What is the antiderivative of sin3x?

# What is the antiderivative of sin3x?

• MATH

What is the antiderivative of sin3x?

Let f(x) = sin3x. We need to find the anti-derivative of f(x). Then, we need to find the integral of f(x). ==> intg f(x) = intg sin3x dx Let u = 3x ==> du = 3 dx ==> intg f(x) = intg…

• MACBETH

In Macbeth, how does Macbeth betray Scotland?

Macbeth betrayed Scotland by lusting after power for power’s sake, rather than wanting to use his power and position to benefit and support others, which should have been his role as king. From his…

• MATH

How do you solve (cos x sin 2x = 0)?

We have to solve cos x sin 2x = 0 First use sin 2x = 2 sin x cos x cos x sin 2x = 0 => cos x( 2 sin x cos x) = 0 => 2 sin x (cos x)^2 = 0 So we have sin x = 0 => x = 2*n*pi cos x = 0…

• MATH

What is the result of the sum of the first term and the common ratio of a GP that has the term…

For a GP the 6th term T6 = 25 and the 8th term T8 = 9. Now if the first term is a and the common ratio is. Tn = a*r^(n-1) So, we have 9 = a*r^7 25 = a*r^5 divide the two => 9/25 = r^2 => r =…

• THE BRIDE COMES TO YELLOW SKY

What is the significance of the setting in “The Bride comes to Yellow Sky?”

In Stephen Crane’s short story, “The Bride Comes to Yellow Sky,” Potter and his new wife travel to, and arrive in, the town of Yellow Sky. Jack Potter is the local marshal and has gone to San…

• MATH

Extract mathThe sum of two consecutive integers is 15. Can I find the numbers if I know only the…

The answer is that the numbers are 7 and 8. You can find this mathematically. You know that they are consecutive so if the first number is x then the next number is x + 1. So you could have the…

• LUCILLE CLIFTON

Identify a message in “At the Cemetery, Walnut Grove Plantation, South Carolina, 1989” by…

I think that the acknowledgement of voice is one of the most important themes in the poem. The notion of unmarked slave graves and how their contributions in building the plantation were unnamed…

Compare the voice in the poems “America” by Claude McKay and “Song” by Adrienne Rich.

“Voice” is a literary element that is not the mood, or the author’s tone. It is, rather, the persona created in the writing—the poem—in which the author has developed the poem’s voice. It…

• MATH

Prove that 1+i is one of the roots of z^4=-4.

Given the function z^4 = -4 We need to determine if 1+ i is a root of z^4 = -4. Let us substitute; (1 + i )^4 = -4 ==> Let us rewrite the power. => [(1+ i)^2 ]^2 = ( 1+ 2i + i^2 )^2 But we…

• MATH

What is the indefinite integral of f(x)=1/(1+squareroot(x-1))?

Given f(x) = 1/(1+sqrt(x-1)) We need to find the indefininte integral of f(x). ==> intg f(x) = intg (1/(1+sqrt(x-1) dx Let us assume that u= sqrt(x-1) ==> du = 1/sqrt(x-1) dx = 1/2u dx…

• MATH

trigonometryHow calculate cos of 165 (sum or difference of what angles)? cos(165)

We need to find the values of cos(165). We will need to rewrite the number (165) as a sum of two known angles. 165 = 210 – 45 (210 is the angle 30 in the third quadrant). ==> cos(165) =…

• ORIENTALISM

What is the relation between orientalism and imperialism?

I have moved this question to this group because I assume that you are asking about the concept of orientalism as pioneered by Said in this book. If so, the relationship here is that orientalism…

• MATH

State if the 3 lengths of the sides form a right triangle? 10 cm, 49.5 cm, 50.5 cm

Let ABC be a triangle such that: AB = 10 BC = 49.5 AC = 50.5 If ABC is a right angle triangle, then the longest side should be the hypotenuse such that: hypotenuse^2 = sid(1)^2 + side(2)^2 We…

• MATH

mathQuadrant IIcot = -3 sin =?

Given that cot (x) = -3 We need to find sin(x). We know that: cot(x) = cos(x)/ sin(x) = -3 ==> cos(x) = -3*sin(x) ……………(1) Also, we know that: sin^2 x + cos^2 x = 1 ==> sin^2 x +…

• MATH

Find the antiderivative of y= square root(e^x-1)?

We’ll substitute sqrt (e^x – 1) = t. We’ll raise to square both sides: e^x – 1 = t^2 We’ll add 1: e^x = t^2 + 1 We’ll take logarithms both sides: ln e^x = ln (t^2 + 1) x*ln e = ln (t^2 + 1) But ln…

• MATH

mathQuadrant IIItan = 3 sin = ?

You need to use the follwing formula such that: You should use the basic formula of trigonometry such that: You only need to consider the negative value since the values of sine function…

• MATH

Find the other endpoint of a segment, with the endpoint (-1,9) and the midpoint (-9,-10).

Given the endpoint is A(-1,9) and the midpoint is M(-9,-10). We need to find the coordinates of the other endpoint of the line segment AB. Then we will assume that the other endpoint is B(Bx, By)….

• ODE ON A GRECIAN URN

Please explain the structure of “Ode on a Greecian Urn.”

You can divide the poem into sections by the visual elements the poet is describing. You can tell that the poet is explaining what he sees on this ancient piece of art by his question and answer…

• MATH

Write the equation of the circle whose ends of diameter are (18,-13) and (4,-3).

Given the endpoints of the diameter is (18,-13) and (4,-3). Then we can determine the length of the diameter by using the distance formula. ==> D = sqrt( x1-x2)^2 + (y1-y^2) ==> D =…

• MATH

Find the area of a triangle with two sides that measures 6 yd and 2 yd with an included angle of…

Since the given angle is included, we’ll apply the following formula for computing the area of a triangle: S = 6*2*sin 10/2 We’ll simplify and we’ll get: S = 6sin 10 We’ll compute sin10 = 0.1736. S…

• THE TAMING OF THE SHREW

Pretend that you are a reporter for the very respectable Paduan Times.Write an article about…

If I were writing this article, I would certainly compare the beauty of Katherine with the slovenliness and carelessness of Petruchio. Where she is calm and fairly demure, he is loud and…

• MATH

Solve the sistem by substitution 2x-3y=-1 -x+y=-1

We’ll change the 2nd equation in: 2x-3y=-1 (1) -x+y=-1 (2) -x+y=-1 y = x – 1 (3) We’ll substitute (3) in the first equation (1): 2x – 3(x – 1) = -1 We’ll remove the brackets: 2x – 3x + 3 = -1 We’ll…

How does recruitment fuels talent management in an organization?

I think that recruitment fuels talent management in an organization through a couple of distinct ways. The most elemental is that it helps bring individuals into an organization that share its…

• THE OUTSIDERS

Why did Sodapop’s parents name him Sodapop?

Since Sodapop is not the main character in the book, we don’t hear much about his name. The means that we cannot know for sure why his parents gave him that name. The best clue that we get comes…

• MATH

mathWhat is the height of a triangle with base 4 m and area 15 m2?

You need to remember the formula of area of triangle that relates the base and height such that: Substituting 15 for A and 4 for b yields: Hence, evaluating the height of triangle under given…

• THE FLOWERS

Was Myop affected by her discovery of the dead man in “The Flowers” by Alice Walker?

This is a good question, because the story doesn’t really go into detail about her thoughts, feelings or fears. Instead, it only shows what she does. So, we have to infer what she is feeling,…

• MATH

I have a problem in the chapter, “Perimeter”. Find the area of the triangle whose vertices…

Since the problem provides the coordinates of the vertices of triangle, you may also use, as alternative method, the following formula, such that: A=(12)∣∣∣∣⎡⎣⎢xAxBxCyAyByC111⎤⎦⎥∣∣∣∣A=(12)|[xAyA1xByB1xCyC1]|…

• ELIE WIESEL

What message does Elie Wiesel want to convey in his speech “The Perils of Indifference?”

He wanted to convey that indifference is worse than hate or anger. One could be angry at injustice or hate evil, violent acts. Indifference is the absence of compassion and implies something worse…

• THE MARBLE FAUN

What are the major themes in Hawthorne’s The Marble Faun?

Hawthorne illustrates complex themes in The Marble Faun. They are themes of strong interest to Hawthorne. One is crime and punishment, related to Miriam convincing Donatello to commit murder….

What benefit does a company get from hiring the right person and lose from hiring the wrong one?

Basically, hiring the right person increases the productivity of a firm while hiring the wrong person decreases it. If a firm hires a very good candidate for a job, that candidate will add a great…

• THINGS FALL APART

What is the difference between the old educational system in the Igbo community and the new one…

Clearly the old educational system was not one that we would recognise today as “education.” Children would learn the skills they needed to learn for their lives by living and working at their…

• A ROSE FOR EMILY

In “A Rose for Emily,” when does Emily’s hair start turning grey, and what does the author…

I think you were slightly confused in your original question, that referred to “Winter Dreams” by Fitzgerald. There is no character called Emily in that story and so I think you were asking about…

How do I present an HR outline of a motivational, productive work environment with inclusion,…

This is an important question and things like this can make all the difference at the work place. Here are some suggestions. If you want to create a place inclusive, then one of the best thing that…

• LAW AND POLITICS

a short dialogue about the rights and duties of the family members are observed and i do not know…

its hard to say really, each situation is different

• NICKEL AND DIMED: ON (NOT) GETTING BY IN AMERICA

How does Ehrenreich define the concept of living wage and explain why is it difficult to…

Ehrenreich refers to a “living wage” very early on in her book (page 3) but only loosely defines it as a wage that allows you to survive economically, pay for basic needs such as food, shelter,…

• ARTS

I need a topic to discuss relevant to music appreciation.

One idea is to investigate the effects of music on our health. I believe there has been some research on this, in hospitals for example. Another topic might be the effect of music on developing…

• OTHELLO

What examples are there of passion in Othello that leads to the destruction or demise of the…

Othello is full of passionate speeches by its male protagonists: Othello, Iago, Roderigo, and Cassio. All four males compete publicly not only over Desdemona but their status in the male military…

• HISTORY

What is the down side of working with primary documents?What is the down side of working with…

The major problem with using primary sources is that they do not cover everything that you might need to cover in a course. At least, they do not do it efficiently. Look, for example, at the WWI…

• TENNESSEE WILLIAMS

How would one proceed with a historical biographical approach to analyzing works from Tennessee…

I think that there is a slight danger in trying to forge links between an artist’s biography and and an artist’s literature when it might not be there. Yet, I do believe that with Williams, there…

How should I present positive and negative feedback?I am trainer and I have to make a…

From your explanation, it is difficult to tell exactly what kind of feedback you are presenting to the management. I will give you advice on the two ways I interpret the situation. INTERPRETATION…

• MATH

Find the quotient and remainder when 2×3 – x2 + 5x + 7 is divided by x2 + x – 2

Let the function be f(x) = 2x^3 – x^2 + 5x + 7. We need to determine the quotient and remainder of dividing f(x) by x^2 – x-2. Let us divide: ==> f(x) / (x^2 + x – 2) = g(x) + R where g(x) is…

• A HUNGER ARTIST

In “A Hunger Artist,” how does Kafka describe the changing relationship between the artist and…

Many consider this excellent short story to be a thinly-veiled allegory of how the artist never is fully appreciated for his art by his audience, who constantly misunderstand and treat his “art” as…

• THE GREAT GATSBY

What examples are there of the destructive nature of love in The Great Gatsby?

I think that an argument can be made that Gatsby’s love of his conception of “the American Dream” is fairly destructive. Gatsby’s love of wealth and what it means to be “Gatsby” does not bring any…

When the price is \$1000, 25 cameras are available for sale.When the price is \$1,850, 50 cameras…

The supply curve is an upward sloping one with quantity increasing with price. Now let the price be denoted by P and the quantity be Q. P = AQ + B. Here A and B have to be determined. So we have 25…

• OEDIPUS REX

Is it true (and where in the text can I find) what I read that Oedipus asks to be stoned when he…

Not to disparage what is found online, but I guess I am not really sure that such a finding is accurate. I don’t think one can find Oedipus asking to be stoned. Part of what makes the ending so…

• AN OCCURRENCE AT OWL CREEK BRIDGE

In “An Occurrence at Owl Creek Bridge,” what does this story have to say about justice?

This is an interesting question. I don’t think that justice is one of the key themes of this tale. This story says a lot more about the psychological impact of death on us as people and how we are…

• MAGIC REALISM

Do you agree with this statement about Magic Realism?In Gabriel Garcia Marquez’s Chronicles of…

Well, Gabriel Garcia Marquez is certainly a master of the use of magic realism in his fiction, so he should know! I guess what he is trying to get at though is how magic realism has really…

How does Adrienne Rich make the night and moonlight appear memorable in her poem “Amends”?

It is clearly her presentation of night and moonlight that make these aspects memorable. Consider the imagery that Adrienne Rich employs and the strength of her description that brings night and…

Explain the terms ‘Attitudes and Values’.IN ORGANIZATIONAL BEHAVIOUR

An attitude is a hypothetical construct that represents an individual’s degree of like or dislike for an item. Attitudes are generally positive or negative views of a person, place, thing, or…