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2007midterm2

# 2007midterm2 - MAT21B Midterm II Dr Qinglan Xia Nov.16 2007...

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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 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 2 - 2 (4 - x 2 ) 2 dx B. V = π 2 - 2 (4 - x 2 ) 2 - x 4 dx C. V = 2 π 2 - 2 [2 - x 2 ] dx D. V = π 2 - 2 x 4 - (4 - x 2 ) 2 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 = 2 π 0 π (1 + cos x ) 2 dx B. V = 2 π 0 πx (1 + cos x ) dx C. V = 2 π 0 2 πx (1 + cos x ) dx D. V = 2 π 0 2 π (1 + cos x ) 2 dx 3. Find the length of the parametric curve x = e 3 t , y = 2 t on the interval 0 t 1 A. L = 1 0 9 e 6 t + (2 t ln 2) 2 dt B. L = 1 0 ( e 3 t ) 2 + (2 t ) 2 dt C. L = 1 0 9 e 6 t + (2 t ln 2) 2 dt D.

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2007midterm2 - MAT21B Midterm II Dr Qinglan Xia Nov.16 2007...

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