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Unformatted text preview: saliyev (is4663) Quest Assignment 20 rodin (54520) This printout should have 10 questions. Multiplechoice 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 4y I =
0  4x2 y 2 dxdy 4y 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 16x2 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 xyplane. 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.
 Fall '07
 Sadler
 Sequences And Series

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