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Anthem“It is a sin to write this.” Writing is a very personal experience, especially if you are writing in a diary or journal like Equality is in the opening of the novel, Anthem. He is writing down...

Eusebius of CaesareaWhy is the reliability of church historian Eusebius' The Life of Constantine doubted and how does...Eusebius of Caesarea (260/265 – 339/340 AD) is sometimes called "the father of church history". In addition to his Life of Constantine, he also wrote the Ecclesiastical History, which is the...

HistoryArticle VI of the United States Constitution states that any debts that the United States held before the creation of the Constitution, or during the Articles of Confederation, remain valid under...

Tickets, PleaseIn the story, passengers are reluctant to dismount their coaches because they do not relish the idea of waiting for another tram while stranded outside in the cold. Furthermore, the unrelenting...

HistoryKipling views European imperialism as a necessary burden that must be undertaken. His view is skewed by ethnocentrism and racism. In Kipling's view, Asians, Africans, and Latin Americans are an...

LiteratureWhat are some different ways in which white people treat AfricanAmericans in Beloved, and how do...In Beloved, the main character, Sethe, an escaped slave, has varying relationships with and reactions to white people. For example, Amy Denver is a white woman who helps Sethe escape and who notes...

HistoryThe Declaration of Independence and subsequent creation of the United States destabilized and weakened many Indian nations near the thirteen colonies. The British Empire had largely prevented...

MacbethFirst, when Banquo and Macbeth receive the Weird Sisters' "prophecies," Banquo's response is characteristically artless. Although Macbeth seems to believe them without question, and is further...

HistoryFrance decided to the sell the Louisiana Territory to us in 1803. The Louisiana Purchase doubled the size of country extending the land we controlled from the Atlantic Ocean, west to the Rocky...

HistoryIn the scope of human history, there have been countless world leaders driving war, profiting off poverty, slaughtering innocent civilians, and poisoning minds with racism, homophobia, sexism,...

ScienceSubstances can be classified as either element, compound or mixtures. Elements are the purest form of substances, since they contain only one type of atoms. Examples of elements include, iron,...

To Kill a MockingbirdA character's personal objects and treasures say a lot about his or her personality. For Scout, some of those objects include her overalls, her air rifle, and the objects she receives from Boo...

HistoryAs the first president, nearly every issue George Washington dealt with required him to invent the solutions, as no precedents existed and the the practical responsibilities of the presidency were...

MathHello! If we could split boys and girls into n teams, and b boys and g girls will be in each team, then obviously `nb=48` and `ng=60.` Therefore `n` divides 48 and `n` divides 60, or the same may...

The Minister's Black VeilMr. Hooper gives Elizabeth two reasons to stay by his side. First, he says, "'[...] hereafter there shall be no veil over my face, no darkness between our souls! It is but a mortal veil  it is...

To Kill a MockingbirdWhat is an example in To Kill a Mockingbird of when displaying courage revealed someone's character?Some important examples of people showing courage are Jem’s pants, Mrs. Dubose’s morphine addiction, and Atticus's defense of Tom Robinson Integrity is an important concept in the book. As the...

Through the TunnelI think the following quote best illustrates Jerry's impatience. “I want some swimming goggles,” he panted, defiant and beseeching. She gave him a patient, inquisitive look as she said...

Romeo and JulietJuliet cannot live without Romeo and is tormented by guilt at causing his death. Juliet kills herself because the play is a tragedy. These two teenagers are very melodramatic. We are told in the...

Walt WhitmanToday in America we would probably say “Blades of Grass,” but the metaphor speaks to the infinitude of things – stars, individual leaves, individual blades of grass, individual grains of...

ReligionRowe has little to say about the sacraments in chapter 5, although he does mention that showing the sacramental bread during processions was one way the medieval church offered people "real...

ReligionAccording to Rowe in chapter 5, the essence of Jesus in the Middle Ages was found in the art, music and drama of that period, and not in "political and military power struggles." If we want to find...

MacbethOver the course of the play, we witness Macbeth's rapid descent into almost pure evil. Shakespeare presents Macbeth at the beginning of the play as a good man, a "worthy kinsman" according to his...

Animal FarmThe flag that is flown in Animal Farm is first introduced in chapter three. This inaugural flying represents the life the animals dreamed about while toiling under the abusive human rule. The flag...

Lord of the FliesThroughout Golding's Lord of the Flies the boys on the island struggle with power both internally and externally. He uses the characters and the dynamics between the boys in order to illustrate how...

The CrucibleAt the beginning of Act Two, John and Elizabeth Proctor briefly discuss their servant, Mary Warren, who has been participating in the witch trials. When Elizabeth tells him that Mary Warren has...

A Christmas CarolScrooge begins to care about other people in Stave Three. At the beginning of Stave Three, Scrooge has already begun to change. The journey into his past demonstrated to him that he chose to be...

Lord of the FliesWith the background setting of Lord of the Flies as World War II, the British plane, in which English schoolboys are probably being evacuated from the cities because of the Nazi bombings, crashes...

ScienceGlucose is an organic compound with mixed functions (carbonyl and more hydroxyl groups). The elemental analysis shows that glucose is an hexose `C_6H_12O_6` and the analysis of functional groups...

Wild Swans: Three Daughters of ChinaJung Chang's grandmother, Yufang, was the first in the generation of three daughters. This woman experienced severe hardship and turmoil at an early age. When she was two, her feet were bound to...

The Merchant of VeniceIf, as has been suggested, William Shakespeare adapted his play The Merchant of Venice from that of his prematurelydeceased contemporary Christopher Marlowe’s The Jew of Malta (also known more...

The Kite RunnerWhile Amir and Hassan grow up as close as brothers, differences in ethnic group, religious belief, and economic status cause rifts between them. Their relationship is preceded by that of their...

All My SonsArthur Miller is making a statement about achieving the American dream through Joe Keller who will do anything to obtain it. Joe, a manufacturer of airplane cylinder heads, knowingly ships out...

The OdysseyThe most obvious law of behavior that Polyphemus violates is hospitality. In Ancient Greece, and much of the rest of the ancient world, hospitality was much more important. Journeys took much...

To Kill a MockingbirdFirst, I want to be clear that it was Nathan Radley, Boo's father, who put cement in the knot of the tree outside of the Radley home. Although he claimed to Jem and Scout that this was because the...

MathYou need to use the substitution `2y = u` , such that: `2y= u => 2dy = du => dy= (du)/(2)` Replacing the variable, yields: `int y*e^(2y) dy = (1/4)int u*e^u du` You need to use the...

Math`int_1^sqrt(3)arctan(1/x)dx` If f(x) and g(x) are differentiable functions, then `intf(x)g'(x)dx=f(x)g(x)intf'(x)g(x)dx` If we write f(x)=u and g'(x)=v, then `intuvdx=uintvdxint(u'intvdx)dx`...

Math`int_0^(1/2)cos^(1)xdx` Let's first evaluate the indefinite integral by using the method of integration by parts, `intcos^(1)xdx=cos^(1)x*int1dxint(d/dx(cos^(1)x)int1dx)dx`...

Math`int_1^2(ln(x))^2/x^3dx` If f(x) and g(x) are differentiable function, then `intf(x)g'(x)=f(x)g(x)intf'(x)g(x)dx` If we rewrite f(x)=u and g'(x)=v, them `intuvdx=uintvdxint(u'intvdx)dx` Using the...

MathYou need to use the substitution `sin x = t,` such that: `sin x = t => cos x dx = dt` Replacing the variable, yields: `int cos x*ln(sin x) dx = int ln t dt` You need to use the integration by...

Math`int_0^1r^3/sqrt(4+r^2)dr` Let's first evaluate the indefinite integral using the method of substitution, Substitute `x=4+r^2, =>r^2=x4` `=>dx=2rdr`...

Math`int_1^2x^4(ln(x))^2dx` If f(x) and g(x) are differentiable functions, then `intf(x)g'(x)dx=f(x)g(x)intf'(x)g(x)dx` If we write f(x)=u and ` ` g'(x)=v, then `intuvdx=uintvdxint(u'intvdx)dx` Using...

MathYou need to use integration by parts, such that: `int udv = uv  int vdu` `u = e^s => du = e^s ds` `dv = sin(ts) => v = (cos(ts))/(1)` `int e^s sin (ts) ds = e^s*cos(ts)  int...

MathYou need to use the following substitution, such that: `sqrt x = t => (dx)/(2sqrt x) = dt => dx = 2tdt` Replacing the variable yields: `int cos sqrt x dx = int (cos t)*(2tdt)` You need to...

Math`intt^3e^(t^2)dt` Let `x=t^2` `dx=2tdt` `intt^3e^(t^2)dt=intxe^(x)dx/2` `=1/2intxe^(x)dx` Now apply integration by parts, If f(x) and g(x) are differentiable functions then,...

MathYou need to use the substitution `theta^2= t` , such that: `theta^2 = t => 2theta d theta= dt => theta d theta= (dt)/2` Replacing the variable, yields: `int_(sqrt(pi/2))^(sqrt pi)...

MathYou need to use the substitution `cos t = u` , such that: `cos t = u => sin t dt = du => sin t dt = du` Replacing the variable, yields: `int_0^pi e^(cos t)*sin (2t)dt = 2int_0^pi e^(cos...

MathYou need to use the substitution `1+x = t` , such that: `1+x = t => dx = dt` Changing the variable yields: `int x*ln(1+x) dx = int (t1)*ln t dt = int t*ln t dt  int ln t dt` You need to...

MathYou need to use integration by parts, such that: `int udv = uv  int v du` `u = sin(ln x) => du = cos(ln x)(1/x) dx` `dv = 1 => v = x` `int sin(ln x) dx = x*sin(ln x)  int (cos(ln x))/x...

MathYou need to use the substitution `beta*t = u` , such that: `beta*t = u => beta dt = du ` Replacing the variable, yields: `int t^2*sin(beta*t) dt = 1/(beta^3) int u^2*sin u du` You need to use...

Math`int ln (root(3)(x)) dx` To evaluate, apply integration by parts `int udv = uv  int vdu` . So let `u = ln (root(3)(x))=ln (x^(1/3))=1/3ln(x)` and `dv = dx` Then, differentiate u and integrate...