Calculate the area of the region enclosed by the x-axis and one arch of the curve y = sin x.

# Calculate the area of the region enclosed by the x-axis and one arch of the curve y = sin x.

• MATH

Calculate the area of the region enclosed by the x-axis and one arch of the curve y = sin x.

y = sinx. To find the area under the curve and x axis for one arc of the function. We know that sinx has an arc y = sinx above axis for x in (0 , pi). So the area A under the arc of the curve y…

• HAYDEN CARRUTH

How does the poet use the word “heart” in “An Apology for Using the Word “Heart” in Too Many…

The poet is referring to the word “heart” as it is connected to the layers of meaning that the word has for people, even the dullest. The word is a part of normal human experience, fully…

• MATH

What is the limit: lim x–>0 [(sqrt (1+x) – 1 –(x/2)) / x^2]

Here if replace x with 0 we get the result as 0/0 which is indeterminate. Therefore we can use L’ Hopital’s Rule which states that if an expression of the form lim x–>0 [f(x)/ g(x)] gives…

• HAYDEN CARRUTH

Is the poet serious about his use of the word “heart” in the poem, “An Apology for Using the…

There are a number of times of the meaning of “heart” that might be construed as being not serious or extremely casual and frivolous, perhaps not serious at all about his apology. The rhymes of…

• PHYSICS

Find the moment of inertia of a ring about an axis through the center and normal to the plane of…

We’ll apply the formula of the moment of inertia: I = (pi*sigma/2)(a^4 – b^4) Knowing, from enunciation, the mass of the circular ring is: I = (M/2)(a^2 + b^2) We’ll insert the given values: I =…

• HISTORY

Why did America feel the need to intimidate Russia at the end of WWII?I know that the decision…

In my opinion, the US felt the need to intimidate Russia because it was becoming clear that the USSR was going to try to be an expansionist power. Because the Soviets were going to try to expand…

• HISTORY

What were the highs and lows in Rhode Island in the 1600’s

The New England Puritan communities were intolerant of those who refused to conform to the rigid ideology of those in power. Over time there were Puritans that were expelled from the Massachusetts…

• HAYDEN CARRUTH

What is the theme of the poem “An Apology for Using the Word ‘Heart’ in Too Many Poems”?

As was mentioned in the previous post, Carruth’s poem elaborates and examines the overuse of the word “heart” in too many poems. Throughout the poem, Carruth explores the theme of the true meaning…

• JABBERWOCKY

Please analyze the diction in “Jabberwocky” to make it more understandable to a modern reader.

The “tale” of this short, ballad-like poem is that an unnamed hero goes forth, defeats the monstrous Jabberwock and returns victorious. The diction can very well be understood by the reader,…

• POLITICAL SCIENCE

Explain if you think politcal polling provides accurate results.Explain if you think politcal…

I think that political polling, for the most part, does provide fairly accurate results. In all honesty, there can be no really accurate read with the exception of counting the ballots. I think…

• PHYSICS

A rigid rod is pivoted at point O and caries a body of weight w1 at the left end A.Find the…

Since the rod is in equilibrium, the net force and the net torque on it must be zero. The forces T1 and T2 are acting in opposite dirrection to the force P. P is the force of the pivot on the rod….

• JABBERWOCKY

What is the purpose of the poem “Jabberwocky”?

The purpose of “Jabberwocky” is delight and fun. It is nonsense verse of the highest order. According to Martin Gardner, editor of The Annotated Alice, “Few would dispute the fact that…

• MATH

Evaluate the values of x for tan^2x=(1+tanx)/2

We have to determine x given that (tan x)^2 = (1 + tan x) / 2. Now (tan x)^2 = (1 + tan x) / 2 multiply both sides by 2 => 2 (tan x)^2 = 1 + tan x => 2 (tan x)^2 – 1 – tan x =0 => 2 (tan…

• MATH

Solve for x : 2 – log 3 2 = log 3 x .

The equation 2−log32=log3x2-log32=log3x has to be solved for x. 2−log32=log3x2-log32=log3x Take the logarithmic terms to one side 2=log32+log3x2=log32+log3x Now use the property log a + log b = log(a*b)

• MATH

Solve for lim x–>0 [(x – sin x) / x^3]

Here if replace x with 0 we get the result as 0/0 which is indeterminate. Therefore we can use L’ Hopital’s Rule which states that if an expression of the form lim x–>0 [f(x)/ g(x)] gives…

• BIOLOGY

What is self-pollination?

Pollination is the transfer of pollen from the male part of the plant, anther, to the female part, stigma. Pollination is necessary for fertilization and reproduction, in other words, for the…

• GRAMMAR

I need double-checking on my grammar corrections of misplaced and dangling modifiers.I’ve…

Keep in mind that a misplaced modifier often makes the sentence sound like the wrong noun is doing or receiving the action of the verb. You’ve done well by correcting the 2nd sentence to make sure…

• SUMMER OF THE SEVENTEENTH DOLL

In the play Summer of the Seventeenth Doll, who is the character of Roo?

Roo is Olive’s sometimes-lover, a working man who spends most of the year in the fields performing manual labor. He is a member of an older class of men, preferring to work with his hands instead…

• ESSAY LAB

Keeping an open mind allows for growth.agree or disagree: give three points and explain

I would agree with this, but I only really have one major point. If your mind is not open, you will not listen to any new ideas. If you do not listen to any ideas, you will never change from the…

• JULIUS CAESAR

Compare and contrast the characters of Brutus and Antony in Julius Caesar.

The most obvious contrast is how they feel about Caesar — not personally, but in terms of how Caesar’s power is growing as the play opens. Antony is Caesar’s right-hand man — literally. He is…

• HAMLET

What is the device used in Hamlet, Act 1 Scene III, line 63?”Give thy thoughts no tongue / nor…

There are a couple of devises used in this line on both a small scale and on a large scale. First, there are two figures of speech (personification and metaphor) working together. In this speech…

• PHYSICS

Please answer the following question A traffic light of weight W hangs from two light cables;…

The traffic light of mass X hangs down supported by two light cables which are at an angle of 45 degree with the horizontal. Now the force due to the mass X is given as the weight W. Also the…

• SCIENCE

How can magnesium metal be used to distinguish between an acid and a base ?would u answer the…

Magnesium metal can be used to distinguish between an acid and a base by observing the reaction of magnesium with the given liquid. Magnesium reacts with acids and dissolves in them to form…

• HISTORY

Did the American Revolution change things for slaves?

The American Revolution did not change things for the slaves. Though there was talk of freeing the slaves once the colonies achieved freedom from Great Britain–Thomas Jefferson, for one, advocated…

• HAMLET

In Hamlet, what is Laertes’s job or occupation in France?

Shakespeare does not answer this question. In fact, between Laertes saying to Claudius in Act I, scene ii: Your leave and favour to return to France From whence willingly I came to Denmark To…

• LAW AND POLITICS

How did U.S. vs. NIXON help define the amount of power each of the three branches of our…

The ruling of United States v. Nixon established a constitutional basis for executive privilege. Executive privilege is not something mentioned in the Constitution but it has been used by…

Briefly describe the heroism shown by Sarpedon as an ally of the Trojans.

The Lycian warrior Sarpedon was a son of Zeus and in the Trojan War he was an ally of the Trojans. Sarpedon has a significant appearance in Book 5 of Homer’s Iliad, where he spurs Hector on to…

How is Homer’s Iliad is used in differents works of art and literature?

The influence of Homer’s Iliad can be found in numerous works of art and literature. A Greek tragedy entitled Rhesus and ascribed to Euripides is based on Iliad 10. The Latin epic, Vergil’s Aeneid,…

• LAW AND POLITICS

How did MARBURY vs. MADISON help define the amount of power each of the three branches of our…

This Court case essentially made the judicial branch as an important branch of the government. It did so by giving the judicial branch the power of judicial review. The Constitution itself does…

• SOCIAL SCIENCES

Can an individual demonstrate professional ethics without having personal ethics?Can an…

Personally, I do not see why not. Professional ethics and personal ethics are very different things, after all. Take, for example, Tiger Woods. In his golf career, no one has ever accused him of…

• RIP VAN WINKLE

Whose portrait was said to be hanging in front of the town inn in “Rip Van Winkle”?

This depends on when in the story you are asking about. The portrait hanging in front of the inn changes between the time that Rip goes to sleep and time that he wakes up again twenty years…

• GRAMMAR

Simple subjects and predicates. Corrections required.What are you doing after class Subject :…

What are you doing after class? Subject : you Predicate : ‘are doing’. You must supply the whole verb form (auxiliary + main verb) as the simple predicate.

• LITERATURE

To what is Goethe refering in the following: What you have inherited from your parents, earn…

I think that Goethe is suggesting that individuals have and must use their own sense of freedom and autonomy in defining their identity. This is a highly Romantic idea, in which Goethe believed….

• MATH

Determine the numbers x between 0 and 2pi where the line tangent to the curve is horizontal….

y = sinx +sqrt3 cosx. The tangent at (x1, y1) to the curve y = sinx+(sqrt3) cosx is given by: y – y1 = (dy/dx)(x-x1). dy/dx = d/dx{sin(x)+sqrt(3)*cos(x)}. dy/dx = cosx+(sqrt3)(-sinx). When the…

• LITERATURE

How to get kids to read a bookI am looking for strategies on how to get kids to read a book from…

Any time you can connect reading to real-life learning or experience, you’ve got a winner. So, before a field trip to the zoo, they should be reading about the animals they’ll be seeing. When…

• CHARLES

In the short story “Charles,” why does Laurie say that all the other children play with Charles…

Shirley Jackson is best known for her shocking short story “The Lottery”; however, one of her most delightful tales is “Charles.” It is the story of a little terror in the kindergarten class named…

• LAW AND POLITICS

Why was the Supreme Court Case “U.S. vs. Nixon” important in defining the powers of the branches…

This case was important because it did much to define the power of the president to claim executive privilege. The Court rejected Nixon’s expansive claim of executive privilege in this case. It…

• THE CATCHER IN THE RYE

What kind of scene described in the novel (including a quote) would be best to use?

Take your pick. There are plenty of scenes that speak volumes. You could go with something seemingly ordinary, such as when Holden opens Chapter 3 with “I’m the most terrific liar you ever saw.”…

• THE TELL-TALE HEART

In “The Tell-Tale Heart,”how does imagery (the beating of the heart) describe the narrator’s…

This excellent story, like “The Black Cat,” shows an unreliable narrator who gives himself away because of his own unbalanced nature. For me, a key quote to consider in how Poe uses the heart beat…

• SOCIAL SCIENCES

Indicate the political tactics that were used.both conventional and unconventional—social…

This is rather wide ranging. I think that you might want to offer up some specificity in the question in order to derive answers that are more focused. The political tactics of social movements…

• HERO AND LEANDER

I am looking for a topic to write a research paper on Hero and Leander. I’d like some suggestions…

While I will not be able to provide you with a specific thesis idea, hopefully I can give you some advice that will help you narrow down your topic. As a senior in college, you are probably looking…

• POLITICAL SCIENCE

What are the results for social movements?

Social movements in the United States have had mixed results. Ones that you have heard of typically have ended up having decent results, but many others have not. The most succesful social…

• MICROBE HUNTERS

What is the “Germ Theory of Disease”?

Germ Theory of Disease is a theory in biology which tells us that diseases are not spontaneously generated but caused by micro-organisms / microbes, commonly known as ‘germs’. These germs multiply…

• SOCIAL SCIENCES

Will women rule the world one day? Support your thoughts!Please show references!

I don’t think the world will trend towards dominance by either gender in terms of government. I think women will have a greater voice and more parity in terms of representation and leadership…

• THINGS FALL APART

In Things Fall Apart, how does the song in chapter 12 relate to the concept of change?The song at…

You are only permitted to ask one question, so I have had to edit your question down. It is clear that change is a key theme in this remarkable novel, as it presents us with a distinct African…

• THINGS FALL APART
• THE GIVER

In The Giver, what is the most important of the memories that the Giver gives Jonas?

I will identify two memories that I think are the most important that the Giver imparts to Jonas. They are the memory of the war and the memory of the Christmas scene. These two memories give…

• THE MASQUE OF THE RED DEATH

questionsWhat do you think of prince prospero?

As a clue to his character, Edgar Allan Poe gives the prince a name that suggests wealth and success. He is described ironically as the fairy tale prince: happy and dauntless and sagacious….

• POLITICAL SCIENCE

What are the forms of political participation in which people have attempted to influence…

Basically, political participation covers all of the ways in which people try to make their opinions known to government and/or to the rest of the public. I would say that the most important form…

• MATH

Help with a geometry word problem! Triangle Side lengths! Suppose a chair has a seat that’s an…

If you have stated the question properly, then all you have to remember is that congruent triangles have both sides and angles that are congruent. This is as opposed to similar triangles that have…