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Unformatted text preview: moseley (cmm3869) HW16 Gilbert (56380) 1 This printout should have 16 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points By changing to polar coordinates evaluate the integral I = integraldisplay integraldisplay R radicalbig x 2 + y 2 dxdy when R is the region braceleftBig ( x, y ) : 9 x 2 + y 2 25 , y bracerightBig in the xyplane. 1. I = 86 3 2. I = 95 3 3. I = 92 3 4. I = 89 3 5. I = 98 3 002 10.0 points By changing to polar coordinates evaluate the integral I = integraldisplay integraldisplay R 4 e x 2 y 2 dxdy when R is the region in the xyplane bounded by the graph of x = radicalbig 4 y 2 and the yaxis. 1. I = 2 (1 e 4 ) 2. I = 4 (1 e 4 ) 3. I = 2 (1 e 2 ) 4. I = (1 e 4 ) 5. I = (1 e 2 ) 6. I = 4 (1 e 2 ) 003 10.0 points The solid shown in lies inside the sphere x 2 + y 2 + z 2 = 9 and outside the cylinder x 2 + y 2 = 4 . Find the volume of the part of this solid lying above the xyplane. 1. volume = 5 5 2. volume = 5 5 3 3. volume = 5 5 3 4. volume = 5 5 5. volume = 10 5 3 6. volume = 10 5 3 004 10.0 points moseley (cmm3869) HW16 Gilbert (56380) 2 The plane z = 3 and the paraboloid z = 8 5 x 2 5 y 2 enclose a solid as shown in z y x Use polar coordinates to determine the vol...
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This note was uploaded on 04/12/2011 for the course M 408d taught by Professor Sadler during the Spring '07 term at University of Texas at Austin.
 Spring '07
 Sadler
 Multivariable Calculus

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