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2008+9a10t4

Course: MATH 2008, Fall 2010
School: Carleton University
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2008/2009 MATH A Test 4 Thursday, November 18th, 2010 This test has 3 questions (worth a total of 15 marks). Calculators are not allowed. You have 50 minutes. Put a box around your nal answers. 1. (6 points) Find the volume of the solid enclosed by the paraboloids = z x2 + y 2 and z = 18 x2 y 2 . 2. (6 points) z 2 dV , where E lies between the spheres x2 + y 2 + z 2 = 4 and Evaluate E x2 + y 2 + z 2 = 9 in...

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2008/2009 MATH A Test 4 Thursday, November 18th, 2010 This test has 3 questions (worth a total of 15 marks). Calculators are not allowed. You have 50 minutes. Put a box around your nal answers. 1. (6 points) Find the volume of the solid enclosed by the paraboloids = z x2 + y 2 and z = 18 x2 y 2 . 2. (6 points) z 2 dV , where E lies between the spheres x2 + y 2 + z 2 = 4 and Evaluate E x2 + y 2 + z 2 = 9 in the rst octant. 3. (3 points) Find the Jacobian of the transformation x = er cos , y = er sin . 1
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