Find the integral of f(x) = cos(x) + sin(x) for the interval [ 0, pi]

# Find the integral of f(x) = cos(x) + sin(x) for the interval [ 0, pi]

• MATH

Find the integral of f(x) = cos(x) + sin(x) for the interval [ 0, pi]

Given the function f(x) = cos(x) + sin(x). We need to find the integral of f(x) on the interval [0, pi] Let F(x) = integral f(x) from x = 0 to x = pi. ==> F(x) = intg [cos(x) + sin(x)] dx…

• OF MICE AND MEN

What is the meaning and significance of the last line in Of Mice and Men:”Now what the hell do…

Clearly, Carlson’s callousness, shown earlier in the novella, Of Mice and Men is again evinced in his remark to Curley after Carlson is too late to shoot Lennie with his Kruger. Just as he has had…

• MATH

Determine the values of a if absolute values l 3a-5 l = l 2a+3 l.

Given the equality l3a -5 l = l 2a+ 3 l. To solve the absolute values equations, we need to consider positive and negative cases. Then we have 4 cases to solve. Case(1): (3a-5) = (2a+3) We will…

• WALK TWO MOONS

What is the Similie in Walk Two Moons

“…but when my grandparents got in a car, trouble just naturally followed them LIKE a filly trailing behind a mare.” phrase with like or as in it. There are more similis than this in the book….

• MATH

If the sum of two numbers equal the product, what are the numbers in terms of x?

Let the numbers be x and y. Given that the sum of x and y = the product of x by y. Then we will write the equation. ==> x + y = x*y. Now we will subtract y from both sides. ==> x = xy – y….

• MATH

Find the second derivative of f(x)= 3x^4 – 3x^3 + 4x -1. What is f’’(-1) ?

Given the function f(x) = 3x^4 – 3x^3 + 4x -1. We need to find f’’(-1). We need to determine the second derivative, then substitute with x= -1. First, we need to determine the first…

• MATH

Find a and b if 2a= 3b and 5b-3a = 12.

Given that 2a= 3b Then, we will divide by 2. ==> a = (3/2)b…………(1) Also, given that 5b-3a = 12……………..(2) Then, we will substitute with a = (3/2)b into equation (2). ==> 5b…

• MATH

If cos (a) = 0.2741 find the values of sinx and tanx

Given that cos(x) = 0.2741. We need to find the values of cos(x) and tan(x). We will use the trigonometric identities to find sin(x) and tan(x) values. First, we know that sin^2 x + cos^2 x = 1….

• MATH

Solve the equation. ( x-3) = 5/(2x+4).

Given the equation (x-3) = 5/ (2x+4) First we will multiply by (2x+4) both sides. ==> (x-3)*(2x+4) = 5 Now we will open brackets. ==> (x*2x – 3*2x + x*4 – 3*4 = 5 ==> 2x^2 – 6x + 4x…

• MATH

What is the area of the circle if the diameter has endpoints (2,7) and (-4, -1).

We need to determine the area of the circle whose diameter has endpoints (2,7) and (-4,-1). First we will use the formula of the area . We know that: A = r^2 * pi where A is the area, and r is the…

• MATH

Find all x values that satisfies the equation cos2x + sin(x) = 0

We will use the trigonometric identities to solve. We know that cos2x = 1- 2sin^2 x We will substitute. ==> cos2x + sinx = 0 ==> 1-2sin^2 x + sinx = 0 We will multiply by -1. ==> 2sin^2…

• THE MIRACLE WORKER

In The Miracle Worker, descibe Annie Sullivan physically. What kind of young woman was she?

Considering what a pertinent character Annie Sullivan is to this play and to Helen Keller’s life, it’s interesting that we aren’t introduced to her for a while. When she is finally introduced,…

• TO KILL A MOCKINGBIRD

In To Kill a Mockingbird, what does Atticus find wrong, what right, with the idea that all men…

In Harper Lee’s To Kill a Mockingbird, I believe that the idea of “all men are created equal” is something that Atticus struggles with. Atticus feels that all people are equal morally and under the…

• TO KILL A MOCKINGBIRD

Why doesn’t Mayella confess the truth?

It might be difficult to be sympathetic to Mayella considering this lie costs Tom his life and perpetuates the racist tendencies of the town. She is certainly at fault for this. But she is the…

• TO KILL A MOCKINGBIRD

In To Kill a Mockingbird, why doesn’t Mayella have friends, or even quite know what it would mean…

In Harper Lee’s To Kill a Mockingbird, there are several reasons why Mayella Ewell has no friends. Mayella is the oldest child in the Ewell family. With no other woman in the house, she is in…

• MACBETH

Shakespeare said tragedy is more the result of the waste of good than the result of evil. How…

Shakespeare’s character of Macbeth certainly illustrates the tragic waste of nobility and goodness in a character. For, in the beginning of the play, Macbeth, Macbeth has gained recognition for…

• CINEMA

What are the two comparible themes between the two movies: Sliding Doors and Family Man? What are…

Sliding Doors and The Family Man, both show us parallel worlds. The common themes are controlling our own destiny, taking second chances and that things aren’t always as they appear. Our lives…

• LORD OF THE FLIES

In Lord of the Flies, how has Jack’s personality developed during his stay on the island?

Much of Jack’s change in the novel is one of growth into his own personality. From the beginning he has a sort of rebellious streak, one that wants to go against what Ralph and Piggy set up but he…

• THE FALL OF THE HOUSE OF USHER

In “The Fall of the House of Usher,” what evidence supports the quote below?When isolated from…

I really like this quote, especially as it is applied to “The Fall of the House of Usher.” It is clear that you could easily refer this quote to the somewhat parasitic relationship that exists…

• TO KILL A MOCKINGBIRD

what is a basic visual desription of Tom Robinson in To Kill A Mockingbird?

From the text: “Tom was twenty-five years of age; he was married with three children; he had been in trouble with the law before: he once received thirty days for disorderly conduct.” – Chapter…

• TO KILL A MOCKINGBIRD

Help with quote for To Kill a Mockingbird Who is speaking, who is the subject, what lessons…

Atticus is the voice of reason in the novel; unwavering reason. The majority of the town still harbors racist ideology passed on from previous generations, they look at Atticus as a moral…

• HAMLET

What is the main theme of Act 4 in Hamlet?

In contrast to the first three acts of the play, in Act IV the action comes hot and heavy as things really heat up and the major events of the play are set in motion, with Act V on the horizon to…

• HISTORY

What was the impact of global migration on the United States during the 1800s and early 1900s?

From 1850 to 1930, the foreign born population of the United States increased from 2.2 million to 14.2 million. This particular and singular fact might help to explain the impact of global…

• THE GREAT GATSBY

What quotes exemplify infidelity in The Great Gatsby?

Infidelity: what an interesting choice of words! According to Wiktionary, the primary definition of infidelity is “unfaithfulness in marriage or other moral obligation” with a synonym of…

What determines when a nation has an unfavorable balance of trade?

The most basic answer to this is that the comparison between a country’s exports and its imports is what determines when it has an unfavorable balance of trade. When a country imports more than it…

• OF MICE AND MEN

What quotes show betrayal in Of Mice and Men?I have an essay about betrayal and we have to use Of…

Betrayal as a theme starts early in the novel. In Chapter 1 the two men are conned into walking miles to the ranch by the lazy bus driver- Kicks us out and says, ‘Jes’ a little stretch down…

• ROMEO AND JULIET

Prove that the suffering in Romeo and Juliet is the responsibitlity of the parents.I am looking…

It is interesting that you want to isolate Romeo and Juliet’s parents, since there are two other grown-ups in the play that have much more actual effect on the choices that Romeo and Juliet make –…

• SOCIAL SCIENCES

What are some examples of status and role in understanding deviance?

• RELIGION

This is for religion. I am supposed to ask questions and I need 5 people to answer them…

Great idea to pose this to the many people connected to Enotes! I imagine this question will be moved to the “discussion” forum and I hope you get a variety of answers, but I’d be happy to supply…

• ANIMAL FARM

In Animal Farm, who was the leader and what were his goals?

Snowball is the animal leader who has the best interests of the rest of the animals at heart. He is also the more clever of the two, Napoleon being far less clever and perhaps more brutal. This is…

• REFERENCE

How are messages via the Blackberry messenger transmitted over the network?

The Blackberry Messenger allows a real time exchange of messages between two or more people who have the messenger software loaded on their Blackberry smart phones. The way messages are transmitted…

• PHILOSOPHY

How is the history of genocide important or relevant to philosophy?

There are two main ways in which genocide is important to the study of philosophy. First, there is what is called the “problem of evil.” This is the question of whether the existence of evil calls…

• DEATH OF A SALESMAN

In Death of a Salesman Willy’s house is the only place where he can play the role of a salesman….

The situation with Willy is that he has lost control everywhere: At work, with himself, with his children, and with his neighbors and friends. The only place where Willy can halfway exert some form…

• TO KILL A MOCKINGBIRD

In To Kill a Mockingbird, Miss Maudie says to Scout: “Atticus Finch is the same in his house as…

Think about this question personally for a minute. What does it mean to you when you hear that a person is the same in his own house as he is in public? The answer to this question is as simple…

• A GOOD MAN IS HARD TO FIND

Explain how O’Connor capture her readers & characters attention by using violence in this…

The grandmother does not want to go to Florida but loses the battle. The entire trip is filled with bickering, disrespect and ill will. O’Connor likes to use surprising incidents to shake up the…

• MACBETH

How does Shakespeare show conflict in Act Three, scene five of Macbeth?

For Shakespeare’s Macbeth, conflict what drives the plot forward. We see Shakespeare present yet another conflict in this play. In Act III, scene v, the conflict presented is between Hecate, the…

• THE BIRTHMARK

How is “The Birthmark” by Nathaniel Hawthorne autobiographical?

Well, Hawthorne didn’t have a wife with a birthmark that he tried to remove, in the process killing her! Rather, to answer this question I think you need to look at how Hawthorne’s life impacted…

• LANGSTON HUGHES

What are some special features in “I, Too” written by Langston Hughes?For example, some poems use…

The primary device that Langston Hughes employs in “I, Too” is allusion: a reference to another work of art. Hughes’s opening line, “I, too, sing America,” is an allusion to Walt Whitman’s famous…

• SONNY’S BLUES

Is there a connection between “Sonny’s Blues,” and Death of a Salesman?

There is a common theme that runs through both James Baldwin’s “Sonny’s Blues,” and Arthur Miller’s Death of a Salesman. In “Sonny’s Blues,” Sonny is a man whose life is founded on dreams rather…

• LES MISÉRABLES

In “Les Miserables,” how does the attitudes and actions of one character make a difference in…

Consider that the actions of the Bishop are the catalyst to the change in Jean Valjean, which in turn begins a chain reaction of positive changes in many lives throughout the novel. Through his…

• DEATH OF A SALESMAN

In Death of a Salesman, how does Willy’s character show that this is a play about “rotten…

One possible approach to reading and understanding this play is to regard it not as a personal tragedy resulting from the failings of one individual, but as a lament to a society that is structured…

• HISTORY

Can someone describe the new concept of the universe presented by Nicolaus Copernicus in the…

Nicolaus Copernicus was a Polish astronomer who lived from 1473 to 1543. From his observations he discovered that the sun was the center of the universe (actually the solar system) and that the…

• DEATH OF A SALESMAN

In Death of a Salesman, what specific examples show that Biff is shabby, despicable, weak and…

Throughout the play numerous details emerge about Biff that show his lack of moral fiber and personal integrity, beginning at an early age. As a boy, Biff stole lumber from a construction site with…

• JANE EYRE

i want short notes about the development of jane character in Jane Eyrehow the other characters…

The novel Jane Eyre is an example of a bildungsroman as it portrays the youth development of the protagonist throughout her life. The various difficulties happen in order to achieve maturity and to…

• HISTORY

Who were the Federalists and Anti-Federalists?

You are referring to the two main groups, and later political parties, that were associated with the Constitutional Convention and the early administration of the United States government….

• TO KILL A MOCKINGBIRD

In To Kill a Mockingbird, explain the entire paragraph about the Coninghams and Cunninghams.At…

This paragraph is purposefully written to sound confusing and is meant to be humorous. It is a story of the only court case that ever perplexed Judge Taylor. Basically, the case was between two…

• 1984

In 1984, what crime does the main character commit, how does he do it and what is the punishment?

Simply put, Winston commits thoughtcrime. More importantly, he knows he is committing thoughtcrime by a variety of actions such as writing in a diary, carrying on in an affair with Julia, seeking…

• MATH

How many square feet of paper would be required to do the following?A man wants to cover all his…

The area of the front and back wall is 2*12*4 = 96 yd^2. The area of the side walls is 10*4*2 = 80 yd^2. The area of the floor and the ceiling is = 2*12*10 = 240 yd^2 The area of the table tops…

• LAW AND POLITICS

Is there a law that says motels must take vehicle information from guests checking in?

This is not a law. Instead, it is typically a policy that is observed by motels in order to safeguard themselves. Motels typically need to worry about people stealing from them, damaging rooms, or…