For No. 1 and 2, explain why you got that answer. For No. 3, show your complete solution neatly and legibly using two methods. 1. If the expression x³√√9x² - 1 occurs in an integral, which trigonometricsubstitution will you use?a.) x = 3 sin 0b.) x = = ²3 sin 0c.) x = 3 sec 01d.) x = = sec 02. What transformation/manipulation can be done to the integrand to solvedxS? Do not evaluate. [Hint: Complete the square in the radicand to√x²+2x+5make it look like any of the three expressions where trigonometricsubstitution is appropriate.]-3√33. Evaluate £³√³x√36-x² dx in two ways (by algebraic substitution or byChain Rule for Integrals and by trigonometric substitution).

As per our guidelines we are supposed to answer only one question. kindly repost other question as a…

Answered: 1. If the expression x³√√9x² – 1 occurs…

Math

Calculus

1. If the expression x³√√9x² – 1 occurs in an integral, which trigonometric substitution will you use?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

With solution
The rest of my solutions, D-F, were not given/solved.
7. Solve for A: (I – 3A")-1 = -2
How would you convert your solution to the form below
How would I solve this? Last year, Jenny had 120 acres more than Mackie, but Mackie sold half of his acres whileJenny bought 200 new acres with the result that Jenny now has 40 acres less than threetimes the number of acres Mackie has. How many acres of land does each farmer ownnow?
Lauren is looking to rent a car. If she goes to Mo’s Rent-A-Car, she will pay $33.00 to rent it plus $.25 every mile she drives. If she goes to CAR-nival Rentals, she will pay $10.00 to rent it plus $1.00 each mile she drives. How many miles, x, will she need to drive for both rentals to cost the same amount, y?
Solve the problem below. For your initial post in Brightspace, copy the description of your company given in the box below and then enter your solution to all three parts (parts a, b, and c) of the problem. To copy the description of your company, highlighting and using "copy" from here in Mobius and then using "paste" into Brightspace should work. However, if when you copy and paste x you get a 2 instead, then change your x2 to x^2. Hint: We covered this topic in "2-1 Reading and Participation Activities: Quadratic Equations" in Module Two. You can check your answer to part b to make sure that you are on the right track. For a certain company, the cost for producing x items is 40x +300 and the revenue for selling a items is 80r - 0.5x2. The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression…
It takes Carl 8 hours to plant his garden, but only 6 hours if his son helps him. How long would it take his son to plant the garden alone?