Notes

One way to complete this sentence would be to say “had monopolies in the markets for hauling crops.” Farmers felt this was a major problem for them. During the late 1800s, farmers had serious economic problems. Most of their problems were actually caused by the fact that they were becoming too productive. They were producing too much, which cause prices to go down.  The farmers did not really want to admit this, however. Instead, they blamed the railroads, among other factors. The farmers felt the railroads had monopoly power over them. The farmers essentially had no choice but to send their crops to market on trains. There was not much, if any, competition on most short-line tracks that went through farm areas. Therefore, most farmers had to simply accept whatever price railroads charged to transport crops. Farmers felt the railroads could gouge them by charging high prices and that they, the farmers, had no recourse when this happened. They blamed much of their trouble on this monopo...

The period after World War I is called the Roaring Twenties in American history. It is a period that is marked by a sharp uptick in the American economy, especially with respect to manufacturing and investment.  The United States became a consumer driven economy. There was an attitude that prosperity was boundless. Americans began to use consumer credit to drive their purchases. In general, the Republican presidential administrations took a laissez-faire approach to big business and the economy. The decade was also a period of tremendous cultural conflict. The fear of communism and increase of immigrants during the decade led to a strong nativist sentiment. This xenophobia saw enrollment in the Ku Klux Klan escalate to historic levels. There was also a conflict between the secular portion of the population and a growing Christian fundamentalist movement. This is evidenced by the sensationalism of the Scopes Trial and the introduction of the Prohibition Amendment. The period was also on...

According to Merriam-Webster dictionary, culture is defined as the beliefs, customs, arts, etc. of a particular society, group, place, or time. These factors play an important role in shaping the identity of individuals that is depicted throughout the novel To Kill a Mockingbird . There are several scenes throughout the novel that depict young children using derogatory, racially charged comments. Cecil Jacobs announces to the schoolyard, " Scout Finch’s daddy defended niggers " (Lee 48). Francis Hancock tells Scout, " He’s nothin’ but a nigger-lover! " (Lee 52). Even Scout is subjected to Southern culture when she says, " Well, Dill, after all he's just a Negro " (Lee 122). Their negative beliefs and feelings towards African Americans are greatly influenced by the prejudiced society they grow up in. Children are not inherently biased towards race, but are influenced by their surrounding culture, which shapes their identity. Cecil Jacobs and Francis Han...

In chapter 16 of the book, we find out that there was a witness to the crime, Lorelle Henry, who claims that she saw two robbers arguing with Mr. Nesbitt and engaged in a physical altercation with him. According to her, the crime happened on December 22nd. This is stated on page 162 of the book when Ms. Henry says, "It was a few days before Christmas..." and again on page 165 when she says, "The 22nd of December. It was a Monday," in response to Ms. Petrocelli's question of whether she remembered the date that she witnessed the crime take place.  Close to the end of the book, on page 270, Steve reminisces about the past year. He references "last December" when the crime was committed, and thinks about what decisions he made during that time that may have led to him being arrested. During the trial, we know that it is June, because of the dates on the journal entries that Steve makes, but they hardly make mention of the date of the robbery except to ask...

The Hitchhiker's Guide to the Galaxy  is a very unique book. It's random, absurd, and very funny, but it also has very identifiable themes.   One theme is politics. The state of political affairs in the book is a complete and utter mess, which sounds a bit like real life, actually. The book does a great job of showing readers how ridiculous politics can be. For example, the President of the Galaxy is a figurehead position with no real power. Its purpose is to turn attention away from the real sources of power. Further ridiculousness of the political powers that be is seen in those people's decision to bulldoze an entire planet to make room for a highway.   As a science teacher, I also see science and scientific study as a theme. The book has some awesome technology. Machines that can build planets, intergalactic spaceships, and the Infinite Improbability Drive are all powerful tools of science and technology. What I like most of all about the book's scientific theme is ...

Although Samuel Coleridge never describes in detail the castle in his poem ‘Christabel,’ careful readers can, nevertheless, gather quite a few details of what the castle looked like. Initially, we are only told that the castle has a clock (line 1) and that there are woods about a ‘furlong beyond the castle gate’ (line 26). But further reading reveals other details. After Christabel has ‘rescued’ Geraldine, she invites her to return to the castle with her, assuring her that everyone is asleep, that ‘hall [is] as silent as the cell’ (line 117). This tells us there are likely dungeons below the castle. When the two women arrive at the castle, ‘they crossed the moat,’ (line 123), and Christabel uses a key to open a small door fitted right inside the middle of the large gate (lines 124-126). So now we know there is a moat around the castle, there is a man-door that has a lock on it, and we know there is a large gate. Further, we are told the gate is clad in iron on both sides, and this is w...

Across Five Aprils ends with Jethro having taken responsibility for his family farm for the last four of the titular five Aprils. After Lincoln's assassination, Jethro feels there is no "beauty in the world around him or any serenity in his heart." Nonetheless, the story ends on a hopeful note as the slaves are freed and the country moves forward into an unknown but promising future. Jethro himself is facing a new chapter in his life as he prepares to obtain an education like Shad and Milton. A short sequel to Across Five Aprils might begin a year after Jethro has left home to pursue his education. The world changed significantly in a short period of time, so the sixth April could begin by describing those changes through Jethro's perspective. It is likely that he would experience some conflict between his familial responsibilities and his desire to continue his education and pursue a career of his own. Jethro is a sensitive and socially conscious young man, so it i...

Hyperbole is the use of exaggeration for effect. Examples of this literary device appear in “I Wandered Lonely as a Cloud” when the narrator describes the number of daffodils he saw that day. The flowers filled an entire field. They were “continuous,” they “stretched in a never-ending line,” and he thought he saw “Ten thousand” of them at a single glance. Some could say that these are terms of hyperbole because it would be impossible to find a field of 10,000 daffodils in real life. At least through these words, Wordsworth paints an image in the reader’s mind of what such a place would look like. Whether or not the actual field he saw that inspired this poem held this many flowers doesn’t matter. And who could make the time to count them, anyway? Some may also consider the daffodils’ “dance” as a use of hyperbole, too. I suggest that it is instead anthropomorphic – assigning a human characteristic to something that is not human. Obviously, flowers cannot dance in the way that we humans...

Power shifted throughout the South after Congress passed the Reconstruction Act of 1867. The Radical Republicans were in charge of Reconstruction. This gave them more influence in the South. The southern states were placed under military rule as a result of the Reconstruction Act of 1867. These states had to write new constitutions that would ratify the 14th Amendment. For a period of time, African-Americans gained more political power. The 15th Amendment stated that people couldn’t be denied the right to vote based on race, color, or having been a slave. African-Americans ran for political office and won some elections. As long as the military was in the South administering the terms of Reconstruction, the Republicans remained in control of Reconstruction and in control of the South. Some white southerners refused to take part in the process of writing the new state constitutions. This helped increase, for a period of time, the African-American presence in southern politics. Reconstru...

In Chapter 20, Scout sees Dolphus Raymond hand Dill a bottle in a sack. Scout has always thought of Mr. Raymond as a drunk, and she knows that he prefers to live with African-American people and has an African-American mistress and biracial children. She thinks he is handing Dill some kind of alcoholic drink, but it turns out that it's just Coca-Cola. When the children ask him why he pretends to be drunk, Mr. Raymond responds, "I try to give ‘em a reason, you see. It helps folks if they can latch onto a reason." In other words, the people of Maycomb would consider it strange for him to keep company with African-American people if he weren't a drunk. By drinking, he prevents them from actually thinking about his open-mindedness and true motivations. His reasoning expands Scout's perspective because she hadn't before considered that a white person could prefer to be around African-American people. She realizes that people's motivations are also different at ...

Okonkwo is a good father in that he provides for his family and protects them when necessary. He is also a successful man who demonstrates to his children the importance of hard work and motivation. He teaches Ikemefuna and Nwoye necessary skills to become successful farmers and even travels to the Oracle of the Hills and Caves in order to protect Enzima. However, Okonkwo is a callous, strict man who does not express his feelings of admiration to his children. Okonkwo believes that any form of positive emotion or communication makes him look weak. For this reason, he does not tell Enzima how much he admires her or lets Ikemefuna know that he is proud of him. Okonkwo is also intolerant and insensitive. He neglects his son Nwoye because he feels like Nwoye is too feminine simply because he does not share any of his "masculine" interests. Although Ikemefuna is not his son, he takes part in his murder despite being told not to participate. Nwoye ends up resenting his father and O...

1. Chapter 14 opens with a brief scene in town in which "countrywomen" and "a skinny gentleman" take note of Scout and Jem and mutter about them in vaguely rude ways. Scout doesn't realize that they are bitter about Atticus taking on Tom's case. 2. The next scene occurs after dinner in Scout's home. She asks Atticus what rape is, and he tries to explain it. When Scout talks about how she enjoyed going to Calpurnia's church, Aunt Alexandra interjects herself into the conversation and tells Scout that she can't go there anymore. They argue, and Scout excuses herself to the bathroom. When she comes back, she overhears Alexandra tell Atticus that they need to fire Calpurnia because she's influencing the children too much. Atticus and Scout firmly disagree. If you needed to identify the most important scene from Chapter 14 that relates to the plot and the theme of the novel, you'd probably choose this one. 3. Immediately following this scene, ...

Connotation is the meaning associated with a word or phrase that goes beyond the literal or denotative meaning. Shirley Jackson uses connotation in several ways in her classic short story. One of these is ironic. Technically, a lottery is just a random drawing. It could be good or bad. Most often, though, a lottery is held for some kind of prize, and so it carries a positive meaning. In this case, since the "winner" gets stoned, the meaning is very negative. A second example of connotation is also ironic. Mr. Summers, who runs the lottery, has a name associated with warmth and pleasure. Likewise, the June setting is associated with warmth and pleasure. The lottery, of course, is neither warm or pleasant. A major non-ironic example of connotation is the box used for the lottery. The box is black, a color associated with death and mourning. This foreshadows the deaths the lottery will bring, and is associated with the black dot on the paper Mrs. Hutchinson opens.

One example of African resistance to imperialism was the 1896 Battle of Adwa. This was a conflict between the Ethiopian army, led by Emperor Menelik II, and the Italian army, led by General Oreste Baratieri and assisted by Eritreans. Menelik II led his army to victory, and Italian forces were driven out of Ethiopia. An example of nonviolent resistance in Africa is the Aba Women's Revolt, or Igbo Women's War, in 1929. This movement was a revolt led by rural women in response to the threat European colonization posed to their autonomy. Additionally, some governments participated in political resistance. The first president of the Republic of Guinea, Sékou Touré, declared at the beginning of his presidency in 1958 that Guinea was to opt for immediate independence from France. Guinea was economically dependent on France as a former colony, but Touré argued it would be better to be independent without European oppression than benefit from France's financial support.

`x=2+t^2` `y=t^2+t^3` First, take the derivative of x and y with respect to t. `dx/dt =2t` `dy/dt =2t + 3t^2` Then, determine the first derivative,`dy/dx` . Take note that in parametric equation, the formula of `dy/dx` is: `dy/dx= (dy/dt)/(dx/dt)` Applying this formula, the first derivative is: `dy/dx = (2t+3t^2)/(2t)` `dy/dx= (2t)/(2t) + (3t^2)/(2t)` `dy/dx=1+3/2t` Then, determine the second derivative of the parametric equation. To do so, apply the formula: `(d^2y)/(dx^2)= (d/dt (dy/dx))/(dx/dt)` So the second derivative is: `(d^2y)/(dx^2) = (d/dt (1+3/2t))/(2t)` `(d^2y)/(dx^2) = (3/2)/(2t)` `(d^2y)/(dx^2) = 3/2 * 1/(2t)` `(d^2y)/(dx^2) = 3/(4t)` Take note that the concavity of the curve changes when the second derivative is zero or does not exist. `(d^2y)/(dx^2)= 0`     or     `(d^2y)/(dx^2)= DNE` Since the second derivative of the given parametric equation is `(d^2y)/(dx^2) = 3/(4t)` there are no values of t in which it results to zero. However, the second derivative does not exist...

Taylor series is an example of infinite series derived from the expansion of `f(x)` about a single point. It is represented by infinite sum of `f^n(x) ` centered at `x=c` . The general formula for Taylor series is: `f(x) = sum_(n=0)^oo (f^n(c))/(n!) (x-c)^n` or `f(x) =f(c)+f'(c)(x-c) +(f^2(c))/(2!)(x-c)^2 +(f^3(c))/(3!)(x-c)^3 +(f^4(c))/(4!)(x-c)^4 +...` To determine the Taylor polynomial of degree `n=4` from the given function `f(x)=ln(x)` centered at `x=2` , we may apply the definition of Taylor series. We list `f^n(x)` up to `n=4`  as: `f(x) = ln(x)` `f'(x) = d/(dx)ln(x) =1/x` Apply Power rule for derivative: `d/(dx) x^n= n *x^(n-1)` . `f^2(x) = d/(dx) 1/x`            `= d/(dx) x^(-1)`            `=-1 *x^(-1-1)`            `=-x^(-2) or -1/x^2` `f^3(x)= d/(dx) -x^(-2)`            `=-1 *d/(dx) x^(-2)`            `=-1 *(-2x^(-2-1))`           `=2x^(-3) or 2/x^3` `f^4(x)= d/(dx) 2x^(-3)`             `=2 *d/(dx) x^(-3)`            `=2 *(-3x^(-3-1))`             `=-6x^(-4) or -6...

`int tanx ln(cosx)dx` To solve, apply u-substitution method. `u=ln(cosx)` `du=1/(cosx)*(-sinx)dx` `du =-tanxdx` `-du=tanxdx` Expressing the integral in terms of u variable, it becomes `= int ln(cosx) * tanxdx` `= int u * (-du)` `=-int udu` To take the integral of this, apply the formula `int x^n dx =x^(n+1)/(n+1)+C` . `= -u^2/2 + C` And, substitute back u = ln(cosx). `= -(lncosx)^2/2 + C` Therefore, `int tanxln(cosx)dx = -(lncosx)^2/2+C` .

Hello! To solve this problem we need the formula for `a_n,` the `n`-th term of an arithmetic progression, and the formula for `S_n,` the sum of its `n` terms. These formulas are:  `a_n = a_1 + d*(n-1)`  and  `S_n = n/2 (a_1 + a_n).` Here `a_1` is the first term and `d` is the common difference. In our problem `d = 3,` `a_N = 128` and `S_(2N) = 9842.` The unknowns are `a = a_1` and `N.` Substitute them into the above formulas: `a_N = a + 3(N - 1) = 128,`   `a_(2N) = a + 3(2N - 1),`   `S_(2N) = (2N)/2 (a + a_(2N)) = N(a + a + 3(2N - 1)) = 9842.` This way we obtained two equations for `a` and `N,` `a + 3(N - 1) = 128`  and  `N(2a + 3(2N - 1)) = 9842,` let's solve them. Express `a = 128 - 3(N - 1) = 131 - 3N` from the first equation and substitute it to the second: `N (2(131 - 3N) + 3(2N-1)) = 9842.` Simplify the expression in the parentheses:  `N*259 = 9842,`  or  `N = 9842/259 = 38.` Recall that  `a=131-3N` and obtain  `a=131-3*38=131-114=17.` The answer: a= 17 and N= 38 .

Secrets play a major role in "The Minister's Black Veil"; there are the secret sins of the members of the congregation, sins they fear that the Reverend Mr. Hooper may see from behind his veil, and there are the possible sins that the minister himself may be hiding that also disturb the men and women.  When Mr. Hooper approaches the meetinghouse, [T]here was a general bustle, a rustling of women's gowns and shuffling of the men's feet, greatly at variance with that hushed repose which should attend the entrance of the minister. Indeed, it is the fears of what Mr. Hooper may be looking at from behind his veil or what he may be hiding that disturbs the congregation when the minister passes, then mounts the pulpit, and afterwards as he continues to wear the veil. For, in demonstrating this sign of his own shame and melancholy to the world, Mr. Hooper indirectly forces his congregation to look inward and feel their own sins, secret sins they wish to hide.  As time pas...

"The Pardoner's Tale" is enjoyable because both the prologue and the tale itself satirize human failings. In the prologue, the Pardoner, himself a greedy character who is open about his cupidity, relates how he defrauds his parishioners. While he preaches that greed is the root of evil, he also admits that "It's greed alone that makes me sermonize." He sells relics to make money, and he preaches to acquire money while watching others live in poverty. In "The Pardoner's Tale," three unholy youths, condemned to death for their sins, hear while drinking in a pub that their friend, also drunk, was slain by a character named Death. They promise each other to slay Death--which is of course a fruitless and darkly funny task--and they wind up dying themselves. What kills them all is their own stupidity and greed, as two of them wait to slay the man who has gone for food and drink. After two of them slay the first man, they drink the wine that the other...

I think the two most important differences between US war preparations and German war preparations in WW2 were (1) The US prepared for war fairly openly, while Germany conducted most of the preparation in secret, and (2) The US was prepared to exert economic superiority over a prolonged war of attrition, while Germany was unprepared for a long conflict and hoping for a swift victory. Germany was ostensibly not allowed to militarize under the Treaty of Versailles (signed at the end of WW1), so they had to conduct most of their military preparations in secret, disguising them as much as possible. It wasn't until the late 1930s that they really openly began to militarize, and within a few years they had already started the war by invading Poland. Hitler had a plan to win the war in four years, and only established sufficient preparation to support Germany's military for that length of time. Their plans didn't even make it four years, and Germany was already strained in supplie...

`sum_(n=0)^oo (-1)^(n+1)(n+1)x^n` To determine the interval of convergence, use Ratio Test. The formula of Ratio Test is: `L = lim_(n->oo) |a_(n+1)/a_n|` Applying this formula, L will be: `L = lim_(n->oo) | ((-1)^(n+2)(n+2)x^(n+1))/((-1)^(n+1)(n+1)x^n)|` `L=lim_(n->oo) | ((-1)(n+2)x)/(n+1)|` `L=|x|*lim_(n->oo)|(n+2)/(n+1)|`  `L= |x|*1` `L=|x|` Take note that in Ratio Test, the series is convergent when the value of L is less than 1. `L lt 1`       `:.` Series is convergent So set the L less than 1 to get the values of x in which the series will be convergent. `|x|lt1` `-1ltxlt1` So the series converges on the interval -1<x<1. Next, determine if the series converges or diverges at the end values of the interval. If x=-1, the series becomes: `sum_(n=0)^oo (-1)^(n+1)(n+1)(-1)^n ` `= sum_(n=0)^oo (-1)^(2n+1)(n+1)` Then, apply the Series Divergence Test. It states that if the limit of the series is not zero or does not exist, then the series diverges. `lim_(n->oo) a_n !...

There are many ways for humans to interact with their specific environment and the greater environment as a whole. Every single action taken by a person has a theoretical ripple effect on even the smallest of beings. For example, you eat an apple yet the core remains intact because you can't eat it. You throw the core away where it is then taken to a land fill. While the core sits in the landfill it is broken down by insects and rodents who store the food from the apple for their winter hibernation. Another example of how we interact with our environment is by consuming the resources that are available to us. Through human ingenuity we are able to pull raw elements from the Earth (iron, wood, oil, etc.) and shape them to our needs. A good thought exercise to use is grabbing a single object and tracing its path to you and the path that it will travel when you have gotten rid of the object.     

For the given integral problem: `int sqrt(x)arctan(x^(3/2))dx` , we can evaluate this applying indefinite integral formula: `int f(x) dx = F(x) +C` . where: `f(x)` as the integrand function `F(x)` as the antiderivative of `f(x)` `C` as the constant of integration. From the basic indefinite integration table, the  problem resembles one of the formula for integral of inverse trigonometric function:  `int arctan(u) du = u * arctan(u)- ln(u^2+1)/2+C` For easier comparison, we may apply u-substitution by letting:  `u =x^(3/2 )` To determine the derivative of u, we apply the Power rule for derivative:`d/(dx) x^n = n*x^(n-1) dx`. `du =d/(dx) x^(3/2)`        `= (3/2) *x^(3/2-1) * 1 dx`        `= 3/2x^(1/2) dx`       ` =3/2sqrt(x) dx` Rearrange `du =3/2sqrt(x) dx` into `(2du)/3 = sqrt(x) dx` . Plug-in the values `u = x^3/2` and `(2du)/3 = sqrt(x) dx` , we get: `int sqrt(x)arctan(x^(3/2))dx =int arctan(x^(3/2))*sqrt(x)dx`                                             ` = int arctan(u) *(2du)/3` Ap...

Obviously, the answer would vary depending on the particular society in which you are interested. Since no region is specified, this answer will address western Europe. In the past 700 or so years, western Europe has evolved from a feudal society run by nobles to a groups of monarchies gradually evolving into nation states that have espoused liberal democracy. It has grown from an impoverished and war torn region to a harmonious one, with some degree of economic integration in the form of the European Union. In the thirteenth century, the Roman Catholic Church dominated the religious landscape, with only a very small minority belonging to other religions. The religious landscape of Europe is very different now. Although Christians still form the majority among those who are religious, religious diversity is increasing and church attendance declining. Many different Christian denominations now exist. Religious institutions no longer dominate European thought or society.  While gender in...

To conduct a feminist critique of a play, you will want to take a look at the roles and relationships of women in the piece. You may also wish to consider how the "world" is constructed to either reinforce or challenge these roles and relationships. I'd like to recommend you begin by conducting this rather popular "litmus test" for whether or not a piece of media is oppressive to women-- the Bechdel-Wallace test. This test was first designed to evaluate films, but may be adapted for literature and theater works. In order to "pass" the test, your chosen play must meet three criteria. There must be at least two  named women characters. They must talk to each other. They must talk about something  other than a man. Though it  has received some criticism, this simple test is an excellent way to discern the nature of women characters in a piece of media. If your chosen play passes the test, one can infer that these women characters are likely offered some...

When we look for figures of speech, we're looking for words and phrases that are not meant to be taken literally, so we're specifically looking to identify these devices: figurative comparisons (similes and metaphors) exaggeration for a dramatic effect (hyperbole) and human traits given to nonhuman things and ideas (personification). In Sonnet 29, which is about the speaker's sadness over being unsuccessful in life until he remembers how lucky he is to have the person who loves him, we find some good examples of all of those specific figures of speech listed above. Let's check them out in that order: 1. Similes and metaphors. The speaker's mood improves "Like to the lark at break of day arising," which is a simile, and he thinks of the love he receives as "wealth" (a metaphor). 2. Hyperbole. The poem is rife with exaggerations and dramatic overstatements. Here are the strongest examples: "I all alone beweep my outcast state." This mea...

We are asked to solve `2^(2x)-12*2^x+32=0 ` : Rewrite as `(2^x)^2-12*2^x+32=0 ` and let `y=2^x ` ; then `y^2-12y+32=0 ` and (y-8)(y-4)=0 so y=8 or y=4. y=8 ==> ` 2^x=8 ==> x=3 ` y=4 ==> `2^x=4 ==> x=2 ` Checking we find that these are indeed solutions. The graph:

Yes, the title is appropriate for a number of reasons. Firstly, the protagonist in the play, Antonio, is a merchant and he plies his trade from the city of Venice. Here is where he spends most of his time and where he manages his business. When one starts reading the text, there is no doubt who exactly the title refers to. The fact that he is a sea merchant is evident from the following extract from Act 1, Scene 1, in which Antonio states: My ventures are not in one bottom trusted, Nor to one place; nor is my whole estate Upon the fortune of this present year: Therefore my merchandise makes me not sad.  Secondly, Venice forms the backdrop for most of the action featured in the play. It is here where Antonio undertakes to help his friend Bassanio to obtain a loan from Shylock, the money lender, and where he signs a bond to that effect. Venice is also the setting for probably the most important scenes in the play - for example, the court hearing in which Shylock seeks restitution from An...

Rudyard Kipling is teaching his son how to be a virtuous man and a leader in his poem “If.” In the 25th and 26th lines of the poem he writes, If you can talk with crowds and keep your virtue,       Or walk with Kings—nor lose the common touch, He is explaining to his son that having the ability to interact and spend time with people from all walks of life will serve him well. A man, who is able to maintain his morals and standards even while interacting with those of different classes will prosper. Whether interacting with the general population, or those considered to be of a higher class distinction, it is important to be true to yourself. He is advising his son not to degrade himself, nor to put on airs. These lines become universal when they are applied to all men. When a person can relate to all mankind, he will be on the path to a life well lived, in harmony with others.

This is an example of the fundamental counting principle. It says that if there are m  choices for the first task and n  choices for the second task, then there are m*n  choices for both tasks. This principle can be extended beyond just two tasks.  In this case, we have three spaces to fill in for the password. The first space must be a letter of the alphabet, so there are 26 choices for the first space. The second space can be any digit from 0-9. So for the second space there are 10 possible choices.  Now for the third spot, we must also use a single digit. But we are not allowed to repeat the digit used in the second space. So we had 10 choices for the second space, but once a number is used there, it is no longer a viable choice for the third space. Thus our choices for the digit in the third space is reduced to 9.   Now, as the counting principle states, we must multiply all our choices together. So the total number of possible passwords is: `26*10*9=2340`

The talk between Mr. P and Junior is a reminder of how  The Absolutely True Diary of a Part-Time Indian  relates to American History. Frustrated with what he saw as limitations placed upon him, Junior hits Mr. P wth a textbook.  The teacher visits the student, and their conversation reveals much.  In the course of their conversation, Mr. P reminds Junior that he has talent and can do great things. However, in order to do so, he will have to leave the setting of emotional decay that has become the reservation.  Mr. P tells Junior that as a younger teacher on the reservation, he did things to Native American children that contributed to the very decay he wants Junior to transcend: "When I first started teaching here, that's what we did to the rowdy ones, you know? We beat them. That's how we were taught to teach you. We were supposed to kill the Indian to save the child."  When Junior asks about this, Mr. P says that their job as White teachers was to "kill Indian ...

In Toni Cade Bambara’s short story “Raymond’s Run,” Squeaky and her mother have differing ideas on the role of young girls, which makes their relationship strained. Squeaky’s mother cares for their home, while Squeaky’s contribution to the family is to care for her disabled brother, Raymond. This indicates they do not spend a lot of time together. While she describes the scene at the May Day celebration, Squeaky tells about the year she dressed up as a strawberry in the festivities. When her parents came to watch her dance, they were dressed in their best attire showing their pride in her participation. Squeaky thinks the whole thing is “nonsense.” I was once a strawberry in a Hansel and Gretel pageant when I was in nursery school and didn’t have no better sense than to dance on tiptoe with my arms in a circle over my head doing umbrella steps and being a perfect fool just so my mother and father could come dressed up and clap. You’d think they’d know better than to encourage that kind...

Direct comparison test is applicable when `suma_n` and `sumb_n` are both positive series for all n such that `a_n<=b_n` If `sumb_n` converges then `suma_n` converges If `suma_n` diverges then `sumb_n` diverges Let `a_n=3^n/2^n=(3/2)^n` and `b_n=3^n/(2^n-1)` `3^n/(2^n-1)>3^n/2^n>0`  for `n>=1` `sum_(n=1)^oo(3/2)^n` is a geometric series with ratio r=`3/2>1` A geometric series with `|r|>=1` diverges. The geometric series `sum_(n=1)^oo(3/2)^n` diverges and so the series `sum_(n=1)^oo3^n/(2^n-1)` diverges as well, by the direct comparison test.

`a_n=(-1)^(n+1)(2/n)` The subscript n represents the term number. It usually starts with n=1 which tells that a1 is the first term. So to determine the first five terms, plug-in n={1,2,3,4,5}. When n=1, the first term is: `a_1=(-1)^(1+1)(2/1)` `a_1=2` When n=2, the second term is: `a_2=(-1)^(2+1)(2/2)` `a_2=-1` When n=3, the third term is: `a_3=(-1)^(3+1)(2/3)` `a_3=2/3` When n=4, the fourth term is: `a_4=(-1)^(4+1)(2/4)` `a_4=-1/2` And when n=5, the fifth term is: `a_5=(-1)^(5+1)(2/5)` `a_5=2/5` Therefore, the first five terms of the sequence are `{2,-1,2/3,-1/2,2/5}` .

First, different types of tourists are influenced by different factors. A well-educated elderly couple spending a summer traveling around Europe may have very different motivations than a college student on spring break in Florida. People with young children will obviously prioritize locations that have activities and facilities geared towards family travel, while the elderly or disabled may be concerned about accessibility. The single most important factor influencing destination choice is recommendations from friends or family. This effect is amplified by social media, on which people often share vacation photographs and anecdotes. Price is an important factor, too, with sales or special offers sometimes motivating people considering a specific destination to decide to visit it; someone who is reluctant to visit a given hotel at $250/night might decide a $150/night special makes that hotel affordable.  Often, people enjoy visiting places they have seen or read about, with Jane Austen...

 Syntax refers to the arrangement of different parts of speech according to a set of rules about patterns and order. That is, in English syntactical function refers to the grammatical constructions of words and their arrangement in a sentence. For, as a syntactic language, English makes use of this system of ordering words (especially nouns) to indicate relationships that convey meaning. (Other languages sometimes change the spelling of nouns in order to convey meaning or case, a process called declension.) Here is the syntactic function of the following noun phrases given above:  (a) (This one has been completed as described above.) (b)  The most important thing  is to decide what the purpose of the interview is for you. This sentence is also a simple sentence composed of one main clause. The syntactic function of the words in bold is that of the subject of the sentence. The noun thing   is the simple subject, and "The most important" modify this subject. [ The =an article,...

Economic interventionism is an economic policy view that favors government intervention in the market. Interventions often take the form of regulations, policies, or subsidies. These may be administered in order to promote economic growth, increase employment, raise wages, raise or reduce prices, promote income equality, manage currency and interest rates, increase profits, or address market failures.   Several factors may influence a government deciding to reduce its intervention measures. Through interventions, a government may make the wrong decisions, leading to inefficient outcomes. They may intervene under political pressure. All interventions restrict personal freedom to an extent. A government may view the free market as the best means for economic growth. Economies can also see positive effects of limited government intervention through increased efficiency.  However, limited government intervention can also cause problems. In the short-term, large industries going out of busi...

Scanning poetry means that a person is marking out the rhythm and meter of a particular poem or line within a poem. Most poets try to follow a repetition of stressed and unstressed syllables within each line of poetry. That repetition gives poems rhythm. Each unit of rhythm is called a "foot." Typically a person will scan a line of poetry by placing marks above each stressed and unstressed syllable. A "-" means unstressed, and a "/" means stressed. That's difficult to do on a computer, so I will use  bold for stressed and normal for unstressed. I also can't do a short vertical line on the computer, so I will use a "/" to mark out the feet. When  old ' / age  shall ' / this  gen ' / -er - a ' / -tion  waste ', Thou shalt ' / re - main ', / in midst ' / of o ' / -ther woe ' Than ours ', / a friend ' / to man ,' / to whom ' / thou sayst ,' " BEAU ' -ty / is  truth ', /...

Shakespeare's diction in Sonnet CXXX mocks the language of the Petrarchan sonnet that employs elegant comparisons. In contrast, with this sonnet the poet describes what his love is not, thus providing a parody of the sonnet model. The speaker of Sonnet CXXX describes his love in the most unflattering language: Her eyes are not stunning, her lips are not red, and her breasts are not white, but are, instead, dun-colored. The speaker further flaunts the conventions of the sonnet sequence with such lines as these: If hairs be wires, black wires grow on her head. . .  And in some perfumes is there more delight Than in the breath that from my mistress reeks. Rather than writing about his love as an ideal as in the traditional sonnet, Shakespeare uses diction that indicates his use of parody. This diction also serves another purpose as it lends verity to his ideas. For, when he declares his love for his "mistress," his words ring much truer than if he were to use the flowery lan...

Penelope must contend with her fear that she is being duped by someone who is not actually her husband. After all, Odysseus has been gone for twenty years, and he would likely look very different after such a length of time; he would have gone from being a young man to a middle-aged one. When he arrives at their home, claiming to be himself, he is able to string his bow and shoot an arrow through a row of axe handles, but still Penelope doubts his identity. She issues an additional test; she tells a servant to remove the bed she shared with Odysseus and place it in another room so that he can sleep in it. The real Odysseus would know that this is impossible because he had carved their bed into the trunk of a tree that grew up through their house. When Odysseus becomes angry, insisting that such a thing would not be possible, she knows that it is, indeed, him, because no one else knows the details concerning the bed.

There are four major results of Achilles' pride to be found throughout The Iliad , including alienation, wrath, vengeance, and death. Alienation The Greek warrior Agamemnon insults Achilles' pride by demanding that he surrender Briseis. Briseis was a maid Achilles had claimed as a prize of war, and Agamemnon's demand challenges Achilles' status as a leader. As a result, he withdraws from the Greek forces and does nothing to help when the Trojans attack. This alienation segues directly into the next result of Achilles' pride, which is his wrath. Wrath Achilles' pride commonly results in wrath, which is a major theme throughout The Iliad . The Muse is even asked to sing of the "wrath of Achilles." Achilles has a strong sense of honor that leads him to wrath as a response to certain events that violate his high standards of honor, particularly the capture of Briseis. To the Greeks, honor was based on the pursuit of excellence, nobility, valor, and accom...

The speech "I Have a Dream," delivered by Martin Luther King, Jr. in 1963, is a call for economic and social equality between Black and White Americans, and freedom from racist laws and threats of violence. King specifically calls for equal rights such as the right for African Americans to vote in the southern states, and integration of schools and neighborhoods. The speech contains references to the Constitution and the Declaration of Independence, documents which promise all Americans rights to freedom and equal opportunity, to argue that African Americans deserve the same access to rights and freedoms as all other Americans. Throughout the speech, King outlines his dream of a future in which people of different races coexist in harmony, with equal rights and access to opportunity.

This assignment seems designed to encourage you to think about the effects of the Industrial Revolution. Thus your instructor is probably seeking an answer which emphasizes the increasing pace of technological and social change in the late eighteenth and nineteenth centuries. Thus you could make the point that to a peasant farming the land, the main source of power in both 1500 and 1750 would have been human or animal, while steam power and other mechanical devices would have been increasingly common in 1900. The great manufacturing towns that arose in the Victorian era would have been unfamiliar in 1500 and 1750.  Another dramatic change was in transportation. In 1500 and 1750, transportation was by foot or animal, while in 1900, railways, steam powered boats, and cars existed.  Religious diversity increased dramatically in the period after 1750. Women gained the right to own property and began to enter the work force in the late 19th century in ways that were unknown earlier.

In keeping with the theme of dynamics in mother-daughter relationships, Jing-Mei’s father plays only a minor role in “Two Kinds” by Amy Tan. The author focuses on the interpersonal relationship between Jing-Mei and her mother while the father remains uninvolved. The mother endured unimaginable hardships in her homeland of China including losing her first husband and twin baby daughters. In America she hopes that her daughter will achieve the American Dream. Her husband does not involve himself in the volatile relationship between the two females; he remains a silent observer. The author’s purpose of examining the female relationships does not include a description of the father’s emotional reaction to his wife and daughter. He does attend Jing-Mei’s recital. After her abysmal performance, she can feel the shame of both of her parents. And now I realized how many people were in the audience - the whole world, it seemed. I was aware of eyes burning into my back. I felt the shame of my mo...

F. Scott Fitzgerald once said, "There are no second acts." It is helpful to analyze Gatsby's obsession with Daisy, and his insistence on "living in the past," in light of this statement. What Fitzgerald meant was that one cannot be transformed into someone else in a single lifetime. Gatsby believes that, because he is now wealthy and fashionable, he can win Daisy's love and claim her. However, she knew him when he had little and cannot forget his past self.  I would not say that Gatsby "lives in the past," but instead that he believes that the past can be revised. He wants to start over from the time at which he met Daisy, while a lieutenant stationed in Louisville.  He is "obsessed" with her because she is the one thing he cannot have. One wonders at times, while reading the novel, if Gatsby really loves Daisy or if she is the ultimate class marker. Perhaps he thinks that, if only he can win her, he can prove to himself that he has final...

The main character in Langston Hughes' short story “Thank You, M'am” doesn't have much, other than a big body and an even bigger name: Mrs. Luella Bates Washington Jones. That's why the end of the story is such an ironic surprise to the reader. When Roger, the young thief, turns to leave, Mrs. Jones gives him $10 and tells him to buy himself some blue suede shoes, which was what he tried to steal the money for in the first place. Ten dollars doesn't sound like much, especially today. But to give it some perspective, let's look at what prices were like when this story was published, in 1958. In 1958 the average price of a loaf of bread was 19 cents, a gallon of gas was 25 cents, and a postage stamp was 4 cents. Minimum wage at that time was $1.00 an hour. So let's look at it this way, in giving Roger $10, Mrs. Jones has given him the equivalent of 50 loaves of bread, or 40 gallons of gas, or 250 postage stamps. We don't know how much money Mrs. Jones made...

We are asked to graph the following function: `y=log_5(x+1)-3` The base function is  `y=log_5(x)` and the graph will be a translation of 1 unit left and 3 units down of the graph of the base function. The domain is x>-1 and the range is all real numbers. The graph is increasing everywhere and concave down on its domain. Some points on the graph include: (-24/25,-5),(-4/5,-4),(0,-3),(4,-2),(24,-1) The graph:

The Earth is approximately a sphere, and the way to minimize distance (and thus, travel time, all other things equal) is to travel along a great circle , a circle that covers the full circumference of the sphere. Any other path along the surface of the sphere that travels between those two points will necessarily be longer. Where this becomes counter-intuitive is that you will, in general, not stay at the same latitude, nor simply interpolate between the two latitudes. (If you are traveling between two points on the equator, such as from Quito, Ecuador to Kampala, Uganda, you do stay along the equator; but that's the only time you would.) The great circle that contains Tokyo and Vancouver actually passes through the southern peninsula of Alaska, despite the fact that Alaska is at a higher latitude than either Tokyo or Vancouver. This also has the advantage that if necessary the flight could ditch in Alaska, whereas flying over the Pacific Ocean would leave them with few options. To...

There are a number of themes in  Frankenstein , as there are in any great work of literature, but perhaps the idea that Shelley emphasizes most in the novel is the dangers of unchecked ambition, or in other words, the consequences of humans playing God. In vowing to understand the nature of life and death and in building and bringing to life a creature assembled of the parts of dead bodies, Victor Frankenstein essentially tries to play the role of "the Creator," usurping both divine authority and the natural birth process (he takes the mother out of the equation altogether). The novel goes on to show the disastrous consequences of Victor's actions.  Not only does Victor take upon himself powers that should not, it is implied in the novel, be given to man or to science, he also shirks his "parental responsibilities" after he awakens the creature. Victor runs from his creature in fear and disgust, forcing it to fend for itself in a world for which it is woefully u...

In Plessy v. Ferguson (1896), the Supreme Court ruled that the doctrine of "separate but equal" was constitutional. That meant that racial segregation was legal in public places, including trains and other modes of transportation, schools, drinking fountains, and other public spaces. This doctrine meant that the United States, particularly in the south, maintained separate public accommodations and schools for African-American and white people. Though the schools that African-American children attended were supposed to be equal, they were in fact not equal. Instead, African-American children in the south attended schools with far fewer resources than white schools. The doctrine of separate but equal was not overturned until the 1954 Supreme Court case Brown v. Board of Education , in which the court ruled that separate but equal schools were inherently unequal (meaning that even if these schools had the same resources, the fact that there were some schools for white people a...

In the scenario that you have laid out here, Donald’s hotel business will benefit when the dollar depreciates.  You might even say he will make so much money your head will spin.  This is because European tourists will be better able to afford to come and stay in his hotels. When a European tourist comes to the United States, that tourist has to exchange euros (assuming they are from a country in the euro zone) for dollars.  They, in essence, have to buy the dollars that they will use to pay for things while they are in the US.  In the scenario from this question, the dollar depreciates relative to the euro.  What this means is that each dollar is worth fewer euros and, to look at things from the other perspective, each euro is worth more dollars.  What this means is that a tourist with a fixed number of euros to spend on vacation will be able to buy more dollars with that fixed number of euros.  In essence, going on vacation to the United States will have become cheaper for them. We k...

To be able to graph the given function `y=-3/(x+2)` , we need to solve for the possible location of vertical asymptote. Vertical asymptote exist at x=a that will satsify `D(x)=0` on a rational function `f(x)=(N(x))/(D(x))` .  To solve for the verical asymptote, we equate the expression at denominator side to 0 and solve for x. `x+2=0` `x +2-2=0-2` `x=-2` A vertical asymptote exist along `x=-2` . To solve for horizontal asymptote for a given function: `f(x) = (ax^n+...)/(bx^m+...)` , we follow the conditions: when `n lt m`     horizontal asymptote: `y=0`         `n=m `        horizontal asymptote:  ` y =a/b`         `ngtm `       horizontal asymptote: `NONE` The function `y=-3/(x+2)` is the same as  `y=(-3x^0)/(x^1+2)` . Then, `n=0` and `m=1` satisfies the condition: n<m. Therefore, a horizontal asymptote exist at `y=0` (along x-axis). To solve for possible y-intercept, we plug-in `x=0 ` and solve for `y ` . `y=-3/(0+2) ` `y=-3/2 or -1.5 ` Then, y-intercept is located at a point `(0,...

Two instances that illustrate the lack of warmth and personableness of Mr. Jagger occur in the First Stage of Great Expectations when Pip first encounters him, and with Pip's meeting with him in Mr. Jaggers's office in the Second Stage. 1. In Chapter XI, as Pip returns to Satis House after six days according to Miss Havisham's instructions, he again follows Estella, who holds a candle, up the dark stairs. This time, he encounters a gentleman, who is groping his way down in the darkness. This is Mr. Jaggers: He took my chin in his large hand and turned up my face to have a look at me in the light of the candle. "Boy of the neighborhood? Hey?" said he. "Yes, sir..." "How do you come here?" When Pip explains that he has been sent for, Mr. Jaggers responds in a very negative manner, prejudging Pip as a miscreant. "Well! Behave yourself. I have a pretty large experience of boys, and you're a bad set of fellows. Now mind!. . . You behave yo...

Anne Frank was a thirteen-year-old girl who recorded her thoughts and experiences while hiding from the Nazis during World War II in a diary, which was published by her father after her death. Her tone when she describes herself and her life is fairly playful and humorous, although she is able to be serious and understand the gravity of her situation. Her writing style is personal, honest, and direct. Anne writes because she feels unable to confide in her peers or family; she struggles with the criticism she receives from adults when her family is in hiding, and she is unsure how to reconcile her identity as both Dutch and Jewish in the context of World War II. Anne is lonely, and within the context of her social isolation, her critical family, and the increasingly dire situation they hide from, she struggles with her identity and development into adulthood. Towards the end of the text, Anne realizes that she has matured during her time in the annex, and become more emotionally mature ...

Great Expectations is semi-autobiographical.  It is often considered a revision of David Copperfield , Dickens’s other autobiographical work.  Both have young abused boys, and both feature love stories.  While David Copperfield has a happy ending, Great Expectations does not.  It shows us an older Dickens with a bitter view of love and life, but a more complex and realistic one. Great Expectations features many aspects of Dickens’s life.  It takes place in and around Rochester, where Dickens was young and returned to live later in life.  He even based Satis House on a real house in Rochester, and the cemetery where Pip meets Magwitch is real, complete with the row of tiny headstones. Pip’s experiences mirror Dickens’s also.  Dickens was a self-made man, even though Pip’s fortune was handed to him. He too fell in love young, though he later grew disillusioned with his wife when she wasn’t as young and pretty.  Unlike Pip, Dickens had many children. Pip lives in London for a time, as ...

Perform a partial fraction decomposition of `1/(x^4+3x^2+2) = 1/((x^2+1)(x^2+2)),` it is  `1/(x^2+1)-1/(x^2+2).`  So the integral becomes   `int ((3x^2+x+4)/(x^2+1)-(3x^2+x+4)/(x^2+2)) dx =` `= int ((3+x/(x^2+1)+1/(x^2+1))-(3+x/(x^2+2)-2/(x^2+2))) dx =` `= int (x/(x^2+1)-x/(x^2+2)+1/(x^2+1)+2/(x^2+2)) dx.` For the first two summands perform a substitution `x^2=y,` `xdx=1/2 dy.` The third is from the table and the fourth is almost the same, substitution `y=x/sqrt(2).` The result is `1/2 ln(x^2+1) - 1/2 ln(x^2+2) + arctan(x) + sqrt(2)arctan(x/sqrt(2))+C.`

As in most stories the rising action of "Sweat" comprises the largest part of the story. In the rising action of a story, the problem/conflict(s) is/are introduced with the series of events that lead to the climax. After the main characters of Delia and Sykes Jones are introduced to the reader, the events that raise the action to the climax of the conflicts between Delia and her husband are as follows: --As Delia sorts the laundry that she washes for white folks,  Just then something long, round, limp and black fell upon her shoulders and slithered to the floor beside her.... She is terrified as she believes a snake has landed on her; however it is her husband's whip, instead. (This incident foreshadows another action of Sykes.) He enters, laughing at her. Delia scolds him for his cruel joke because he knows her fear of snakes, but Sykes reprimands her for washing the clothes.  "Ah done tole you time and again to keep them white folks' clothes outa dis house....

Industrialization during the 19th century created a number of radical changes in human society. Populations grew rapidly even as standard of living rose, something that had essentially never happened before 1700. Yet with change always comes turmoil, and even countries that didn't undergo outright revolution (as Russia did partway through the war) still had to deal with enormous shifts in the structure of their society and new tensions, especially the tension between workers and capital owners. This could have created conditions more prone to war, as countries were unstable and prone to violence in general. Improvements in technology were by no means limited to civilian applications, and in the early 20th century weapons technology became extremely advanced, and capable of vastly more destruction than ever before. We now think of tanks and machine guns whenever we think of war; but in that period tanks and machine guns were radical new technologies unlike anything the world had eve...

"The Solitary Reaper" reflects William Wordsworth's view that poetry should deal with common people and ordinary experiences, many of which are in communion with nature. Certainly, the Romantic idealization of rural life is present in this poem in which the Scottish lass sings in Erse [Scottish Gaelic] as she bends over her sickle in a sweet voice whose melancholic strains touch the speaker. Even though he does not understand the words, the speaker is touched by the emotion her song conveys, The music in my heart I bore, Long after it was heard no more. Wordsworth's theme of the reverence for nature and the place of the individual in it is evinced in this lyrical ballad in which the girl is "Reaping and Singing." Further, his belief that poetry recalls the emotions of earlier experiences that can be shared anew in the delightful moment of an occasion in nature is certainly apparent as the speaker alludes to "Arabian sands," "Hebrides," an...