Quest Assignment 20-problems

# Quest Assignment 20-problems - saliyev (is4663) Quest...

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Unformatted text preview: saliyev (is4663) Quest Assignment 20 rodin (54520) This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points 4. I = 4 e4 - 1 5. I = 4 e4 + 1 003 10.0 points 1 Reverse the order of integration in the integral 8 4 Reverse the order of integration in the integral 6 ln 6 I = 0 x/2 f (x, y) dy dx , I = 1 but make no attempt to evaluate either integral. 4 8 f (x, y) dy dx , ln x 1. I = 0 8 2y 4 f (x, y) dx dy f (x, y) dx dy 0 8 y/2 y/2 but make no attempt to evaluate either integral. 6 ey 2. I = 3. I = 0 8 0 y 1. I = 0 ln 6 6 6 f (x, y) dx dy f (x, y) dx dy f (x, y) dx dy 0 4 4 2y 2. I = 0 6 ey ln 6 f (x, y) dx dy 4. I = 5. I = 0 4 0 8 3. I = 1 0 6 6 f (x, y) dx dy f (x, y) dx dy 4. I = 0 f (x, y) dx dy ey 6 ln 6 6. I = 0 y f (x, y) dx dy 002 10.0 points 5. I = 1 ln 6 f (x, y) dx dy ln y ey Evaluate the double integral I = A 16yex dxdy 2 6. I = 0 1 f (x, y) dx dy when A is the region in the first quadrant bounded by the graphs of x = y2, x = 2, y = 0. 004 10.0 points Find the volume of the solid in the first octant bounded by the cylinders x2 + y 2 = 4 , y2 + z2 = 4 . 1. I = 16 e4 + 1 2. I = 8(e4 - 1) 3. I = 4e 4 Hint: in the first octant the cylinders are shown in saliyev (is4663) Quest Assignment 20 rodin (54520) z 3/2 3 1 4y 2 4x2 2 y 4. I = 0 f (x, y) dx dy 5. I = f (x, y) dx dy 3/2 3 006 2 10.0 points Evaluate the iterated integral 2 2 4-y I = 0 - 4x2 y 2 dxdy 4-y 2 2 x by converting to polar coordinates. 1. I = 5 2. I = 16 3 16 cu. units 1. volume = 3 2. volume = 6 cu. units 3. volume = 4. volume = 10 cu. units 3 14 cu. units 3 3. I = 6 4. I = 5. I = 19 3 17 3 007 10.0 points 5. volume = 4 cu. units 005 10.0 points I = Evaluate the iterated integral 4 0 0 16-x2 Reverse the order of integration in the integral 4 1 ex 2 +y 2 dydx I = 3 f (x, y) dy dx, x/2 by converting to polar coordinates. 1. I = (e4 - 1) 2. I = (e16 - 1) 3. I = 1 (e4 - 1) 2 1 4. I = (e16 - 1) 2 1 5. I = (e16 - 1) 4 1 6. I = (e4 - 1) 4 but make no attempt to evaluate either integral. 1 3 1. I = 2. I = f (x, y) dx dy 3/2 2y 2 2y 2 1 3/2 3/2 3 f (x, y) dx dy 2 3. I = 0 9y 2 f (x, y) dx dy saliyev (is4663) Quest Assignment 20 rodin (54520) above the cone 008 The plane z = 4 and the paraboloid z = 6 - 2x2 - 2y 2 enclose a solid as shown in z 1. V = 2. V = 3. V = 4. V = y x Use polar coordinates to determine the volume of this solid. 1. volume = 2. volume = 3 5 3. volume = 2 4. volume = 2 5. volume = 3 2 10.0 points 5. V = 6. V = 10.0 points z = and below the sphere x2 + y 2 + z 2 = 16 . 16 2- 2 3 256 2 3 16 2 3 256 2- 2 3 64 2 3 64 2- 2 3 010 10.0 points x2 + y 2 3 The solid shown in 009 Use polar coordinates to find the volume of the solid shown in z lies inside the sphere x2 + y 2 + z 2 = 16 y and outside the cylinder x x2 + y 2 = 4 . Find the volume of the part of this solid lying above the xy-plane. saliyev (is4663) Quest Assignment 20 rodin (54520) 1. volume = 8 3 2. volume = 16 3 3. volume = 16 3 4. volume = 8 3 5. volume = 24 3 6. volume = 24 3 4 ...
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## This note was uploaded on 02/21/2012 for the course M 408d taught by Professor Sadler during the Fall '07 term at University of Texas at Austin.

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