Tuesday, July 31, 2012

In Romeo and Juliet, Romeo compares Juliet to stars in Act II scene 2. How might this be an example of foreshadowing?

This part of the play that you refer to of course comes in the
famous balcony scene, where the two lovers address each other and confess their mutual love.
However, before Romeo announces his presence to Juliet, he views her for a while, comparing her
appearance favourably to stars:


readability="11">

Two of the fairest stars in all the
heaven,


Haivng some business, do entreat her
eyes


To twinkle in their spheres till they
return.



By comparing Juliet's eyes to
stars, Romeo is obviously trying to capture her beauty and the way that he feels about her. If
there is any foreshadowing in this scene, I think it must relate to the way that "stars" operates
as a symbol of unchanging destiny in the play. Note, when Romeo receives news of Juliet's death,
how he shouts to the universe "I defy you stars!" One of the central themes of this tragedy is
the way that fate or destiny, captured in the symbol of the stars, will not be thwarted and how
the two lovers are "star cross'd." Thus this description of Juliet could be said to be ironic
because it compares her to stars, which are the very things that keep them
apart.

Diminishing marginal utility is indicated by the downward slope of which of the following:A. Supply curve B. Demand Curve C. Elastic Supply Curve...

Marginal utility in the field of economics refers to the
extra value that each subsequent unit of a product is able to provide to the
consumer.


A decreasing marginal utility means that as
consumers get more of a product each subsequent unit provides a lesser value to them
than the previous unit. This is the primary reason why the price has to decrease in
order to increase the number of units of a product purchased by
consumers.


So the demand curve which is the graph of price
of the product by quantity demanded is a downward sloping curve due to the diminishing
marginal utility.

Monday, July 30, 2012

Find the distance between the points (0,2) ( -1, -4) and between( 3,-4 ) ( -1, 3)

The distance between (0, 2) and ( -1,
-4).


We will use the distance formula to
calculate.


We know that the distance formula
is:


D = sqrt [ ( xA- xB)^2 + ( yA-
yB)^2


==> D = sqrt[ ( 0+1)^2 + (
2+4)^2]


            = sqrt( 1+
36)


             =
sqrt(37)


Then, the distance between the point ( 0,2)
and the point (-1,-4) = sqrt(37)  = 6.08 units (
approx.)



The distance between ( 3, -4) and
( -1,3).


We will us the distance formula to calculate the
distance.


D = sqrt[ ( 3+1)^2 + (
-4-3)^2]


    = sqrt( 4^2 + 7^2)


     =
sqrt( 16 + 49)


       = sqrt( 65) =
8.06


Then, the distance between the point ( 3,-4) and
the point ( -1,3) = sqrt(65) = 8.06 units ( approx.)

How did Scout grow personally throughout the novel To Kill a Mockingbird?Examples.


Posted on

What were the long term effects of the Latin American revolutions?

Of course, the major long term outcome of these
revolutions was the creation of a number of independent nations in Latin America. 
However, the revolutions had less positive impacts.  I think you can argue that they
helped lead to the poverty and instability that has plagued many Latin American
countries.


The revolutions led to political systems that
were dominated by strong men, or caudillos.  These systems were not interested in
providing equality or democracy.  Because of this, these new countries tended to become
places where the powerful few (often of European descent) dominated the poor and
powerless many.


So the revolutions of Latin America allowed
the countries to become independent, but they also planted the seeds of the poverty and
instability that has continued into recent times.

What is the speaker talking about in #14, "If Thou Must Love Me, Let it Be for Nought"?


readability="4.3373493975904">

Top
Answer




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The speaker is
female, as is indicated in line 3. The poem itself may be considered as a part of a
previous discussion in which her suitor has stated that he loves her for a variety of
reasons, such as her smile, her appearance, her gentle speech, and her ability to set
him at “pleasant ease” (line 6). The speaker refers mainly to kinetic images as possible
causes for loving, such as her speech, her expressiveness, and her putting people at
their ease. In addition the kinetic image of “wiping my cheeks dry” might also be a
cause for loving inasmuch as the suitor might love her because at times he consoles her.
The speaker indicates that none of these is an actual cause for being in love because
they might all end, and as they end they might also end the suitor’s love.












Find the perpendicular distance from the point (5, 6) to the line -2x + 3y + 4 = 0

The line prpendicular line to line ax+by+c = 0 is given
by:


 bx-ay+d = 0, where d is a varying constant and to be determined
by a condition.


Therefore the perpendicular line  which passes
through a fixed point (x1,y1) is given by:


a(x-x) -a(y-y1) =
0....(1)


The equation of the given line is 2x+3y+4 = 0. So any  line
perpendicular to this line is of the form 3x-2y +k = 0. Since this passes through the point
(5,6), it should satisfy 3x-2y+k=0.


3*5-2*6+k =
0.


15-12+k=0


3+k =
0


k = -3.


Put k= -3 in the equation
3x-2y+k = 0 and  we get 3x-2y-3 = 0.


So the required equation which
is perpendicular to 2x+3y+4 = 0 and passes through the point (5,6) is  3x-2y -3 =
0.

Sunday, July 29, 2012

How does part one of The Stranger exemplify the absurd?

Part I of The Stranger presents the
first of three deaths: Meurault's mother's.  Meursault has no connection or role in her
death, unlike the death of the Arab in Part II and his own execution in Part III.
 Therefore, death is seen by Meursault in an external, detached, and absurd way.  As
critic Alan Gullette says:


readability="13">

Death marks all things equal, and equally
absurd.  And death itself is absurd in the sense that
reason or the rational mind cannot deal with it:  it is a foregone conclusion, yet it
remains an unrealized possibility until some indeterminate future time.  The "meaning"
of death is not rational but, again, is existential – its implications are to be found
not in abstraction but in the actuality of one's life, the finality of each
moment.



Remember, Meursault
is an anti-hero in his society: few people like him, even in Part I.  The old people and
the caretaker judge him for falling asleep during the vigil and for not viewing his
mother's body.  They believe that every son should mourn, cry, stay awake, not smoke,
and generally go out of one's way to show respect for death, even to the point of nearly
dying in the process (as Perez does).  This is not Merusault, who sees death as
absurd.


Also remember, Meursault is Camus'
absurd hero.  An absurd hero hates death, loves life, and
scorns the gods (those who judge).  As such, Meursault hates the culture of death.  He
does not mourn because death means nothing to him: he cannot conceive it.  And he will
certainly not honor it by going out of his way to stay awake or nearly kill himself in
the heat, as Perez does.  Why should one


For Meursault, an
atheist we will find out later, does not conceive of God or an afterlife.  He refuses to
see some supernatural connection; instead, he chooses to remember his mother alive and
happy, and he wishes the same for himself.  He wants to return home to Algiers to spend
the weekend with Marie, swimming.  For Meursault, life is a celebration of the moment,
not a ritual of self-loathing.  As an absurd hero, he will not cry over his mother
because, quite simply, she lived a good life.  Meursault scorns the gods (those who say
a son must cry) because he lives in denial of death, the mark of an absurd
hero.

How would you explain "A Future Member of Jefferson's Cabinet, 13 August 1800" (Thomas Jefferson to Gideon Granger)I need to write an essay

I think that you could pull much from this article that is
fairly consistent with what Jefferson wanted to do at the outset of his administration.  His fear
that America will become a "monarchy" that would "sink the state governments" reveals a couple of
interesting themes to be brought out through his tenure as president.  The fear of a central
government that would represent a monarchy is something that motivated his embrace of smaller and
more local state governments.  Additionally, the fear of "monarchy," in general is something in
which Jefferson held a passionate belief.  At the same time, the document suggests that there is
a danger in merely suggesting "a change to our Constitution."  This reflects Jefferson's strict
belief in a Constructionist view of the document, in that it should not be subject to changes. 
These ideas of constructionism of the Constitution, smaller and more local governments, and a
fear of centralized government were brought out in the letter to Granger and represented in much
of his theory of government as president.

What are the advantages and disadvantages of groin fields as shore protection?

Groin fields refer to a series of structures set up
perpendicular to the shore line that are used to prevent beach erosion. Groins are most effective
when the water flows in a manner that makes the sand move parallel to the shore line. Modern
groins are built of reinforced concrete which allows them to serve their purpose without
degradation.


The affect of groin fields is an accumulation of sand
on the updrift side and depletion on the downdrift side. The shoreline takes on a saw tooth shape
due to this. Enriched sediments can be placed between groins to allow a healthy growth of plants
and encourage the growth of diverse biological life at the edge of the
beach.


The only problem with the use of groin fields is that they
lead to regions on the downdrift sides losing sediment which accelerates erosion there. A
sediment prefill is required to prevent this.

Saturday, July 28, 2012

What is the centripetal force and speed of?A car drives around a circle with a radius of 100 m on a road that is banked (at an angle) to prevent...

When the car is negotiating the curve, the car has a
centripetal force directed towards the centre of the curvature. The radius of curvature
is given to be 100m. The centripetal force if give by Fc = mv^2/r, where m, is the mass
of the car (1500kg) and v is the speed of the car.


To
balance the centripetal force, the normal reaction at the place acts in an opposing
direction which is equal to mgcos x, where x is the angle of banking of the road.
.


Since entire system is in equilibrium and no friction is
there, the equation of forces is: (mv^2)/r = mgcosx.


Given
m =1500 kg,  r = 100meter, x = 20 degrees and angle of slope (or bankig ) x = 20 degrees
and g = 9.81m/s^2 we get:


At the maximum
velocity 1500*v^2/100 = 1500*9.81 cos20.


v^2 = (9.81cos20
deg)100.


v= sqrt{(9.81cos20
deg)100}.


v = 30.3618
meter/second.


Therefore the maximum velocity the car can go
is 30.3618 m/s = 30.3618*60*60.1000 km/hr  = 109.3km/h.

Friday, July 27, 2012

Prove the following: sin 2x = (tan x)(1 + cos 2x)

We know that 1 + cos 2x = 2 (cos x)^2 (half angle
identity)


Also, we know that the tangent function
is:


tan x = sin x/cos x


We'll manage
the right side of the equality:


(tan x)(1 + cos 2x) = (sin x)*2 (cos
x)^2/(cos x)


We'll simpliy and we'll
get:


RHS = (tan x)(1 + cos 2x) = 2sin x*cos x =
LHS


We notice that we've get the expression from the left side,
since 2sin x*cos x = sin 2x


The given identity sin 2x
= (tan x)(1 + cos 2x) is verified.

Thursday, July 26, 2012

What are the themes in Miller's A View from the Bridge?

I think one of the biggest themes that this play points towards
is the recognition of a different code of laws in separate communities that often stands in
conflict with the national law. Miller presents us with a world that is full of Italian
immigrants, and thus the community operates under a mix of Sicilian and American laws. This
"code" is characterised by the protection of illegal immigrants, the importance of family and
hard work and the shipping culture and, most importantly for the play, the sacredness of trust
and the desire for revenge when a member of the community has been
wronged.


Clearly, however, when Eddie Carbone chooses to prevent the
marriage between Catherine and Rodolpho, he points out the massive conflict between this "code"
and the American system of justice. By appealing to American state law, Eddie Carbone forsakes
his own respect and identity which is incredibly important to him. Note how the small community
is shown as being victorious compared to American law in the way that the community avenges its
own member who has now turned against it. In spite of Alfieri's pleas to Marco that "only God
makes justice," Marco, on behalf of the community, makes his own justice by killing Eddie for his
betrayal of his community.

How does the final paragraph of "Once Upon a Time" help elucidate the theme?

I remember first teaching this short story to my Seniors and the
way that they were all repulsed by the final paragraph and the ending of this modern fairy tale
in South Africa. In particular, the bloody end that the boy meets whilst trying to enact the
fairy tale in his book is incredibly shocking. Note how this ending is
depicted:



Next day he
pretended to be the Prince who braves the terrible thicket of thorns to enter the palace and kiss
the Sleeping Beauty back to life: He dragged a ladder to the wall, the shining coiled tunnel was
just wide enough for his little body to creep in, and with the first fixing of its razor teeth in
his knees and hands and head he screamed and struggled deeper into its
tangle.



There is an intense irony in
this passage which is crucially linked to one of the main themes of the story. The family have
supposedly had the "Dragon's Teeth" installed to protect themselves, but they end up by damaging
themselves in a way that they could never have foreseen. It appears that walls or barriers, no
matter how sophisticated or high, cannot guarantee safety or peace, and that often, when we try
to protect ourselves we actually just end up hurting oruselves, as is shown through the way the
boy is mauled.

Trace the development of the relationship between George and Slim from the beginning of Of Mice and Men to its end.

Steinbeck possesses a great deal of respect for Slim. The manner
in which Slim is described represents Steinbeck's affinity for Slim as a man of action. This is
something that we see in George's understanding of Slim. From the opening of Chapter 3, George
views Slim as a person in the position of authority and with a sense of reverence. The fact that
Steinbeck uses the term "confessional" helps to bring this out in their relationship. George
defers to Slim in a manner of respect and reverence, almost to the point where George understands
that "the buck stops" with Slim. He demonstrates an unusual trust in Slim, confiding to him why
they left their last job in Weed. When Slim discovers Curley's dead wife's body, George defers to
him. In the end, when George has to kill Lennie, Slim displays compassion in comforting George.
While George is despondent and beyond the reach of all others, he is receptive to Slim's taking
him by the elbow and walking off with him. It is as if the relationship between both of them is
akin to a priest and a penitent.

Wednesday, July 25, 2012

In "The Love Song of J. Alfred Prufrock," how is Prufrock the symbol of Modern Man?

Modernism had created a very different world from what had gone
before it. According to Joseph Campbell, a noted scholar of myths, Modern society has resulted in
a "stagnation of inauthentic lives and living... that evokes nothing of our spiritual life, our
potentialities, or even our physical courage." He argued that the conditions of the modern world
had bogged people down in the everyday concerns of life and had made them observers rather than
participants in life's adventures, passive characters rather than active
heroes.


There is a definite sense in which Alfred Prufrock fits this
description of a profoundly modern man. The poem is all about the momentous visit he intends to
make and the question he intends to ask. However, crucially, he never arrives and never asks the
question. Instead, he reveals that he is a man torn by indecision and concerned about his own
appearance. He is an isolated man because of hsi fear of being ridiculed or misunderstood, and we
recognise that these aspects of his personality will always prevent him from realising his
dreams. The allusion to the sirens that ends the poem hints at a loss of hope that indicates
Prufrock's own understanding of his situation:


readability="10">

We have lingered in the chambers of the
sea


By sea-girls wreathed with seaweed red and
brown


Till human voices wake us, and we
drown.



The "drown" in this quote could
refer to the loss of hope as Prufrock is distracted from his imaginings by human voices and
"woken" into the reality that he does so much to avoid.

What events and actions tell that the character Napoleon is a cruel dictator?

In chapter 5, Napoleon asserts his authority by running
Snowball off the farm with the assistance of the dogs he had been training from birth to
be his brute squad. He then cruelly, but persuasively, announces that he is the leader,
and that he has authorized the pigs to make all decisions from here on out. Of course he
uses techniques of propaganda to help the rest of the animals think this is fair. He
demoralizes the animals keeping his dictatorship in effect by using the force of the
dogs.


In chapter 6, Napoleon's hypocrisy to the
commandments begins to surface. We as readers see that the rules apply to the animals,
but not him. For example, he trades with neighboring farms which makes all of the
animals on this farm work even harder and more. He also hires a human. Thus, Napleon can
deal with two legs, even though they are bad.


In chapter 7,
conditions on the farm grow worse. The winter begins to really hurt the farm and rations
are cut to almost nothing. In an effort to continue to raise money, Napoleon demands
that the hens eggs also be sold. Hens die as a result of Napoleon's strict and
demoralizing leadership.


I hope these ideas help you
prepare.

Who do you see as the protagonist of "Bartleby the Scrivener"--Bartleby or the lawyer/narrator ?Herman Melville's "Bartleby the Scrivener"

With the apparent propensity of Herman Melville for
writing narratives in which characters have doubles--in Moby Dick,
Ahab has two alter egos:  Pip as his imaginative side, and Fedulla as his darker
side--there is a substantial argument for Bartleby's being a double for the lawyer. 
Thus, as the lawyer's "psychological double" that represents the impersonal and sterile
side of him, Bartleby acts with him as both protagonist and
antagonist. 


In his essay, "Melville's Bartleby As
Psychological Double," Modecai Marcus proposes that the screen which the lawyer places
between himself and Bartleby represents his attempt to subjugate his imagination and
sensitivities to the world of business.  For, Bartleby works industriously for the
religiously significant three days, then stops producing; instead, when asked perform
tasks, Bartleby simply replies, "I prefer not."  While the lawyer is at first the
antagonist, Bartleby's passive protests increasingly dominate the lawyer, making him now
the antagonist.  As Marcus points out,


readability="8">

The lawyer finally accepts Bartleby's presence as
a natural part of his world, and he admits that without outside interference, their
strange relationship might have continued
indefinitely.



However, the
roles of protagonist/antagonist reverse as with the increasing resistance of Turkey and
the other scriveners, the lawyer feels compelled to dismiss Bartleby. Still, after he
learns that Bartleby is living in his office from which he has moved, he invites
Bartleby to come home with him until he can find lodgings.  But, then, Bartleby becomes
again the antagonist, refusing the lawyer's offer.  Finally, when the lawyer learns that
Bartleby has been taken to prison and blames him for this imprisonment.  Marcus suggests
that Bartleby, who stares vacantly at the prison wall, represents a "voice deep within
the lawyer" that wishes to give up his way of life on the confining world of
unimaginative business on Wall Street. Therefore, Bartleby resumes the role of
protagonist.


Thus, in Herman Melville's story, "Bartleby,
the Scrivener, A Tale of Wall Street," Bartleby and the lawyer represent conflicting
sides of the mind of one individual who has been reshaped by the limitations of society,
symbolized as the "wall."  Like Ahab, who refuses to accept his limitations as a damaged
man and seeks to break through "the pasteboard mask," the lawyer, too, struggles as his
does hi psychological double, Bartleby;  they struggle to combat the "wall" of limited
imagination. 

I am writing a research paper on the suicidal poet Sylvia Plath. Are there any things I should emphasize especially?

  • You can divide her life into three sections:
    juvenalia (her young period of writing as detailed in The Bell
    Jar
    ), the Colossus years (her first book of poetry), and
    her Ariel years (her last book of poetry).  Ironically, two of her
    three major works, The Bell Jar and some of
    Ariel, were published posthumously. 

  • You can also divide her life geographically: years
    writing in suburban Boston; her college years (in the U.S. and Europe); and her married
    years in Europe to Ted Hughes.

  • And, further still, you
    can divide her life up into suicide attempts: she attempted suicide about every 10
    years, I believe: when she was around 10 (drowning); when she was 20 (sleeping pills);
    and, finally, when she was 30 (gas; carbon monoxide).  She mentions these attempts (all
    but the last) in her poem "Lady Lazarus":

readability="5">

I have done it again.
One year in every
ten
I manage
it--



  • Still, yet
    again, you can divide her life topically by her external problems with men, materialism,
    motherhood, and marriage and her internal problems with mental illness (depression,
    schizophrenia, bi-polar disorder). 

  • But, the best part
    of Sylvia Plath is her art: focus on her daring, luminous verse.  Her poetry has a
    confessional, no-holds-barred, in-your-face voice to it.  Plath's creativity is no doubt
    tied somehow to her madness, which is singular in American
    poetry.

Best of luck...

How does the story of the Cass family blend into Silas Marner?

On Chapter 3 the story of the Cass clan comes to play in
the story of Silas Marner when they introduce them and their roots. We know that they
are a well-known clan who once enjoyed the pleasures of wealth and a good name, and that
they are the proprietors of the Red House, which is considered in Raveloe as a place of
high distinction within the parameters of the
townsfolk.


The introduction of the Cass clan is necessary
to the novel because it shows us that the Class clan has several weaknesses that
actually may foreshadow an important crossing into the path of Silas
Marner.


Among the weaknesses of the Cass clan are the
brothers Godfrey and Dunsey. Godfrey, who needs desperately to marry for money,
erroneously married a drug-addicted woman and hides it from his father who would kill
him if he found out. Dunsley is money hungry and evil. We also know that Silas is hiding
gold and that he is alone and quite vulnerable for people of this
nature.


Hence, by letting us understand in full the nature
of the Cass clan is how Elliot introduces their storyline into
Silas's.

Tuesday, July 24, 2012

In Act 2, what different types of madness do we see in Hamlet?this is from hamlet by shakespear.. plzz help!!!

The first we hear of Hamlet's madness is Ophelia's report of
Hamlet's crazy behavior in her rooms just a few minutes before hand. In this description we hear
about Hamlet NOT speaking, just staring at Ophelia in long and odd ways and the fact that his
clothing looks askance (probably not like the prince usually
dresses!). 


Late in the next scene of the Act 2 we see Hamlet acting
crazy in front of the court -- clearly this is a show for the crowd.  It is important to note
that Hamlet is speaking in prose -- a Shakespearean method of indicating madness in his character
at this time.  Hamlet is talking what others seem to think is nonsence.  He calls Polonius a
fishmonger (when he is clearly not one); he makes some odd comments about Polonius having a
daughter and how Polonius should worry about her; he makes veiled comments about old people (like
Polonius); he speaks in a very absolute manner (about death being "out of
air"). 


A little later we see in his conversation with Rosencrantz
and Guildenstern that he is still speaking in prose and telling them that "Denmark is a prison." 
Thinking that the world is a prison is a sure sign of depression in Shakespeare's time.  He
explicitely states that he thinks the world is a terrible place to be right
now.

Monday, July 23, 2012

In "Young Goodman Brown," how did Young Goodman Brown's outlook on life influence his actions?

This is an interesting question. I am not sure that we are given
much information about Goodman Brown's outlook on life but it is clear that his action in
insisting on going into the woods is part of some last rebellion against good and dalliance with
evil before he settles down to become a righteous and spiritual man. Note how as he starts off on
his journey he reflects on what a terrible man he is to ignore his wife's plea for him to
stay:



"Poor little
Faith!" thought he, for his heart smote him. "What a wretch am I to leave her on such an errand!
She talks of dreams, too. Methought as she spoke there was trouble in her face, as if a dream had
warned her what work is to be done tonight. But no, no; 't would kill her to think it. Well,
she's a blessed angel on earth; and after this one night I'll cling to her skirts and follow her
to heaven."



Note how allegorically,
Faith, Goodman Brown's wife, is exactly that, and so after this one last night of evil, Goodman
Brown resolves to "cling to her skirts" and by so doing "follow her to
heaven."


Thus perhaps we can infer that Goodman Brown's outlook on
life is that he is entitled to one last fling with the Devil before settling down to become a
good Puritan and focusing on becoming holy. It is this belief that he is entitled to one last
night of evil that leads him into the woods and changes him utterly
forever.

Provide a list of Albert Einstein's mathematical discoveries.

Among Albert Einstein's
inventions and mathematical/scientific
discoveries were:


  • The Atomic
    Bomb
    .  Although Einstein was not part of the team which invented the
    atomic bomb (i.e. the Manhattan Project), his equation--" e=mc² "--was perhaps its most
    important development.

  • Einstein
    Refrigerator
    . The absorption refrigerator uses heat to run and fuel the
    cooling system; it also has no moving parts.

  • Photoelectric
    Effect
    . Einstein determined that light consists of particles (photons),
    which contained energy, which was
    proportional to that of frequency of
    radiation. His formula? 
    " E=hu
    ".

  • General Theory of
    Relativity
    . Perhaps his most important and famous act, it states
    that "gravitational fields are equivalent to accelerations of the frame of
    reference
    ".

  • Others included the
    Entwurf Theory; the
    BoseEinstein condensate
    phenomenon
    ; the Unified Field Theory; and
    the Einstein-Cartan
    Theory
    .

What factors might explain the apparent shift from controversy to acceptance over the years in regards to the 1966 ruling of Miranda?

First of all, it is not correct to say that the Miranda
ruling is accepted today.  Especially with the more conservative Supreme Court that now
exists, Miranda has been chipped away with more and more exceptions being
made.


The most important reason that Miranda was accepted
to the degree that it was is that the Supreme Court was relatively liberal for much of
the time between 1966 and today.  Because of this, the Court was relatively willing to
uphold Miranda and an expansive view of 5th Amendment
rights.


A second important reason is that Americans have
generally come to see that the Miranda ruling has not completely sabotaged law
enforcement's ability to act.  Because of this, opposition to Miranda has been at the
margins -- trying to narrow the ruling, but not to completely do away with
it.

Sunday, July 22, 2012

Find the roots of x^4 – 13x^2 + 36 = 0

We have to find the roots of x^4 – 13x^2 + 36 = 0. As we have x
raised to the power 4, we are going to have 4 roots.


Now let us see
the given equation :


x^4 – 13x^2 + 36 =
0


we see that -13 can be written as -4 – 9 so that the sum is -13
and the product is 36


=> x^4 – 4x^2 – 9x^2 + 36 =
0


=> x^2 ( x^2 – 4) – 9( x^2 – 4) =
0


=> (x^2 – 4)(x^2 – 9) =0


Now
x^2 – 4 and x^2 – 9 can be factorized using the relation x^2 – y^2 = (x – y)*(x +
y)


=> (x – 2)(x + 2)(x – 3)(x + 3)
=0


So for (x – 2) = 0, we have x =
2


for (x + 2) = 0, we have x = -2


for
(x – 3) = 0 we have x = 3


and for (x + 3) =0, we have x =
-3


Therefore the roots of x^4 – 13x^2 + 36 = 0 are x =
2, x = -2, x = 3 and x = -3.

How does humanity win over sin in the story "The Tell-Tale Heart"?

I like the word humanity in your question--in order to
answer this question you have to define what you mean by humanity.  We tend to think of
humanity as our kinder, gentler nature, but in the case of this story, you have to think
a little more.  It is hard to consider that the man who killed the old man has any
humanity.  Yes, he is human, but he cold bloodedly kills the old man for no good
reason!  And yet it is his humanity that triumphs in the end
because in this story, humanity means conscience.  Most human beings have a conscience
that is their moral compass.  For a while, the man seems to not have a conscience, but
in the end, the guilt that comes from his conscious shows his humanity.  After he kills
the man and dismemebers the body he imagines he can hear the beating heart of the
victim--those heart beats are his guilty conscience condemning his actions and his guilt
overwhelms him into a confession of his sins--thus the murder is revealed and his
humanity wins over his sin.

What is the purpose of the Hecuba speech in the play Hamlet?

This speech in Hamlet is spoken, of
course, by Hamlet after the Player King has delivered his moving monologue about
Hecuba.  Thisis an ancient tale, and, while it'sa tragic story, the characters and
events of this story are nothing personal to the actor.  Still, the Player King is moved
to tears as he tells the story.  Hamlet's speech which follows is generally known as the
"rogue and peasant slave" soliloquy. In it, Hamlet has two key themes.  First, he
berates himself for his comparative lack of emotion even for a just and personal cause
and is amazed at the actor's ability to create such emotion for something totally
disconnected from his life.  He says:


readability="18">

O, what a rogue and peasant slave am I!

Is it not monstrous that this player here,
But in a fiction, in a
dream of passion,
Could force his soul so to his own conceit
That
from her working all his visage wann'd,
Tears in his eyes, distraction in's
aspect,
A broken voice, and his whole function suiting
With forms
to his conceit? and all for nothing!
For Hecuba!
What's Hecuba to
him, or he to Hecuba,
That he should weep for
her?



Next, Hamlet notes that
if this actor had half the reason, the "motive and cue for passion," that he did, he
would be a rather wild man on stage, confounding all with his emotions and actions. 
Yet, Hamlet says, he "can say nothing"--not even against a king who has usurped the
throne by killing his own brother. He says he deserves all insults of word and deed for
this lack of resolve and passion.  He continues his diatribe against
himself: 


readability="17">

Why, what an ass am I! This is most brave,

That I, the son of a dear father murder'd,
Prompted to my revenge
by heaven and hell,
Must, like a whore, unpack my heart with words,

And fall a-cursing, like a very drab,
A
scullion!



Then comes the
second portion of this soliloquy in which Hamlet makes a plan.  "About, my brain!" he
says, and then he determines to reaffirm the King's guilt by enacting a play within a
play (within a play, actually)--inserting a few lines into the play in order to catch
the King off guard and ensure himself of Claudius's
guilt.   



I'll
have these players
Play something like the murder of my father

Before mine uncle: I'll observe his looks;
I'll tent him to the
quick: if he but blench,
I know my
course. 



In the end, Hamlet
has--once again--made a plan to determine once and for
all:



...the
play 's the thing
Wherein I'll catch the conscience of the
king.


In Fahrenheit 451, who does Faber blame for book burning?

When Montag comes to Faber, he is super upset and seeking
answers for why he feels so miserable all of the time.  Faber explains to him all of the
reasons that books are so precious.  The problem is, people didn't understand how
precious they were; instead, they wanted easy answers and mindless entertainment. 
Essentially, Faber blames us for the books being burnt. He said that "the public itself
stopped reading of its own accord," and that firemen weren't really necessary very
often.  The people didn't rebel that often.  They liked not having books  They liked not
having to think.  They liked not having the different judgments and questions that were
presented in books constantly worrying their minds.


The
books being burnt in the beginning were entirely our own fault.  Along those lines,
Faber says that true change in their society would be very difficult because "the whole
culture's shot through."  If you really think about it, of all of the people that we
meet in the story, only Clarisse and her family care that books aren't read.  Them, and
the old lady that dies with her books.  Everyone else is complacent and mindless.  Faber
blames everyone, all of us, for letting things get to the point that they
were.


I hope that helped; good
luck!

Saturday, July 21, 2012

How do I start the body of my essay on Hamlet's free choices?

Before you start your body paragraphs, you have to establish a
clear argumentative thesis statement as part of your introduction. Ask yourself what you are
trying to prove about Hamlet's free choices? The answer to that question will be the focus of
your paper and should help you keep the body of your essay on topic in order to prove something
about the play.


In regards to your topic, here are a few questions
you could ask yourself:


1. Does Hamlet actually have free choice, or
is he a victim of fate?


2. Who or what influences Hamlet to make the
choices that he does?


3. Does Hamlet think about the consequences of
his choices? Does he over-think them?


4. What outside influences
affect Hamlet's choices?


5. How does Hamlet react to the
consequences of his choices?


6. How much of the resolution of the
play is a result of Hamlet's free choices? What aspects are out of his
control?


After you have done some brainstorming on questions like
those posed above, then you can create your thesis and decide which choices/decisions made by
Hamlet best support your thesis. Don't forget to use specific example and to explain HOW your
quotes and paraphrases support your thesis. Good luck!

How does individual conscience conflict with public values in To Kill A Mockingbird?I need three examples or arguments to support the question.

In Harper Lee's To Kill a
Mockingbird
, there are characters who clearly "march to the beat of a
different drummer."  Three such characters are Miss Maudie, Raymond Dolphus, and, of
course, Atticus Finch.


Miss
Maudie


In constant conflict with the
sanctimonious hypocrites of her community, Miss Maudie answers the religious taunts of
the fundamentalists who think that she spends too much time in her garden by quoting
scripture right back to them.  At Alexandra's tea, Miss Maudie has no qualms about
remarking on the hypocrisy of Mrs. Merriweather who "most charitably" donates to the
Africans, but is stingy with the maid she has had for years.  For instance, after Mrs.
Merriweather has cricized her maid's recent attitude since the trial approaches, saying
she should be grateful for the pittance she pays her, Miss Maudie asks if Mr.
Merriweather does not choke on the food.  She is also not afraid to show her support of
Atticus to others.


Mr. Dolphus
Raymond


Like Miss Maudie, Mr. Dolphus
Raymond rides down his own path against conventional wisdom. And, he lives in the Negro
section of town because he repudiates the hypocrisy of the townspeople.  But, to appease
their hypocritical ways, he pretends to be a
drunkard.


Mr. Atticus
Finch


Ever the individual who even advocates
considering others as individuals, as well, Atticus Finch goes against the norm which is
that a white man who is forced to defend a Negro like Tom will only represent a Negro in
the most perfunctory manner.  However, Atticus intends to do his best and to defend Tom
to the best of his efforts.  He has the intention of releasing the entire
truth.

Friday, July 20, 2012

What makes the story of "Rostam and Sohrab" a tragedy?Basically I want to know what makes the story of "Rostam and Sohrab" a tragedy based on the...

In a translation of "Rostam and Sohrab" by Helem Zimmern
(see link below), the story begins:


readability="6">

"Give ear unto the combat of Sohrab against
Rostam, though it be a tale replete with
tears."



From the beginning,
the reader knows that this Persian legend will involve not only tragedy ("tears") but
also some type of conflict between the two characters. Thus, throughout the tale, the
father-son pair, Rostam and Sohrab, are separated. Sohrab spends his whole youth
searching for his warrior father but begins to lose hope that he will ever find him.
Ironically (as many legends go), Rostam and Sohrab meet in battle against each other,
and even when there is opportunity for them to know each other's identity, they are
deceived by manipulative villains or ruled by their own skepticism. It is not until
Rostam throws Sohrab on the ground, breaking his back, that he and Sohrab realize that
they are father and son. While Rostam is able to spare his son torture from Sohrab's
enemies, he must still live with the knowledge that he delivered the death blow to his
only son who wanted nothing more than to know his
father.


The story also possesses Aristotle's elements of
tragedy. It includes a tragic hero (both Rostam and Sohrab) whose tragic flaw (primarily
pride) leads to his (in this case, "their") tragic
downfall.


As a side note, Khaled Hosseini masterfully uses
"Rostam and Sohrab" as an allegory in his bestselling novel The Kite
Runner
.

Who suspects Macbeth?Support your answer with lines from Act 2

As with most crimes, the killer becomes a suspect in the minds
of those around him. 


Macduff suspects Macbeth's activities
immediately after the discovery of the body.  Macbeth admits to killing the guards which makes
Macduff suspicious enough to ask


Wherefore did you
so?
 


Later, Macduff refuses to attend Macbeth's coronotion
worrying that the new direction of the kingdom is evil, as evidenced by his quote from scene
iv



Lest our
old robes sit easier than our
new!



The King's sons flee
the scene, afraid for their own live.  They sense that someone close to their father killed him
when Donalbain says in scene iii


readability="0">

There's daggers in men's
smiles



The Thane of Ross
also questions Duncan's sons as suspects because they had really nothing additional to gain from
the murder, especially if they ran away!  He says in scene iv


readability="0">

'Gainst nature
still!

Thriftless ambition, that wilt ravin
up

Thine own life's
means!




Ross,
Donalbain and, most importantly, Macduff suspect Macbeth in Act II.

Determine the function f(x) if f(0)=0 and f'(x)=2x+1.

Since the result of the first derivative is a linear
function, we'll consider f(x) as being a quadratic
function.


f(x) = ax^2 + bx +
c


We'll consider the constraint from
enunciation:


f(0) = 0


We'll
substitute x by 0 in the expression of the quadratic:


f(0)
= a*x^2 + b*0 + c


f(0) = c


But
f(0) = 0, so c = 0.


Now, we'll
differentiate f(x):


f'(x) = (ax^2 + bx +
c)'


f'(x) = 2ax + b (1)


We'll
impose the other constraint given by enunciation:


f'(x) =
2x + 1 (2)


We'll put (1) =
(2):


2ax + b = 2x + 1


For the
identity to hold, we'll have to impose that the coefficients of x from both sides have
to be equal and the terms that do not contain x from both sides, to be
equal.


2a = 2


a
=
1


and


b
= 1


The expression of the
original function is:


f(x) =
x^2 + x

Thursday, July 19, 2012

What ideas can I write about the difference between African- American Literature and American Literature?

I think that this is a really excellent topic.  There will
have to be much in the way of research and analysis present here.  In my mind, I feel
that the most pressing difference between both sets of literature is the presence of
race and how this factor helps in the social construction of identity.  I would examine
some of the writings of Henry Louis Gates, Jr.  He has spent a great deal of time
exploring the foundational elements of African- American literature.  I think that your
essay should spend some time assessing Gates' analysis and also delve into how race and
identity are specifically powerful to African- American literature.  It might be so
important to the discussion of how it differs from traditional American Literature
because what it means to be "different" is an element that is so unknown and so vast. 
The experience of being "different" is a part of the African- American literature
dialogue specifically because it is not part of the dialogue of mainstream American
Literature.  While much of American Literature does discuss individuality and seeing
things in a different light, African- American literature deals specifically with what
happens when this is socially, economically, politically, and psychologically
reinforced.

What is the Sieve of Eratosthenes?

The Sieve of Eratosthenes decants composite numbers,
leaving behind the prime numbers.


A  prime number is a
positive integer, whose factors are 1 and the number itself. A prime number will
always allow only 2 factors.


Let's see how Eratosthenes's
sieve works:


We'll write rows with numbers from 1 to 10, 10
to 20,...90 to 100.


1   2   3   4   5   6   7   8   9 
 10


11 12 13 14 15 16 17 18 19
20


21 22 23 24 25 26 27 28 29
30


31 32 33 34 35 36 37 38 39
40


.................................................


91
92 93 94 95 96 97 98 99 100


Since 1 is not a prime, we'll
take 2 as the first even prime number and then we'll cross out each multiple of
2.


We'll take 3 as the next positive integer prime and
we'll cross out it's multiples. Some of the number are already crossed out, since they
were the multiples of the prime 2, also.


We'll take the
next number, namely 5 and we'll cross out the multiples of
5.


We'll continue to do that until we'll finish all the
numbers up to 100. The crossed out numbers are the multiples, the open numbers being the
primes. 

Can anybody tell me about Elizabethan verse and prose?

Elizabethan Drama evolved from the Miracle. Mystery, and
Morality plays of the Middle Ages.  Perhaps the most famous of these plays is
Everyman.


The biggest step came with the so
called "school dramas".  The first tragedy was by two school friends, Thomas Sackville
and Thomas Norton called Gorboduc.  The first two comedies were
Ralph Roister Doister by Nicklas Udal and Gammer Gurton's
Needle,
playwright unknown.  These plays are all in verse which is rather
awkward and clumsy.


It was left up to the University Wits
(Lyly, Lodge, Greene, Nashe, and Marlowe) to further develop both the form and the
verse.  The most influential of this group was Christopher Marlowe who took blank verse
which was already being experimented with by some of his peers and used it better and
more eloquently.


Quit simply, blank verse aka iambic
pentameter is a rhythm, de DUM de DUM de DUM de DUM de DUM.  It was used for several
very practical reasons.  Earlier verse forms were clumsy whereas blank verse most
closely mirrors the rhythm of everyday English speech.  (IE I asked for coffee but you
gave tea.)    It also mirrors the heart beat and finally verse is easier to memorize
than prose because of the rhythm. (It is interesting to note that the rhythm is called
iambic pentameter.  In Greek iam means to throw, meaning the verse is always being
thrown forward.)


Marlowe also used the closet dramas of
Seneca as his model rather than the more rigid Greek.  Both Marlowe and Thomas Kyd
(The Spanish Tragedy) brought the violence right onto the stage to
the delight of the Elizabethan audiences.  In Elizabethan tragedies, the bodies pile up
on stage.


Unfortunately, Marlowe died young in a bar room
brawl or who knows what he would have accomplished as a playwright? Fortunately, William
Shakespeare was there to pick up the mantel of "master of the verse".  Shakespeare
continued the development of blank verse and used it effectively in all of his
plays.


He also used prose.  Often prose is the language of
the lower class but not always.  It can also be used among friends.  For example
King Lear opens with two nobleman "having a chat".  They are
speaking in prose.  When the king enters and the occasion turns formal, so does their
language.  They speak verse.


The play, Much Ado
About Nothing
is more than half prose whereas in Romeo and
Juliet
, Mercutio speaks in prose but few other characters do.  Here
Shakespeare used a lot of rhyming couplets which is an indication of wrapping up an
idea/thought.


Shakespeare can give you a good picture of a
character's state of mind by how he uses verse.  If the language is smooth and flowing,
this is a mentally calm and in control character.  If the language is short and choppy
with lots of punctuation, the mind is in
turmoil.


Shakespeare seemed to choose the language, whether
it was verse, prose, or a combination of the two for each character according to need
and situation.  Not every line is in the 5 stress/5 unstressed pattern.  Sometimes the
rhythm is a troke.  Key words are always in the stress position.  It must be remembered
that seemingly unimportant words like if or and can be in the stress
position.

What is the theme of "The Doer of Good" by Oscar Wilde?

Reading this poem twice is a good idea. If you have no
familiarity with the Bible, then the story may not come as easily. This is the
difficulty with allusions: if someone is unfamiliar with what is being alluded to, often
the message of the writing is lost.


In this case, there are
two clues about the subject of the writing. First, the "voice" used sounds like a
Biblical passage. For example,


readability="5">

'Why do you look at this woman and in such
wise?'



The second clue is
that the pronouns are capitalized when referring to the subject of the poem.  The
traveler/speaker/observer here is always referred to as "He" or "His," which is the way
Christ is referred to in the Bible.


With this in mind, the
two people he observes are recipients of his healing power, based on stories told in the
New Testament. The first young man in the rich mansion was a leper that Christ healed.
The second is a young man with lust in his eyes, and he is a blind man to whom Christ
returned sight.


In both cases, Jesus asks the men why they
are acting in such a way: worldly and with no thought to God, for the Bible states that
the men were changed after their miracles, and not just physically. They both respond by
saying something like, "Well, what did you expect?"


The
theme Wilde seems to be presenting basically says that even when great things are given
to us that can change us or our lives dramatically for the better, human nature is
strong and difficult to overcome. It is easy to forget kindness showed us, or perhaps a
humbling experience, and become what we had been before. Is this a relevant theme to our
time? One might ask how many people remain connected to their fellow human beings after
a terrible disaster, such as 9/11 or Katrina. How many of us are changed for a short
period of time, and then return to "business as usual?"

What is the significance of the title " A Good Man is Hard to Find"?

The family stops at Red Sammy's to eat. June Star comments that
is is a broken down shack. The grandmother, who is selfish herself, notes that things aren't like
they used to be and she tells Sammy he is a good man for letting two boys charge some gas.
Sammy's wife brings the food out and adds that you can't trust anyone. Then they talk about the
escaped murderer, the Misfit. The consensus of this conversation is that no one can be trusted
and the the world has become a more violent place. The children are not respectful but really
every character, with the exception of Sammy perhaps, is only interested in selfish
needs.


After killing the grandmother, the Misfit says she may have
been a good woman if someone had been there to shoot her every day of her life. What he means is
that the world is so off balance that it takes these extreme situations to prompt people into
behaving unselfishly. If everyone is selfish and untrustworthy, maybe the only thing that would
make them appreciate life and others would be to constantly face death. It has been a subject of
debate whether or not the grandmother actually achieves grace when she says the Misfit is "one of
her children" or if this was also a last ditch effort to save her own life. This ambiguity shows
that a good woman is also hard to find. In fact, it is interesting to consider if O'Connor may
have intended this ambiguity.

What are the integers a and b if their sum equals 57 and we know that b is 3 less than double of a?

Given that the sum of the integers a and b is
57.


==> a + b= 57
............(1)


We are given that b is 3 less than double
a.


==> Then we will rewrite :


b=
2a - 3 ...............(2)


Now, using the substitution method, we
will substitute (2) into (1).


==> a + (2a-3) =
57


==> 3a - 3 = 57


We will add 3
to both sides.


==> 3a =
60


==> a = 60/3 = 20


==>
b= 2a-3 = 2*20 -3 = 40-3 = 37


==> Then the
numbers are : a = 20 and b = 37.

what is the difference between de jure and de facto discrimination?

De jure discrimination is any discrimination or unequal
treatment of two differing groups that is based on statutory law and sanctioned by the
government in place at the time. The best example of de jure discrimination would be the
Jim Crow laws of the segregated south after the Civil War up to the passage of the Civil
Rights Act of 1964. These laws put in place two separate but unequal societies in the
south, allowing the white power structure to subjugate the black population of the
former confederacy. The Apartheid system in South Africa up to 1994 is also an example
of de jure discrimination.


De facto discrimination, defined
as "in fact" discrimination, is conducted below the surface of legal activity, and is
more systematic and institutionalized. It involves preventing one group from receiving
equal protection of the law, as required by the 14th Amendment by way of secretive,
underhanded, and institutionalized maltreatment of a minority group. Discrimination in
housing, jobs, and education that goes undetected in the courts counts as de facto
discrimination. Such action is subject to litigation under numerous civil rights laws
passed in the 1960s and 1970s.

What happens if air is injected into a person's veins

When air is injected in to the veins, it leads to an air
embolism which is a condition where there is the formation of a bubble in the
bloodstream.


The problems due to an embolism can range from
pain, heart failure, damage to other vital organs and death. This happens as the bubble
does not allow the free flow of blood and organs are starved of
oxygen.


Usually, a few small bubbles of air while taking an
injection do not affect the body. Air embolism is the result of trauma or bigger medical
accidents where a large amount of air or other gases enters the vascular
system.

What is the particular role of Robert Ross in The Wars?

Your request is very general, so I will give you a very general
description of Robert's role.


Robert Ross is the protagonist in this
novel about the effects of war on humans. He is used to express the author's theme about
mankind's ability to behave morally and compassionately even when tested by the horrors of war.
Central to this theme is Robert's one year at the front in 1915-1916 when he was nineteen and
twenty. When he enlists, Robert desires to become a war hero, but it doesn't take long for him to
lose his beliefs in the glorification of war as he sees horrific events that force him to grow up
sooner than he should have. In the end, Robert is driven to committ what some believe is a
treasonous act. The author asks the reader to understand Robert's actions, thereby understanding
the actions of all  who are required to fight in any war.

Wednesday, July 18, 2012

In Ibsen's A Doll's House, does Nora's name have any symbolic meaning in the play?

In the context of the origins of the name "Nora," several
sources report that it is short for "Eleanora" meaning "light," and "Honora" meaning
"honor."


I have not found anything to indicate that that the author
purposefully chose this name for the protagonist. However, in Henrik Ibsen's
play, A Doll's House, these meanings may be used to contemplate a deeper
side of the character of Nora.


Nora can be seen as the light in
several ways. It is Nora's bustling and energetic personality that brightens up the room upon her
arrival in the opening scene. We see this when she is returning from Christmas shopping. Torvald
also might, arguably, be drawn to the light in her: he would not refer to her in such childish
terms (i.e., little bird, songbird) if she was something that was not bright and cheerful. Even
the dying Dr. Rank is attracted to Nora, much like an moth to a flame. There is warmth and
comfort to be found in her presence. When Nora leaves in the end, it is very much as if the light
has gone out of the house and Torvald's life. He
laments:



Empty. She is
gone.



In terms of honor, we see
clearly that Nora is an honorable woman. She took money illegally to save Torvald's life. She is
extremely agitated when she believes that she might be a poor mother to her children because of
this act. Nora is worthy in her respect of Dr. Rank's wish that he be left alone at the end to
die. (Torvald, Rank's "best friend," secretly infers he has little regard for the other
man.



[in a
fretful whisper]. Oh
, what does [Rank] want now? (Act
III)



Rank knows death upsets Torvald
and doesn't want him around, and Torvald agrees without hesitation.) Nora is noble with regard to
her commitment to be a good wife, loving and caring for family even before her own good. She
wants very much to protect Torvald from any repercussions based on her business dealings with
Krogstad, even contemplating suicide, insisting to her
husband:



Let me go. You
shall not suffer for my sake. You shall not take it upon yourself. (Act
III)



Finally, we might argue that
Nora's decision to leave at the end is a exercise as she honors herself, and all that she can
be.

What are the best quotes to show poetic devices in "My Last Duchess" (e.g alliteration, similies, etc.)?

In "My Last Duchess," the main poetic devices
are:


Verbal Irony: "She had A
heart--how shall I say?--too soon made glad,
Too easily impressed;" (How can being a
happy, charitable person be
bad?)


Symbolism: "my last Duchess
painted" (The Duke objectifies, reifies women as property, possessions); "smiles"; "hands";
"name" (The poem pits male jealousy and reputation "name" against suspected female
promiscuity)


Imagery: body imagery
("hands"); auditory ("speech"); gender
("breast")


Metaphor: " My favor at her
breast, The dropping of the daylight in the West,"


Sound devices
(Prosody) are:


Rhyme scheme: AABB
("call" / "wall")


Euphony: "faint Half
flush"


Cacaphony: ""Which claus of
Innsbruck cast in bronze"


Alliteration:
"Notice Neptune"


Sibiliance: "she
stands"; "such stuff"


Assonance: "E'en
then"; "We'll meet"

Describe the major differences between Roman Catholicism and Orthodoxy.

Following the Holy Fathers, Orthodoxy uses science and
philosophy to defend and explain its Faith. Unlike Roman Catholicism, which does not
build on the results of philosophy and science. The Church does not seek to reconcile
faith and reason. The Catholic church also categorizes the authority of the clergy,
while The Orthodox Church teaches that all bishops are equal. To be sure, there are
different ranks of bishops (patriarch, archbishop, metropolitan, bishop); nevertheless,
a bishop is a bishop.

Tuesday, July 17, 2012

Solve the inequality (2x-1)(x+2)

We'll conclude that a product is negative if the factors
are of opposite sign.


There are 2 caes of
study:


1)  (2x-1) <
0


and


      (x+2) >
0


We'll solve the firts inequality. For this reason, we'll
isolate 2x to the left side.


2x <
1


We'll divide by 2:


x
< 1/2


We'll solve  the 2nd
inequality:


    (x+2) >
0


We'll subtract 2 both
sides:


x > -2


The
common solution of the first system of inequalities is the interval (-2 ,
1/2).


We'll solve the second systemof
inequalities:


2)  (2x-1) >
0


and


      (x+2) <
0


2x-1 > 0


We'll add 1
both sides:


2x > 1


x
> 1/2


     (x+2) <
0


x < -2


Since we don't
have a common interval to satisy both inequalities, we don't have a solution for the 2nd
case.


So, the complete solution is the
solution from the first system of inequalities, namely the interval (-2 ,
1/2).

In King Henry the Sixth, Part One, Act II, scene v, I am quite confused about the metaphors in lines 1 - 18. Could you explain it in clear terms?

In this scene, Mortimer makes his first and only
appearance in the play.  He is the King's cousin, and, at the opening of the scene, is
setting the stage for the audience as to his condition -- He is dying in
jail.


He refers to his jailer as the "keeper of [his] weak,
decaying age," and asks that they let him rest.  He compares the state of his "limbs"
(arms and legs) to a man who has just been tortured and stretched on a "rack", this the
result of having been in prison for so long.  He compares his hair to a herald
announcing his death (because of their color) and also refers to them as being
"Nestor-like."  Nestor was a Greek king who lived three lifetimes, agian emphasizing his
own advanced age.


His "eyes," he compares to "lamps" that
have no more "oil" (ie, no more light in them); his "shoulders" have been bent over with
"grief;"  his arms are as the "wither'd vine/That droop sapless branches to the ground;"
and his "feet" are "numb" and "unable to support this lump of clay [his
body]."


All of these metaphors are meant to give the
audience the image of how old, tired and at the very last breaths of his life on earth
Mortimer is.  This teetering on the precipice of death is a great suspense builder as he
prepares to address the King.  The question is planted in the audience's mind -- "Will
Mortimer live through the telling of his story???"

Monday, July 16, 2012

In Macbeth, why doesn't Lady Macbeth kill the king herself?

There are a few reasons why Lady Macbeth does not kill
King Duncan herself.  First, in Act 2, Lady Macbeth says that the king resembles her own
father, so therefore she cannot kill him.  More importantly, however, Lady Macbeth as a
woman must follow the social conventions of her time.  Earlier in the play, she prays to
the spirits and asks that they "unsex" her so that she might have enough cruelty to help
Macbeth go through with the murder.  As a woman, she is supposed to be innocent and
good-natured, so obviously committing murder does not fall into this persona.  When
Duncan is found dead by Macduff, Lady Macbeth faints and has to be carried out of the
room.  This is ironic because she is certainly aware that the king is dead; she must
faint in order to play the part of the "gentle lady" that is expected of
her.

If a motor has a speed of 1500 rpm, how could we reduce its speed to 300 rpm?

Here, you have not specified whether it is an AC motor or a DC
motor you are talking about.


For a DC motor the speed of the motor
can be controlled by changing the input voltage. If the motor is designed to rotate at 1500 rpm
for a voltage Vmax, if we apply a voltage Vmax/5, the angular velocity becomes 1/5 and is equal
to 300 rpm.


An AC motor's speed is more difficult to control and the
way is dependent on what type of AC motor we are referring to.


For
both the motors, the angular speed can also be altered with the use of gears. In this case we
would need two gears, one with X spokes fixed at the shaft of the motor and a gear linked to this
gear and which has 5X spokes rotates at 300 rpm.

Sunday, July 15, 2012

Do we accept as coming from Fitzgerald himself Nick's pronouncement that Gatsby is worth the rest of the others?

Readers may differ in their response to this question, but
I believe that Nick is right.  And I believe that Fitzgerald leads us to accept this
conclusion. Gatsby is a flawed character.  He obtained his money through illegal or at
least shady deals.  He associated with people such as Wolfshiem who was responsible for
throwing the World Series.   He engages in adultery with Daisy.  He is a socially
awkward hopeless romantic.


Yet, the fact that he is willing
to take the blame for Daisy's hit and run accident that resulted in Myrtle's death and
that he is willing to stand watch just in case Tom reacted violently toward Daisy puts
him a cut above the rest.  He is not as selfish as either of the Buchanans who seem to
do nothing unless it is in their self interest as well as Jordan who cheats at golf and
lives off the generosity of others.  Yes, I would put Gatsby above the rest.  But that
is not saying much.

I need help with my A Thousand Splendid Suns essayIn my English class, we were required to read A Thousand Splendid Suns; she has now assigned an...

This is a pretty good start for your paper.  It is my
thought that you should give specific examples as to how Mariam is constantly
disappointed by the men in her life.  Her father, her husband, her husbands friends. 
The comparison can also be drawn as to the country of Afghanistan and how she, as a
nation continues to endure the ravages of political wars and invasion by other
countries.    You can compare Miriam with Laila.


readability="9">

"The two main characters are Mariam and Laila.
Mariam is a more traditional woman, raised ten years or so before Laila. Mariam is also
more subservient than Laila, having had little education and a mother who constantly
berated her."



Look at the
differences between the lives of the two women but also look at the way they are alike. 
Even though both women are abused, they each handle that abuse in totally different
ways.  Then consider what happens to Mariam and to Laila.  Consider what happens to
Afghanistan and how the survival of the nation is much like the survival of the strong
willed woman. Also consider the daughter and how she is even more strong willed as a
young woman that her mother ever was. 


I have included
several links which I hope will be helpful for your research.  Good
luck.

Goldstein says that the war being waged against another superpower is not the real war. What is the real war?

Goldstein says that war's purpose is to perpetuate
hysteria, ignite anger and hatred, and control the population.  Fear keeps the masses
somewhat in control.  By keeping the people aware of their enemies, the government keeps
people's focus of fear, anger, and hatred on that enemy.  People spend their energies on
hating the opposing forces and have no energy to focus on the government. War also gives
the masses a job.  Soldiers are needed constantly because there is always a state of
war.  Not only are soldiers needed to fight the wars but people are needed to man the
factories that make items of warfare - weapons, tanks, etc.  War is good for the economy
in that it provides so many jobs.  Employment keeps the people happy because they are
making some money (though in "1984", people's income was just high enough to sustain
them with little left over for frills).  Employment, especially jobs that require lots
of overtime, keeps the people tired.  Tired people don't have the energy to do much more
than work, eat, and fall asleep so they can wake up and go to work again.  War keeps
people content and controlled.  The real war, then, is the war that the government
perpetuates in order to control the population.  In "1984", control of the masses is the
goal of the government.

Describe the economy of the antebellum South.

The economy of the antebellum South was centered on plantations
whose workforce was largely made up of slaves. These plantations mostly produced "staple" crops.
These are crops that are grown in bulk to be sold. This sort of a system contrasts with one in
which smaller amounts of many more crops, mostly meant for local consumption. In the South, for
example, most plantations produced cotton rather than a variety of kinds of
foods.


This was important for two reasons. First, it meant that the
South never really industrialized. Southern capital was tied up in land and slaves and could not
be used to create factories and technology. Second, it meant that the South was an unequal
society. The owners of large plantations made up an aristocratic elite who saw themselves as
superior to the rest of the society.


Thus, the economy and society
of the South were shaped largely by the fact that the South depended on plantations growing
staple crops for export.

Explain defence of person and property.

I assume that you are asking about the legal doctrine of
self-defense.  Under this doctrine, a person is allowed to use force (even up to force that ends
up killing someone else) in defending themselves or other people around them (or their
property).  A person who harms or kills someone in reasonable self-defense cannot be charged with
a crime.


There are limits on this right, however.  Basically, the
person acting in self-defense must generally have a reasonable cause to fear that they (or the
people they are defending) are going to be seriously harmed by another person.  In other words,
you cannot shoot someone because they look like the kind of person who might murder you. 
Similarly, you cannot shoot someone who you see picking your cell phone up off your front porch
and walking away.  But you can shoot them if they are coming towards you holding a knife in a
threatening way.


Please be aware that different jurisdictions have
different laws on this and that this explanation is simply a general discussion of the
idea.

Saturday, July 14, 2012

In Othello, what sort of person does Iago criticize and what kind of men does he admire?

Iago's interest, in the play, is in the specific people he
interacts with and whether he has had preferential treatment or not.  And, overall, his interest
is in himself.  As I describe below, he does have at least one moment where he seems to discuss
the sort of man he admires, but it really boils down to admiration of
himself.


He criticizes both Othello and Cassio in  Act I, scene i,
but it is easy to see that it isn't because of the sort of people they are.  It is true that he
speaks of Othello as "The Moor," lumping him into a racial group rather than speaking of him by
his individual given name, and he slights Cassio's experience in talking about his promotion by
Othello, but he says very clearly that his interest in all in his self, so these comments must be
viewed as only relating to the personal slight Iago feels in regards to these characters, rather
than being a general comment about the types of persons Othello and Cassio
are.


In Act I, scene i, in his speech beginning at line 41, he does
mention that "honest" men who follow their masters (or leaders) simply because that is the
protocol, are, basically, chumps.  He says that every man should look out for himself, regardless
of who he has pledged to follow.  He says:


readability="20">

Whip me such honest knaves:  others there
are,


Who. . .


Keep yet their hearts
attending on themselves,


And throwing but shows of service on their
lords,


Do well thrive by 'em, and when they have lin'd their
coats,


Do themselves homage. . .


And
such a one do I profess myself



And so,
even though Iago has allied himself with some other types of men he could be said to admire, it
is really himself that he admires and himself that he looks out
for.


For more on Iago and Act I, scene i, please follow the links
below.

Describe author's syntax.

Good question!


It is a double
entendre, that is, it has a double meaning.


By stating the
phrase "Soldier's Home", Hemingway is saying that:


a) He
will be talking about the home of the soldier.


b) He will
be talking about the fact that the soldier is back.


The
story talks about both things: The soldier is home, and we get to see the dynamics of
the household once he gets there.


We know that, in the
story, the soldier IS at his house but he is not "at home" as nobody understands the
situation from which he has just surfaced from. Everyone evades him, and they refuse to
understand him.


Hence, it is an ironic title to call it
that way because the soldier is neither at home nor does he really have a home where he
can feel at ease to understand his circumstances. One more instance of Hemingway's
genius!

In the movie,"AND THE BAND PLAYED ON" why were the blood banks slow to start screening donors for HIV?

The blood banks were slow to start screening donors for HIV
because the correlation had not yet be made between the connection of HIV transmission through
the donation of blood products until almost three years after the first cases were reported. When
the first cases broke out circa 1981, it took a lot of happening for it to be decided that it was
a blood-borne pathogen that could be transmitted. As of that point, it was thought of that
only homosexual males were carriers of the disease.


It was almost
2-3 years until new and diverse cases began to be looked at with more clarity. This happened, for
example when the patients diversified and were not only homosexual males but also drug patients
addicted to needle drugs. After that children and women became victims as well and that's when
the connection was finally made. So, in all, it was a combination of lack of knowledge with lack
of evidence that would conclude that there was a need for screening.

What is each angle of the following triangle? The largest angle of the triangle is 6 times as large as the smallest angle. The third angle is...

The smallest angle  of the triangle is assumed to be
x.


Since largest angle is 6 times the smallest angle, the
largest angle = 6x.


The other angle is greater than the
smallest bt 30 degree. So the other angle has to be x+3
dgree.


The therefore , the sum of the 3 angles = x+6x+x+30
= 8x+30.


Also the sum of the 3 angles of the is 180 degree.
Therefore 8x+30 = 180 deg.


So 8x = 180-30 =
150.


Therefore x = 150/8 = 18.5 deg is the smallest
angle. 


The largest = 18.75/6 = 112.5
deg.


The 3rd angle = x+30 = 18.75+30 = 48.55
deg.

What makes the narrator angry with her husband in "The Yellow Wallpaper"?

For the most part, the narrator is angry with her husband
because he treats her like a child. The husband's belief that his wife needs "rest" because of
"nerves" angers the wife in a couple of ways. The first is that such an attitude denies that
there is something fundamentally wrong with the wife. She believes that there is something that
is not right with her mind and such a condition requires a form of gravity and seriousness that
goes beyond the idea that "rest" is all that's needed. The husband's attitude feeds the larger
issue of a paternalism that refuses to acknowledge his wife's voice. When she wants to go outside
or write in a journal, the husband rejects these, stressing that the wife is not to any of these.
The denial of voice, deliberate or unintentional, that the husband demonstrates to the wife is
reason enough for her anger towards him.

In A Doll's House, what is the significance of Dr. Rank's death?

If we are thinking about the play as a whole, Dr. Rank is an
interesting character who supports the idea presented through the Helmer family that there is
always retribution for past deeds. Notice how in Act 2, when he confesses his love for Nora but
also his illness of which he is dying, he says:


readability="7">

In every single family, in one way or another, the same
merciless law of retribution is at
work.



This is of course true for Dr.
Rank - he has been impacted tremendously by his father's legacy of corruption and deviance, even
to the point of inheriting his syphilis, and is now slowly and painfully dying. But also this is
true for the Helmer family, because Nora's borrowing money secretly without her husband knowing
and her forgery are threatening the very foundations of her
marriage.


The death of Dr. Rank therefore suggests that there is no
escape from the consequences of such actions - there must be a price to pay somewhere along the
line. Nora cannot go through life thinking that her problems will magically disappear without
those consequences. It is therefore highly symbolic that the letter from Dr. Rank telling Nora he
is near death arrives at the same time as Krogstad's letter.

Friday, July 13, 2012

Determine the real numbers a, c if the points (1;2) and (0;3) are on the graph of f(x)=ax^2+x+c.

If the graph of the function f(x) is passing through the
given points, then the coordinates of these points have to verify the expression of the
function.


The point A(1 , 2) is on the graph if and only
if:


f(1) = 2


We'll substitute
x by 1:


f(1) = a + 1 + c


a +
1 + c = 2


The point B(0 , 3) is on the graph if and only
if:


f(0) = 3


We'll substitute
x by 0:


f(0) =
c


c =
3


We'll substitute c = 3
in:


a + 1 + c = 2


a + 1 + 3 =
2


We'll subtract 4 both
sides:


a = 2 -
4


a =
-2


The expression of f(x) is:
f(x) = -2x^2 + x + 3

Find dy/dx if x^5 + 4xy^3 – y^5 =2

To find dy/dx if x^5 + 4xy^3 – y^5 =
2.


The relation between x and y in this equation is
implicit. In such cases we straight away differentiate term by terrm and  try to get
dy/dx by solving for dy/dx  from the
equation.


Differentiating both sides of the given equation
with respect to x, we get:


(x^5 + 4xy^3 – y^5)'
=(2)'


(x^5)' + {4xy^3}' – {y^5}' =
0


{x


5x^4 +{4(x)'y^3
+4x(y^3)'}-{5y^4*dy/dx} = 0.


5x^4+4y^3
+4x*3y^2dy/dx-5y^4dy/dx = 0. We try to solve for dy/dx from this
equation:


5x^x+4y^3 +{12x^3y^2 - 5y^4) dy/dx =
0


(12x^3y^2-5y^4)dy/dx.


Divide
both sides by the coefficient of dy/dx, that is,
12x^2-5y^4.


dy/dx = -(5x^4+4y^3)/(12x^3y^2-5y^4).
Or


dy/dx =
(4y^3+5x^4)/(5y^4-12x^3y^4)

What are two examples of Perpeteia in Oedipus the King? Line numbers would be appreciated.

Peripeteia or a "reversal" or turning
point" occurs throughout the story innumerable times. Even in the very beginning by
sending Creon to the Oracle at Delphi, Creon returns with bad news that Oedipus doesn't
want to listen to. Also, Tiresias knows everything already but has tried to make himself
forget. By Oedipus accusing Tiresias of being in a conspiracy with Creon, turns the play
deeper and deeper into Oedipus'sdarkness. Oedipus even subconsciously realizes that he
is probably part of his own downfall when others mention bandits killed Laius and
he repeats "bandit" as singular, twice. Also, Jocasta is quick to learn of the situation
and tries to stop Oedipus from revealing any more part of the story of how he was found
on the hilltop and rescued.

Thursday, July 12, 2012

How an anti-Indian typical British outlook is projected in the character Mr Turton ?

Mr. Turton is not an awful sort.  He is shown to be a
typical British person in India.  He is not really concerned with getting to understand
the different culture that India is.  Rather, he is more animated by the idea of being a
"little god" of India.  He is not like Fielding in that he seeks to establish bonds with
those in India.  He is a representative of England, of "the Queen," and carries himself
as such.  He does represent an anti- Indian perspective in that he only wishes to know
Indians who accommodate themselves to the British manner and demeanor.  The "bridge
party" is a great example of that, as it does not feature the diverse and eclectic
nature of the people who live on the subcontinent.  Rather, it is a collection of "pre
approved" Indians.  Turton would represent the Anti- Indian attitude projected
throughout the British Raj because he demonstrates little in way of seeking to broaden
the connection and understanding between both groups.

Solve: x+y+ 4z = 6, 3x +2y +z =4 2x+ 2y + z =9 If the roots of the equation ax^2 + bx + c are 6 and 5 what are values of a and b?

Since the given equations of the system are all linear
equations, we'll solve the system using another
method.


We'll calculate the determinent of the system. The
determinant of the system is formed from the coefficients of the variables, x, y and
z.


We'll note the determinant as det
A.


             1   1   4


det
A =  3   2   1


              2   2  
1


We'll calculate det A:


det A
= 1*2*1 + 3*2*4  + 1*1*2 - 4*2*2 - 2*1*1 - 3*1*1


det A = 2
+ 24 + 2 - 16 - 2 - 3


We'll eliminate and combine like
terms:


det A = 7


Now, we'll
calculate the variable x using Cramer formula:


x = detX /
detA


Det X is the determinant whose column of coefficients
of the variable that has to be found (in this case x) is substituted by the column of
the terms from the right side of the equal (6 , 4 ,
9).


            6   1   4


det
X = 4   2   1


            9    2  
1


det X = 6*2*1 + 4*2*4 + 1*1*9 - 4*2*9 - 6*2*1 -
4*1*1


We'll eliminate like
terms:


detX = 32 + 9 - 72 - 12 -
4


det X = -47


x =
detX/detA


x =
-47/7


            1   6  
4


det Y = 3   4  
1


             2   9   1


det Y
= 4 + 108 + 12 - 32 - 9 - 18


y =
detY/detA


y =
65/7


We'll calculate z substituting the
values of x and y into the first equation:


x+y+ 4z =
6


4z = 6 - x - y


z = (6  -x -
y)/4


z = (6 + 47/7 - 65/7)/4


z
= -12/7*4


z =
-3/7

find f(x) if f'(x) = 3x^2 - 5x + 3

We know that F'(x) = f(x), where Int f'(x) dx =
f(x).


We'll apply the indefinite integral to the expression
of f(x):


Int f'(x) dx = Int (3x^2 - 5x +
3)dx


We'll apply the additive property of indefinite
integrals:


Int (3x^2 - 5x + 3)dx = Int 3x^2dx - Int 5xdx +
Int 3dx


Int 3x^2dx = 3x^3/3 +
C


We'll simplify and we'll
get:


Int 3x^2dx = x^3 + C
(1)


Int 5xdx = 5x^2/2 + C
(2)


Int 3dx = 3x + C (3)


We'll
add  (1),(2),(3):


f(x)
=  (1)+(2)+(3)


f(x) = x^3 + 5x^2/2 + 3x +
C


Note: C+C+C = C (family of
constants)

In "Two Kinds", why were "Pleading Child" and "Perfectly Contented" referred to as two halves of the same song?

This is a great question! In this short story we have
observed the conflict between Jing-Mei and her mother from its highs to its lows. This
of course finds its climax in the piano recital and the bitter argument that happens
afterwards. At the end of the story we advance forward a few years to Jing-Mei as an
adult, after her, as she puts it, "failing her mother so many times", but each time
"asserting my own will, my right to fall short of expectations." It is when her mother
gives her the piano that Jing-Mei begins to change in her attitude. She describes the
piano using an interesting metaphor, "a shiny trophy", because she had won it on her own
terms and not her mother's.


At the end, Jing-Mei receives
the piano and she beings to play "Pleading Child" again. The last paragraph is worthy of
some serious analysis:


readability="11">

And for the first time, or so it seemed, I
noticed the piece on the right-hand side. It was called "Perfectly Contented." I tried
to play this one as well. It had a lighter melody but the same flowing rhythm and turned
out to be quite easy. "Pleading Child" was shorter but slower; "Perfectly Contented" was
longer but faster. And after I played them both a few times, I realised they were two
halves of the same
song.



Jing-Mei realises that
just as these two pieces of music go together inseparably, being "two halves of the same
song", so in her life, the stage of "Pleading Child", which interestingly is described
as short but slow, is inextricably linked to "Perfectly Contented", which was longer and
faster. Jing-Mei, through her childhood was the "Pleading Child", wanting her mother's
attention and praise, and now, as an adult, she has reached the stage of being
"Perfectly Contented", knowing who she is as an adult and being happy in her identity.
However, what she realises is that she can't have one without the other - both are
irreplaceable parts of life's journey.

Wednesday, July 11, 2012

How does our own personal context give meaning to/alter the landscape?For example, how do the beliefs and values of aboriginals alter their view of...

This is such an interesting question!  Let's talk about
the aborigines and a few other examples of how personal context makes a
difference.


Aboriginals, traditionally, are hunters and
gatherers, and they have religious beliefs that are strongly rooted in the land and its
natural features.  This means that the landscape has meaning to them that is not
necessarily the same meaning that a person raised in a city, for example, would
find.


If the land is what supports a group, through hunting
animals and gathering plants, the people in that group perceive the entire landscape as
a food source, which means that while others might see a beautiful meadow, the aborigine
is likely to be seeing or looking for animals to slay or plants to eat.  People who buy
their meat and vegetables at the supermarket do not usually look at a landscape  like
this!


The aboriginal religious beliefs include a belief in
beings who created the landscape, beings whose manifestation is in the landscape itself.
This means that the entire landscape is "worshiped" as a representation of deities. 
This makes "place" central in the beliefs of the
aboriginal.


This might seem like a very different way of
viewing things, but our preferences make all of us view things differently.  To give you
a personal example, my father was an electrical contractor for over 50 years.  I am
someone who loves to admire trees and flowers.  When my father looks at a street, what
he sees is the wires between the trees, cables leading into houses, and the design of
the street lights.  What I see is trees and flowers.  Each of us is viewing the
landscape through a personal context.  Can you think of any examples of the way you and
others view your landscape differently?

How is Anne&#39;s goal of wanting &quot;to go on living even after my death&quot; fulfilled in Anne Frank: The Diary of a Young Girl?I didn&#39;t get how it was...

I think you are right! I don't believe that many of the Jews who were herded into the concentration camps actually understood the eno...