# PSU MATH 140A - MATH 140 Quiz 9 (2 pages)

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## MATH 140 Quiz 9

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Problems/Exams

- Pages:
- 2
- School:
- Pennsylvania State University
- Course:
- Math 140a - Calculus, Analytic Geometry, Algebra, and Trigonometry

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MATH 140A 2 4 Quiz 9 11 21 2003 Name SSN Total 30 points Show all your work Find the following indefinite integrals check the correctness of your answer by differentiation 1 4x 1 2 dx 2 9x4 5 5x1 3 dx 3 tan2 2x dx 4 cos2 4 d 5 Suppose y 6 cos x y 0 4 and y 0 2 find y continue 6 What is the area of the largest rectangle which can be inscribed in the ellipse x2 9 y2 16 1 Hint The problem is easier to solve by substituting x 3cos and y 4sin and find the optimal angle that would maximize the area 7 After more evil doings Mojo Jojo is fleeing east away from the ruin of Townsville at 5 miles per minute Heading north at a speed of 15 miles per minute toward Townsville are the trio of kindergartener superheroes Blossom Bubbles and Buttercup How fast is the distance between Mojo Jojo and the Powerpuff Girls changing at the moment when Mojo is 12 miles away and PPGs are 5 miles from Townsville

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