Evaluate x 2 9 dx in two ways: using trigonometric substitution and using hyperbolic substitution.
Question:
Evaluate ∫ √x2 − 9 dx in two ways: using trigonometric substitution and using hyperbolic substitution. Then use Exercise 31 to verify that the two answers agree.
Data From Exercise 31
Transcribed Image Text:
Verify the formulas sinh-1 x = ln|x + Vx2 +1| cosh¹ x = ln x + √x² − 1| - (for x ≥ 1)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 33% (6 reviews)
Data From Exercise 31 First let x 3 sec 0 Then dx 3 ...View the full answer
Answered By
Diane Joyce Pastorin
Please accept my enthusiastic application to solutioninn. I would love the opportunity to be a hardworking, passionate member of your tutoring program. As soon as I read the description of the program, I knew I was a well-qualified candidate for the position.
I have extensive tutoring experience in a variety of fields. I have tutored in English as well as Calculus. I have helped students learn to analyze literature, write essays, understand historical events, and graph parabolas. Your program requires that tutors be able to assist students in multiple subjects, and my experience would allow me to do just that.
You also state in your job posting that you require tutors that can work with students of all ages. As a summer camp counselor, I have experience working with preschool and kindergarten-age students. I have also tutored middle school students in reading, as well as college and high school students. Through these tutoring and counseling positions, I have learned how to best teach each age group.
4.60+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
3.90 Two men, a tall one and a short one, travel up identical inclines, pulling identical spools by means of ropes wrapped around the hubs. (See Figure P3.90.) The men travel at the same constant...
-
In Exercises 73 and 74, use a graphing utility to graph f and g in the same viewing window to verify that the two functions are equal. Explain why they are equal. Identify any asymptotes of the...
-
The kinetic energy KE of an object of mass m moving with velocity v is defined as KE = 1/2 mv 2 . If a force f(x) acts on the object, moving it along the x-axis from x 1 to x 2 , the Work-Energy...
-
Suggest a systematic process that Daimler could have followed to increase the likelihood of merger success. Provide examples on how Daimler might have made such a process succeed.
-
Context-sensitive relevance Required Respond to each requirement independently. a. Describe two decision-making contexts, one in which unit-level materials costs are avoidable, and the other in which...
-
Describe the audit opinion formulation process. What are the key steps within each of the five phases in the process?
-
PR 8-1 Pop Corporation has owned a 30 percent interest in Son Corporation for ten years, and has properly recorded this investment using the equity method of accounting. On July 1 of the current year...
-
Arthur Company is considering investing in an annuity contract that will return $46,000 annually at the end of each year for 15 years. What amount should Arthur Company pay for this investment if it...
-
A company has 54,000 shares of common stock outstanding. The stockholders' equity applicable to common shares is $702,000 and the par value per common share is $10. The book value per share is:...
-
Prove the reduction formula for n 2: I cos 1 cosh" xdx = cosh"-1 n x sinh x + n-1 = Sco n cosh" 2 xdx
-
Verify that tanh 1 X = In 2 1 + x 1-x for x < 1.
-
How can projects be ranked when initial capital investments are different?
-
The relationship between income and savings, let's look back to the recent credit crisis that sent our economy into the greatest financial crisis since the Great Depression. Watch this short video...
-
Jos Lpez has $15,000 in a 6-year certificate of deposit (CD) that pays a guaranteed annual rate of 4%. Create a timeline showing when the cash flows will occur. (6 points) 2. Oliver Lpez deposits...
-
PROBLEM SET #2 At a large urban college, about half of the students live off campus in various arrangements, and the other half live on campus. Is academic performance dependent on living...
-
Post a compelling argument stating whether leaders are born, made, or a combination of both. Drawing from the discussion of the two current peer-reviewed articles you identified, support your...
-
Unicorn Inc. builds commercial jets and calculate the cost for each jet. For each item below, indicate whether it would be most likely classified as direct labor (DL); direct materials (DM);...
-
Do Problem 13 assuming that the tank has circular cross sections of radius 4 + x feet at height x feet above the base. In problem 13 Find the work done in pumping all the oil (density S = 50 pounds...
-
Briefly discuss the implications of the financial statement presentation project for the reporting of stockholders equity.
-
In problem, solve each inequality. Graph the solution set. x 3 + x 2 < 4x + 4
-
In problem, list the potential rational zeros of each polynomial function. Do not attempt to find the zeros. f(x) = x 5 - 6x 2 + 9x - 3
-
In problem, graph each rational function using transformations. H(x) = -2/x + 1
-
Berbice Inc. has a new project, and you were recruitment to perform their sensitivity analysis based on the estimates of done by their engineering department (there are no taxes): Pessimistic Most...
-
#3) Seven years ago, Crane Corporation issued 20-year bonds that had a $1,000 face value, paid interest annually, and had a coupon rate of 8 percent. If the market rate of interest is 4.0 percent...
-
I have a portfolio of two stocks. The weights are 60% and 40% respectively, the volatilities are both 20%, while the correlation of returns is 100%. The volatility of my portfolio is A. 4% B. 14.4%...
Study smarter with the SolutionInn App