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2007midterm2soln - Solution to MAT21B Midterm II Dr Qinglan...

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Unformatted text preview: Solution to MAT21B Midterm II Dr. Qinglan Xia Nov.16, 2007 Time: 12:10–1:00pm 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 = π R 2- 2 (4- x 2 ) 2 dx B. V = π R √ 2- √ 2 h (4- x 2 ) 2- x 4 i dx C. V = 2 π R 2- 2 [2- x 2 ] dx D. V = π 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 π is revolved about the y- axis to generate a solid. Find the volume of the solid. A. V = R 2 π π (1 + cos x ) 2 dx B. V = R 2 π πx (1 + cos x ) dx C. V = R 2 π 2 πx (1 + cos x ) dx D. V = R 2 π 2 π (1 + cos x ) 2 dx 3. Find the length of the parametric curve x = e 3 t , y = 2...
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2007midterm2soln - Solution to MAT21B Midterm II Dr Qinglan...

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