# 8 Find the area of the region enclosed by the given...

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Math 141, Section 04 & 05, Integral Calculus Exam 2(Self Evaluation Test 2): March 6, 2010 (100 points) Last name : First name : Student No. : Instructions : There are 10 questions on a total of 6 pages, including this cover page. Write your solutions in the space provided. Read each question carefully and show all your work . Provide exact answers (instead of decimal approximations) unless indicated otherwise. Only Sharp EL531M, EL531Q, EL509VHB, EL531VB, and Texas Instruments TI- 32, TI-32-solar, TI-30X, TI-30XA (solar or battery), TI30X-IIS, and TI30X-IIB are permitted. Question Points Score 1 8 2 24 3 8 4 8 5 8 6 8 7 8 8 8 Total: 80
1. (8) Find the area of the region enclosed by the given curves. y = - cos x , y = - tan x , 0 x π 2 1 5 - 1 2 + 5 - 1 2
2. (24) Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line (use both disk method and shell method if possible). 1. x = 1 - y 2 , x = y 2 - 1 about the x