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Unformatted text preview: Solution to MAT21B Midterm II Dr. Qinglan Xia Nov.16, 2007 Time: 12:101:00pm Name ID Instructions. This is a closed book/notes/friends exam. No calculator is allowed/needed. Totally 100 points. Problem I: Multiple Choices. (70 points total, 7 points each). Please fill in your answers in the following table : Problems #1 #2 #3 #4 #5 #6 #7 # 8 #9 10 Answers B C A D C C B B D B 1. The region bounded by the parabola y = x 2 and the parabola y = 4 x 2 is revolved about the x axis to generate a solid. Find the volume of the solid. A. V = R 2 2 (4 x 2 ) 2 dx B. V = R 2 2 h (4 x 2 ) 2 x 4 i dx C. V = 2 R 2 2 [2 x 2 ] dx D. V = R 2 2 h x 4 (4 x 2 ) 2 i dx . 2. The region bounded by the curve y = 1 + cos x and the x axis between 0 x 2 is revolved about the y axis to generate a solid. Find the volume of the solid. A. V = R 2 (1 + cos x ) 2 dx B. V = R 2 x (1 + cos x ) dx C. V = R 2 2 x (1 + cos x ) dx D. V = R 2 2 (1 + cos x ) 2 dx 3. Find the length of the parametric curve x = e 3 t , y = 2...
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This note was uploaded on 11/17/2010 for the course MAT 21B MAT 21B taught by Professor Mat21b during the Spring '07 term at UC Davis.
 Spring '07
 MAT21B

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