Calculate the integral of y=sin6x/(5+cos12x).

# Calculate the integral of y=sin6x/(5+cos12x).

• MATH

Solve for the unknown log5 v+log(1/3) 9+log9 81 = – 4.

log5 v+log(1/3) 9+log9 81 = – 4. To solve for v. log (5) v +log(1/3) 9+log(9) 81 = -4. log(5) v + log(1/3) (1/3) ^(-2) + log(9) 9^2 = -4. log(5) v – 2 + 2 = -4, as log (a) a^m = m. So log (1/3) 9…

• MATH

Solve for x 7^(3x-5)=1/49

To solve for x : 7^(3x-5) = 1/49. We know that RHS = 1/49 = 1/7^2 = 7*-2. Therefore the given equation is written as 7^(3x-5) = 7^(-2). Taking logarithms to the the base 7, we get: 3x-5 = -2. Add…

• MATH

If 4^(3x+35)=1.024 what is x ?

We’ll solve the exponential equation, having common bases both sides of equal sign. We’ll write 4 = 2^2 and 1.024 = 2^10/10^3 2^2(3x+35) = 2^10/10^3 We’ll re-write the equation: 2^6x*2^70 =…

• MATH

Calculate the integral of y=sin6x/(5+cos12x).

To find the integral of y=sin6x/(5+cos12x). We know that cos2A = 2cos^2A =1. Therefore cos12A = 2cos^2(6x) – 1. Therefore y = sin6x/{5+2cos^2(6x) -1)} = sin6x/{2sin^2(6x)+4} =…

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Discuss the father and daughter relationships in Hard Times.

Clearly the two relationships that this question refers to are the relationship between Louisa Gradgrind and her father, Mr. Gradgrind, and then the relationship between Sissy Jupe and her father,…

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To what extent do you view yourself as an educator of CHARACTER in the secondary classroom?How…

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• FRANKENSTEIN

Compare Frankenstein with The Rime of the Ancient Mariner.

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In The Pearl in Chapter 5 what does Kino mean when he says the pearl has become his soul?

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• THE TAMING OF THE SHREW

describe the use of a pantaloon in this act. meaning act 1 for taming of the shrewpantaloons, a…

Pantaloon is this case refers not to an article of clothing, but to a stock figure of fun, tricked and ridiculed by all. Two examples are Grumio at the start of Scene 2, and Gremio throughout his…

• HISTORY

Who deserves to be on the \$20.00 bill?Interesting discussion on whether Jackson deserves to be on…

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• THE TAMING OF THE SHREW

Identify and explain two metaphors in The Taming of the Shrew. Induction, Scene ii, lines 37-67.

I wonder if you mean similes rather than metaphors? The two are easily confused. I have checked the section that you refer to and cannot find any metaphors, but there are two obvious similes. Let…

• MATH

Determine whether each pair of equations are parallel, perpendicular or neither. y+2x=23 y=-2x+11

One way to identify the relative position of 2 lines is to compare their slopes. For instance, if 2 lines are parallel, their slopes must be equal. Or, if 2 lines are perpendicular, the product of…

• THE GREAT GATSBY

What purpose does Daisy serve for Gatsby? I just watched the movie, but did not get it. I can’t…

Your question has been edited down to one question according to requirements. In Chapter One of The Great Gatsby, Nick observes Jay Gatsby for the first time: Gatsby stands, with outstretched…

• THE GREAT GATSBY

Describe the mystique that surrounds Gatsby The Great Gatsby by F. Scott Fitzgerald..

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What are Montresor’s fears in “The Cask of Amontillado”?

Montresor’s greatest fear in “The Cask of Amontillado” is that he will be caught during his crime and be incarcerated for murder. So, he painstakingly details every facet of his plot against…

• SOCIAL SCIENCES

Does allowing gays in the military compound the problem of discrimination or does it tear down…

There is no way to know the answer to this question at this point in time. We have not yet seen the effects that the repeal of “don’t ask, don’t tell” will have. We may never know because the…

• GRAMMAR

When I decide to make my son become a doctor, can I say to him “You shall become a doctor”?In…

“Shall” is a different way to express “will” and it is what you could call an “older” version of the expression. Anytime that you learn of something which is meant to take place you definitely can…

• GREAT EXPECTATIONS

Why does Dickens have Pip recall, on his coming of age, the day he met the convict in the…

Magwitch, the convict, was instrumental in shaping Pip’s success. Pip has no idea. For the longest time, Pip assumed that he was being shaped into a gentleman by Miss Havisham so that he could…

• JULIUS CAESAR

At the end of scene2 of Act I, in lines 312-326, what plans does Cassius make?Julius Caesar by…

In Act I, Scene 2 of Julius Caesar, a scene known as the “seduction scene,” Cassius appeals to his and Brutus’s friendship; then, along with Casca, he recounts the events and actions of Caesar that…

• MATH

What are the two consecutive odd numbers such that three times the first is 5 more than twice the…

Let the first number be x. Then the next odd number will be x+2. Now given that 3 times the first = 5 more that twice the second. We will translate into algebraic equation. ==> 3*(x) = 5 +…

• LITERATURE

role of borrowing Discuss the role of BORROWINGS from other languages in the development of…

Borrowing has left modern English with a greatly expanded vocabulary. This borrowing has been going on for such a long time that we are not aware of the foreign origins of many words. The only…

• THE CHRYSALIDS

In The Chrysalids by John Wyndham, what decisions does David make, and how do they conflict with…

It is necessary to first establish what David’s moral values are so that his decisions can be seen to accord or to conflict with these values. Also, as you’ll see, there are two levels of a…

• MATH

Use trigonometric identities to calcuate sin(345)

We need to use the trigonometric identities to find the values of sin(345). First we need to rewrite 345 as a product of two common angles. ==> 345 = 120 + 225 We know that 120 = (60 degrees in…

• NO-NO BOY

Based on Okada’s characterization of Ichiro as a no-no boy. Detail how you believe Okada himself…

From the way that Okada portrays Ichiro in this book, it makes sense to infer that Okada himself was glad of his decision to answer the questions with a “yes-yes.” A reader can infer this from all…

• MATH

Find the values of sinx, tanx, secx, and cscx if cosx = 0.23

Given cos(x) = 0.23 We need to find sin(x), tan(x) , sec(x), and (csc(x). First, we know that sec(x) = 1/cos(x). ==> sec(x) = 1/(0.23) = 4.3478. ==> sec(x) = 4.3478. Now we will use the…

• MATH

Solve for x. ln x^3 = 2 + ln x

Given the logarithm equation: ln x^3 = 2 + ln x We need to fin x value that satisfies the equation. First we will subtract ln x from both sides. ==> ln x^3 – ln x = 2 Now we will use the…

• MATH

For what values of t does the inequality hold? 5-3l 2t-3l < -16

Given the inequality: 5 – 3 l 2t -3 l < -16 First, we will solve the way we solve any equation. We need to isolate the absolute values on the left side. Let us subtract 5 from both sides….

• RIP VAN WINKLE

In “Rip Van Winkle,” how did Rip react when he realised that everything had changed?

We can’t help feeling sorry for poor Rip Van Winkle when he returns to his “home” after his twenty year nap. He is quite clearly bewildered as he returns to his village to find so many differences…

• MATH

what are a and b is a+3b=-3 and 2b=a-12.

Given the equations: a + 3b = -3 …………..(1) 2b = a -12 ==> -a+2b = -12 …………(2) We have a system of two equations and two variables. Then, we will use the elimination method to…

• MATH

What is the surface area of the cylinder whose radius is 6 in and the height is 17 in.

Given the cylinder such that the radius of the base is (r) = 6 in Also, given that the height of the cylinder is (h) = 17 in. We need to find the surface area of the cylinder. We know that the…

• MATH

Find the absolute value of z is z= (2i-1)/(3+4i).

Given the complex number z = (2i-1)/(3+4i) We need to find the absolute values of z = l z l. First we need to simplify z and rewrite into the standard form z= a+ bi. First we will multiply both…

• ETHAN FROME

In Ethan Frome, explain how Harmon’s statement is ironic when he says that Ethan’s pride will not…

Ethan Frome by Edith Wharton is the tragic story of Ethan Frome of Starkfield, Massachusetts. The Fromes have always been poor, and once Ethan’s parents died things got even worse. Harmon Gow’s…

• MATH

If 2z+3-2i = (2z-i)/2 find z.

We are given the complex equation: 2z + 3 – 2i = (2z-i) /2 We need to find z into the format of a complex number (a+bi) First we will multiply by 2. ==> 2(2z+3-2i) = 2z-i ==> 4z +6 -4i =…

• MATH

2xy + x^2 = 3y +y^2 find y’.

Given the equation: 2xy + x^2 = 3y + y^2 We need to find y’ or dy/dx We will use implicit differentiation to find y’ ==> Let us apply the differentiation for all terms. ==> (2xy)’ + (x^2)’ =…

• MATH

The product of two consecutive numbers is 182. What are the numebrs.

Given that the product of two consecutive numbers is 182. Let us assume that the first number is x. Then, the next number will be x+1. We will rewrite the product of both numbers. ==> x*(x+1) =…

• MATH

Find the area of the base of a cylinder is h=12 in and v=39 in^3.

Given the volume of the cylinder is v=39 in^3 We will use the formula of the cylinder volume to solve. We know that: V = r^2 *pi * h such that v is the volume, r is the radius, and h is the…

• MATH

If log 5a – log (2a-3) = 1, find a.

Given the logarithm equation: log 5a – log (2a-3) = 1 We need to find the value of “a” that satisfies the equation. We will use the logarithm properties to solve. We know that log a – log b = log…

• MATH

What is the length of the side of a cube whose surface area is 384 cm^2.

Given that the surface area of a cube is 384 cm^2 We need to find the length of the side of the cube. Let us assume that the side is x cm. Then we know that the area of one of the cube faces is…

• MATH

Determine the extreme value of the function h(x) = 5x-3x^2

Given the function: h(x) = 5x-3x^2 We need to find the extreme values for h(x) First, we need to find the first derivative h'(x). ==> h'(x) = 5 – 6x Now we will determine the derivatives zero….

• SOCIAL SCIENCES

An advertisement has an amputated hand and a cigarette. Why is this format addressed to young as…

It seems that there is the element of fear in that ad. Losing a hand would be devastating to young and old, alike. Psychologically, it seems to show how absurd it would be to continue smoking even…

• SOCIAL SCIENCES

I have advert with bloody amputated hand with cigattere, How can I explain how this form is…

the bacground is very gloomy and dark.

• GARY SOTO

has anyone read Jesse by Gary Soto? I’m trying to get summary info and discussion threads

The story Jesse by Gary Soto is about two young Mexican American men; Jesse and his older brother Abel. The story takes place during the early 1970’s in Fresno. In the beginning, Jesse decides to…

• ETHAN FROME

Based on what Edith Wharton writes, what illness or “trouble” do you suppose Ethan Frome’s mother…

Edith Wharton’s Ethan Frome is the story of a very unfortunate man. Ethan Frome lives in a place called Starkfield, a city which tends to suck the very life out of those who live there. Ethan has…

• THE LADY OR THE TIGER?

Please give an example of a figure of speech in “The Lady, or the Tiger?”

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• THE RED PONY

Is the tone of The Red Pony misleading, straightforward or neutral when telling the story?

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• FRANKENSTEIN

I need the conclusion of Frankenstein.

Victor Frankenstein and the monster meet in the cemetery. Frankenstein vows to avenge the deaths of William, Alphonse and Elizabeth. He looks up to see the monster, who followed him there and…

• MATH

Why can zero not be divided?

A lot of great & detailed answers above so I will just add my small note: Zero has no value. It is more-or-less, “not allowed” to divide a number by 0. If it were possible, a lot of math rules…

• THE SCARLET LETTER

In The Scarlet Letter, why does Hester go to the Governor’s house?

Hester has heard that the Governor is thinking about taking Pearl away from her. She goes in order to argue against this idea. The idea is that Pearl is getting a little out of control and could…