# is the protagonist a hero?

**GUIDE TO LITERARY TERMS**

The protagonist of a literary work is the central character, and, as such, he/she initiates or drives the action. However, the protagonist may or may not be the hero of the narrative; in fact,…

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**MATH**

Given that sin^2 x = 1/4 We need to find x. First we will take the square root for both sides: ==> sin(x) = +- 1/sqrr2 = +-sqrt2/2 Now we know that x = pi/4 ==> When sin(x) = sqrt2/2 ==> x…

**MATH**

**Calculate the indefinite integral of x*e^3x.**

We’ll integrate by parts. For this reason, we’ll consider the formula: Int udv = u*v – Int vdu (*) We’ll put u = x. (1) We’ll differentiate both sides: du = dx (2) We’ll put dv = e^3x (3) We’ll…

**MATH**

**Prove that arcsinx + arccosx = pi/2 .**

Take a right triangle with the hypotenuse equal to 1. Now let one of the other sides be equal to x. If the third side is s, s^2 + x^2 = 1 => s^2 = 1 – x^2 => s = sqrt (1- x^2) Now for the…

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**MATH**

**Verify if the lines 2x-y+2=0 and x+y-4=0 are parallel.**

Given the lines : 2x – y + 2 = 0 x + y -4 = 0 We need to verify if the lines are parallel. First. we need to rewrite the equations into the slope form y= ax+b ==> 2x – y + 2 = 0 ==> y= 2x + 2…

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**ODE ON A GRECIAN URN**

**Mark the syllables, separate the feet with short vertical lines, and indicate the rhyme scheme of…**

The previous poster is correct, of course, about the meter. The overall meter is iambic pentameter. “Pentameter” means that there are five metric feet per line (“penta-“ means five, as in…

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**BUSINESS**

**What does the staffing process consist of?**

The staffing process begins with identifying the requirement of people for the various departments and processes of the firm. This is followed by inviting applications from prospective candidates…

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**LAW AND POLITICS**

**In what federal courts would you be tried for capital murder in the United States?I am analyzing…**

If you are looking only at the federal court system, a person can only be tried for capital murder in a federal district court. If a person’s case is appealed (either by the defence or by the…

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**MATH**

**What is the vertex for y = 8x^2 + 4x – 3?**

The vertex of a quadratic expression y = ax^2 + bx + c is given by ((-b/2a), (4ac – b^2)/4a) We have y = 8x^2 + 4x – 3 Here a = 8, b = 4 and c = -3 –b/2a = -4 / 2*8 = -1/4 (4ac – b^2)/4a =…

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**MATH**

We can find the values of log using tables, but you will not find tables for logs to all bases. Therefore we use the formula to convert the given log which is has a base 7 to a log with base 10….

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**MATH**

We have to simply e^ (ln 2 + 3 ln x) Here we use the properties that d^ (a + b) = d^a * d^b e^ (ln 2 + 3 ln x) => e^ (ln 2) * e^ (3 ln x) a log b = log a^b => e^ (ln 2) * e^ (ln x^3) Now for…

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**MATH**

**What are the LCM and GCF of 27, 90 and 84?**

To find the LCM and GCF of a set of numbers it is best if we first write them as product of prime factors. Now 27 = 3*3*3 90 = 3*3*5*2 84 = 3*2*2*7 For the greatest common factor GCF take the…

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**THE GREAT GATSBY**

**In The Great Gatsby in chapter 5, Nick opens the door for Gatsby, describing him as a…**

This section of the novel comes in Chapter 5, when Nick organises a meeting between Gatsby and Daisy finally. Gatsby is completely tense and preoccupied with this much-longed for meeting, and Nick,…

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**MATH**

**What is the integral of f(x) = 6x / (3x^2 + 4).**

It is given that f(x) = 6x / (3x^3 + 4) Let t = 3x^2 + 4 dt / dx = 6x => dt = 6x dx Int [6x / (3x^3 + 4) dx] => Int [dt / t] => ln t + C replace t with 3x^2 + 4 => ln (3x^2 + 4) + C…

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**MATH**

**The volume of a cone of height 8 cm is 96pi cm^3. What is the surface area?**

The volume of a cone is given as (1/3)*pi*r^2*h. Now we know h= 8 and the volume is given as 96*pi. Equating the two and substituting the values we have: (1/3)*pi*r^2*8 = 96*pi => r^2=96*3/8…

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**MATH**

**What is the derivative of y = sqrt (cos x) / x^2* sin x?**

We have to find the derivative of y = sqrt (cos x) / x^2* sin x Now an easy way to find the derivative here is to use the logarithm. take the natural logarithm of both the sides: ln y = ln [sqrt…

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**AS YOU LIKE IT**

**Which qualities of Ganymede have attracted Jaques to him in As You Like It?**

In As You Like It, Ganymede, the disguised male altar ego of Rosalind, is a mercurial version of her female self. Ganymede, the youth, is named for the young androgynous god from Greek mythology,…

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**ELIZABETH BARRETT BROWNING**

**Beloved, thou has brought me many flowers XLIV sonnet What main comparison is being made in this…**

I think that the main comparison being made is between flowers and the love the speaker has for the person being addressed. This is the main metaphor at work in this sonnet. The speaker is…

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**HISTORY**

**What caused the church to decline and no longer be people’s central focus during the…**

Essentially, what you are asking here is why the Renaissance happened — why did humanism take hold and why did people stop looking to God and the Church as the central focus of their lives….

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**CHEMISTRY**

**How are elements like palladium able to store hydrogen reversibly? What is the name of this…**

Hydrogen atoms can be stored using elements like palladium, platinum, etc. This process is called adsorption. It leads to the formation of the metal hydride. Using methods such as imaging with a…

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**RABINDRANATH TAGORE**

**What is the significance of the title “The Postmaster” by Rabindranath Tagore?**

I think that the significance of the title of Tagore’s short story works on both literal and symbolic levels. On one hand, the literal significance of the title reflects how life changed in the…

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**MATH**

**The function of velocity v (t) = 19t^2 – t. What is the difference between the acceleration at…**

The velocity function of the particle is v (t) = 19t^2 – t. Now the instantaneous acceleration is the derivative of the velocity function. Therefore acceleration is v’ (t) = 38t – 1. The…

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**MATH**

**What is the equation of the line perpendicular to x + 5y + 3 = 0 and passing through (4, 8)?**

The equation x + 5y + 3 = 0 can be written as => 5y = -x – 3 => y = (-1/5) x – 3/5 This is of the form y = mx + c, where m is the slope and c is the y-intercept. The slope of x + 5y + 3 =…

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**MATH**

**Express 4x/ (4x^2 – 9) as a sum of fractions.**

We have to express 4x/ (4x^2 – 9) as a sum of fractions. We see that 4x^2 – 9 = (2x – 3) (2x + 3) Let A / (2x – 3) + B/ (2x + 3) = 4x/ (4x^2 – 9) => [(2x + 3) A + B (2x – 3)]/ (4x^2…

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**THE OPEN BOAT**

**When is it evident that the point of view in Crane’s short story “The Open Boat” is limited to…**

The point-of-view in Stephen Crane’s short story “The Open Boat” is established in the first paragraph. The narration is in the third-person, and the narrator (to the extent that there is one)…

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**LAW AND POLITICS**

**How can the judicial branch check the powers of the other two branches?**

There is one main way that the judicial branch can check the powers of the other two branches in the American governmental system. That is through the power of judicial review. Judicial review is…

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**MATH**

**Is (x – 5) a root of x^4 – 3x^3 + x – 4?**

Denoting x^4 – 3x^3 + x – 4 by f(x), according to the remainder theorem if x – 5 is a root of x^4 – 3x^3 + x – 4, then f (5) = 0 Now, f (5) => 5^4 – 3*5^3 + 5 – 4 => 25*25 –…

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**MATH**

**Solve 5x + 3y = 14 and 8x + 13y = 8**

We have to solve for x and y using the equations: 5x + 3y = 14 … (1) 8x + 13y = 8 … (2) 8*(1) – 5*(2) => 40x + 24y – 40x – 65y = 112 – 40 => -41y = 72 => y = -72/ 41 5x + 3y =…

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**MATH**

**Find the point (x, y) equidistant from (1, 2), (5, 8) and (4, 3)?**

The point equidistant from (1, 2), (4, 3) and (5, 8) is the point of intersection of perpendicular bisectors between any two sets of points. For the points, (1, 2) and (4, 3) the midpoint is (5/2,…

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**HEDDA GABLER**

**In Hedda Gabler, why is Hedda considered a female Hamlet?**

The differences in character between Hedda Gabler and Hamlet, the Danish prince, are numerous and clearly evident to readers, but Ibsen’s tragic heroine shares some interesting similarities with…

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**NICE WORK**

**In Nice Work, David lodge tried to unite two worlds between whom “there is no sympathy”. To what…**

David Lodge has successfully pointed out to the reader the necessity to be aware of the existence of these two worlds, along the reading one can understand from the insights offered that one from…

**MACBETH**

**How does Shakespeare subvert his characters’ perception of gender roles in Macbeth?**

Shakespeare subverts his characters’ perceptions of gender roles through the pair of Macbeth and Lady Macbeth. The first article linked below presents the case that Lady Macbeth did not in fact…

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**CIRCLE OF FRIENDS**

**Jack Foley is a very selfish man agree or disagree? from Maeve’s Binchy novel “Circle of friends”**

He is incredibly selfish but also immature. He feels a great love for Benny which is evident throughout the novel and yet his own fleeting gratification overides his good sense. Yes he feels…

**PRIDE AND PREJUDICE**

**In Pride and Prejudice, Darcy has to come round to looking at the world from Elizabeth’s point of…**

The character of Fitzwilliam Darcy is meant to be passive and contemplative. This is the exact opposite of his counterpart, Elizabeth, who is the active and dynamic version of Darcy. This being…

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**THE FALL OF THE HOUSE OF USHER**

**How are both irony and symbolism used in supporting the theme of “The Fall of the House of…**

Clearly there seems to be a link between the two heirs of the House of Usher and the house itself, which is presented symbolically. The “mansion of gloom” is described by the narrator in terms that…

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**MAJOR BARBARA**

**How does Barbara rebel against traditional feminine roles in Major Barbara?**

Barbara in this excellent play rebels in lots of ways against the traditional feminine roles imposed on her and against the class that she has been born into. Note how she is born into an upper…

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**THE PORTRAIT OF A LADY**

**In The Portrait of a Lady, why does Isabel Archer turn away when Caspar Goodwood says, “We can do…**

It is at the very end of the novel when Caspar Goodwood–the persistent suitor whose love for Isabel Archer remains undiminished throughout the entire novel and Isabel’s marriage with Gilbert…

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**HISTORY**

**How did wartime alliances change due to the Cold War ideology that crystallized after WWII?How…**

To answer this question, simply think about who was allied with whom during the war and how those alliances changed after the war. During the war, it was the US, the USSR, Great Britain, and France…

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**HISTORY**

**Causes of the Civil WarCan it be argued that the genesis of the Civil war can be traced back to…**

I always try to make this case when I teach the class. I argue that the Chesapeake started out as a class-based society — one in which there were a few rich lording it over a lot of poor (many of…

7 educator answers

**TO A SKYLARK**

**Please give some similes in “To a Skylark” by Shelley.**

There are quite a few examples to choose from in this memorable poem. I will pick out some of the similes from the beginning of the poem and hopefully this will enable you to see how it is done so…

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**SAKI**

**What is the summary of “The Mouse” by H.H. Munro?**

This is one of Saki’s lighter and more purely humorous stories. It concerns a fussy and socially awkward man named Theodoric Voler and the difficulties he has when he is on a train and finds that…

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**HISTORY**

**How did the Declaration of Independence shape America’s outlook and conduct during the…**

I would say that the most profound impact of Jefferson’s writing was that it galvanized the Colonial cause for freedom. The way in which the Declaration of Independence was constructed on both the…

6 educator answers

**ESL/EFL/FLES/FOREIGN LANGUAGE TEACHERS**

**What might be a good suggestion for the following situation:I have some students who came from…**

This is a difficult question to answer given the lack of details of the full situation. I taught at one high school that had a very large ESL program. The native language of the majority of its…

6 educator answers

**TO KILL A MOCKINGBIRD**

**Can someone find specialized words in American culture and the practices of the Southern states…**

Harper Lee’s To Kill a Mockingbird certainly presents an accurate depiction of speech within the setting of the Deep South in the 1930s. Much of the dialect, in fact, is still prevalent today in…

1 educator answer

**THE PORTRAIT OF A LADY**

**After her visit to Ralph in England, does Isabel go back to Rome and to Osmond?**

In Henry James’ novel, The Portrait of a Lady, Isabel is portrayed as a strong independent woman who defies convention to follow her heart, choosing to remain independent and unmarried as long as…

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**BUSINESS**

**Explain the concept of diversification.**

For a firm, the concept of diversification refers to the process of moving the firm into new markets. In other words, diversification is a process by which a firm starts to sell new products or to…

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**ENOTES EDUCATORS GROUP**

**Christmas 2010What is everyone up to over the holiday? Along with the usual last-minute gift…**

I’m spending Christmas in Montana with my in-laws, who are, by some miracle of good fortune, the nicest people ever. The only problem with them is that they want me to learn to drive in snow and…

6 educator answers

**THE TAMING OF THE SHREW**

**Compare and contrast Katharina and Bianca in The Taming of the Shrew.**

The two sisters are of course used as foils for each other throughout this Shakespearian comedy. Katharina is presented as the “shrew” of the title, who is depicted as a woman who is constantly…

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**MATH**

**What are the coordinates of the point (x, y) such that the distance between (x, y) and (4, 2) is…**

In this problem we have to determine the point (x, y) that divides the line segment between (4, 2) and (8, 7) in the ratio 2:1 Now the coordinates of the point (x, y) that divides the distance…

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**NIGHT**

**In the novel, Night, what is the significance of Wiesel’s use of imagery; what is his purpose in…**

Eli Wiesel, in his novel, Night, uses vivid imagery in order to more accurately convey the horrific ordeals he, his family and other oppressed people suffered at the hands of the Germans in World…