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• Math
The problem provides the information that sum_(k=1)^n b_k = 5n^2-11n , hence, evaluating the general term, yields: b_n = sum_(k=1)^n b_k - sum_(k=1)^(n-1) b_k Replacing 5n^2-11n for ...

• Math
To find the volume of the ellipsoid about the y-axis, we need to sum discs of height dy , radius x . The volume is twice the integral from y=0 to y=b . This gives volume of each disc:...

• Essay Lab
There are different ways to structure an essay like this. Different teachers might prefer different structures and so you might want to consult with your own teacher. I prefer the following...

• William Faulkner
William Faulkner was awarded the Nobel Prize for Literature in 1949. Alfred Nobel stated in 1895 that the Nobel Prize shall be given to the person who shall have produced in the field of...

• The Scarlet Letter
This line is from Chapter XI of "The Scarlet Letter." In the previous chapter, Chillingworth proposes to Dimmesdale that in order to heal the minister, he must know of all ailments of...

• Math
Let's start by rearranging the equation. 3x^2-log(3x^2-2)=2-> (3x^2-2)-log(3x^2-2)=0` In general if we look at the graph of x-log(x), we will notice that it does not have an x-intercept....

• Guns, Germs, and Steel
It is a little bit difficult to say that Guns, Germs, and Steel has an outcome. A non-fiction book is not typically said to have an outcome. As it is, I suppose we could say that the outcome of...

• Science
A belly button, or navel is found on all placental mammals. When the umbilical cord is cut and removed from the baby's abdomen, a scar will eventually form, when it heals. This becomes the belly...

• Law and Politics
Most scholars of international relations identify Rousseau as a thinker who should be associated with the theory of realism. Realism stresses that countries' actions towards each other are based...

• Teaching Community
I would encourage them to work on writing skills. Study skills are important, but in my experience, many college students are simply not sophisticated enough as writers to be successful in college...

• History
The Ottoman ruler most responsible for the decline and eventual disunion of the Ottoman Empire is most likely Abdul Hamid II who was Sultan 1909. He oversaw a period of rapid modernization that...

• Number the Stars
The author of the Newberry Medal-winning novel, The Giver, Lois Lowry (born March 20, 1937 in Hawaii) has won several awards for her novel Number the Stars. Set in Denmark during World War II, it...

• Religion
I would first consider the point that Christians are taught to obey the laws of the land. There is a strong strain of Christian belief that encourages breaking laws that are deemed to conflict...

• Shakespeare's Sonnets
Lines 5 and 6 of Shakespeare's Sonnet 18 read as follows: Sometime too hot the eye of heaven shines,And oft' is his gold complexion dimm'd; In these lines, Shakespeare is saying that his beloved...

• To Kill a Mockingbird
"Prejudice and Tolerance" is a suitable title, although it sounds more like a Jane Austen novel. "Knowledge and Ignorance," "Guilt and Innocence" also work, but they are too overt; the reader knows...

• Hamlet
The information is uncertain but probably the following: Titus Andronicus 1584-1590? Romeo and Juliet 1594 Troilus and Cressida 1602 Hamlet 1603

• Jonathan Edwards
Jonathan Edwards? Are you referring to the Massachusetts Puritan preacher? If so, Jonathan Edwards is considered one of the foremost theologians in American history. He was a reformed theologian...

• Math
-56 .. , -8 is 7 multiples 0 is 1 multiple 8 to 600 is 75 multiples So the answer is 7+1+75=83 multiples of 8

• Desertion
Compare "Desertion" by Clifford D. Simak to Ray Bradbury's "And the Moon Be Still As Bright" from his collectionThe Martian Chronicles. Written around roughly the same times, "Desertion" (1944)...

• An Occurrence at Owl Creek Bridge
The narrative style is a bit unusual as it is. Ambrose Bierce, the author, divides the story into three parts and changes the narration each time. In the first part, a third person point of view is...

• Math
We are given that: (x^2 y^6)/z = 3 ...(1) (x^2 z^5)/y^2 = 27 ..(2) We need to find one value of x^2y^2z^2 Multiply (1)*(2) => [(x^2 y^6)/z]*(x^2 z^5)/y^2 = 3*27 Open the brackets and simplify...

• Literature
This area of the U.S., the northern prairie, was settled by Scandinavians and northern Europeans looking for farmland similar to their homeland. Life was difficult, but with hard work and devotion...

• Romeo and Juliet
This line is spoken by the Nurse in Act III, scene 3. She comes looking for Romeo, and Friar Laurence tells her he is upset because he can't be with Juliet, that he is "made drunk with his own...

• Science
Not being an expert on physics by any means, I have read a few things that indicate you should consider force and torque. Also, what about heat...like chemical energy converting into heat.

• Social Sciences
To answer this, we first have to understand what demand is. Demand is defined as the amount of a good or service that consumers are willing and able to buy at each potential price. In other...

• Speak
I'm not sure what part of the novel you are currently reading, but at the beginning of Speak, the reader finds out that the school's mascot was originally the Trojans. "Officials decided that it...

• Tender Is the Night
So you have asked a question about what I consider (dare I say it?) my favorite book. Yes, that's right, an English teacher has declared a favorite. That being said, let's get to your question....

There are at least two major ethical issues pertaining to organizational design. First, there are issues having to do with what design most effectively creates an ethical atmosphere within the...

• Julius Caesar
History shows that the Roman Empire was governed by the Senate and the Roman people. Therefore, with this power structure, no emperor could completely ignore the Senate since he could not give any...

• Social Sciences
I think that one specific action step that can be taken is to enhance the discussion of multiculturalism and suggest that the idea of different narratives of America does not trade off with what it...

• Julius Caesar
I agree with mwestwood. The Roman empire was the cradle for democracy. Caesar ruled, yes, but there was a system of checks and balances in place. Caesar ruled, yes, but it was at the will of both...

• To Kill a Mockingbird
Many different examples of courage can be found throughout the novel. Although both Tom and Atticus display courage before, during and after the trial, perhaps the most obvious examples of personal...

• The Magician's Nephew
This novel, as well as the others in the series The Chronicles of Narnia, is a Christian allegory. One of the main themes is the triumph of good over evil. The White Witch (Queen Jadis) represents...

• Marianne Moore
Love in America— Whatever it is, it’s a passion—a benign dementia that should beengulfing America, fed in a waythe opposite of the wayin which the Minotaur was fed.It’s a Midas of tenderness,from...

• Math
Three geometric means have to be identified between 2 and 162. If the required numbers are a, b and c a geometric series is formed by 2, a, b, c, 162 162 = 2*r^3 r^3 = 81 => r = 3 a = 2*3 = 6 b...

• Tree of Smoke
Skip Sands is the character who is related to the Colonel. Just as this work focuses on the relationship between two other characters who face the day to day realities of war on the front lines, it...

• The Pigman
Zindel's official website (see link provided below) lists 35 books, 8 plays, 4 films, and 3 made for TV movies.

Hmm. That depends on what sort of relationship you're looking for. You could, of course, compare it to other books by the same author, examining how Lynch explored similar themes of young people...

• Charles Dickens
This will be open to interpretation and completely subjective analysis. I think that Dickens and Flaubert might be able to possess some level of similarities in how they develop characters. The...

• Science
Along with the dinosaurs, other animals also disappeared approximately 65 million years ago. These were as follows Sauropods - Giant, long-necked plant eaters Pterosaurs - Giant, flying reptiles...

• Seamus Heaney
Most writers want people to think differently after they have read the work. Some want to change the world. Throughout history, writers really have changed the world either by pointing out social...

The end of the world is a scary concept. Imagine the life you have led, the people you have loved, the associations you have made gone in an instant. It is a terrifying condition that strikes at...

• English teachers
My district requires summer reading for students enrolled in honors English classes. Our summer break is only 9 weeks, so we give them a list of titles from which they have to choose 2. They're...

• Criminal Law
Lets look at what "search and seizure" means. The "search" part reflects the interest of an authority (usually law enforcement) in searching a person or corporation's belongings for evidence of...

• History
Traditional religious practices in Africa are by no means lost to the world, in spite of there not having been any written sacred texts. There is oral tradition and also, African religions have...

• A Simple Heart
Flaubert does not give a specific reason as to why the child is named how she is. Seeing this as well as the emphasis on Christianity that is present in the story, I think that we can draw some...

• The Catcher in the Rye
As Holden is leaving the Pencey Prep dorm, he tells us: "Some stupid guy had thrown peanut shells all over the stairs, and I damn near broke my crazy neck. (Salinger) Holden almost falls on...

• Reference
As you say, science does not explain our purpose. In fact, science cannot explain it. Personally, I do not know if our existence has purpose. It seems in a way ridiculous to think that it does...