in "Doe Season"?

The moment of extraordinary recognition
occurs when Andy realizes that her father has killed the deer, she helped, and she does
not like hunting after all.

Andy is a nine
year old girl who wants to please her father.  Her father really has no clue.  His
friend Charlie takes his son Mac hunting, and her father seems jealous of the bonding
time.  He wants his daughter to go, and he says it is the same as Charlie and
Mac.

When she shoots the doe, she does not kill it.  They
find it, but later that night she sticks her hand inside it and feels the
heart.

Andy
pressed deeper … until her whole hand was inside the wound and she had found the doe’s
heart, warm and beating.  She cupped it gently in her hand.  Alive,
she marveled.
Alive.

Andy
then feels as if her hand is pulled in and trapped.  When she finally gets it out, she
seems in shock.  She tries to hide her hand, and then simply
hides. 

Andy has tried to come to terms with the adult
world, or the world of men, but she cannot.  Instead, she runs away.  Yet she is a
different person than she was before.  Her incident with the dear demonstrates that she
has been reborn, as the dear died.  She decides she is no longer going to be called
Andy.  From now on, no more childish nicknames.

Andy has
changed in this one incident, from a girl to a young woman.  The kill has matured her,
and she has seen the change in herself.  When she reached inside the deer, she became a
new person.

How can the storm be seen as a example of pathetic fallacy?Lord of the Flies by William Golding

The storm that batters the island can be interpreted as a
pathetic fallacy--the attribution of human emotions or characteristics to
nature--because it embodies the chaos and savagery of the hunters in Chapter 9 of
Lord of the Flies.

When Simon recovers
from his seizure, he struggles through the creepers and staggers against the battering
wind as he attempts to return to the others and report to them his revelations about the
"beast."  On the grassy platform, the boys celebrate their hunt.  With the approaching
storm, Ralph and Piggy feel trepidation, so they join the others.  As the thunderstorm
builds, rain begins to fall; the littl'uns panic and run.  Then, in imitation of the
natural turbulence, Jack orders the ritual dance, and Roger pretends to be the pig.  The
boys chant, "Kill the beast! Cut his throat!  Spill his blood!"  At
this point, the beast--the body of Simon falls over the steep rock onto the beach. 
Simultaneously, the "clouds opened and let down the rain like a waterfall" and the
gale-like wind blows as the parachutist falls and is swept out to
sea.

readability="13">

Somewhere over the darkend curve of the world
the sun and moon were pulling, and the film of water on the earth planet was held,
bulging slightly on one side while the solid core turned.  The great wave of the tide
moved farther along the island and the water lifted.  Softly, surrounded by a fringe of
inquisitive bright creatures, itself a silver shape beneath the steadfast
constellations, Simon's dead body moved out toward the open
sea.

Not only does the storm
imitate the turbulence of the anarchy that has overcome the island, but it eradicates
the intuitive Simon who is the only one who has understood the evil within man, the
beast.