Question
Asked Nov 2, 2019

 3. Compute E y 2 z 2 dV , where E is the region bounded by x  1  y 2  z 2 and x 

3. Compute y dV, where E is the region bounded by z = 1 -y2 - z2 and r (
E
1
Cos2 tsin2 t dt
(4t - sin(4t))C
32
Hint: You might be able to make use of the fact that
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3. Compute y dV, where E is the region bounded by z = 1 -y2 - z2 and r ( E 1 Cos2 tsin2 t dt (4t - sin(4t))C 32 Hint: You might be able to make use of the fact that

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Expert Answer

Step 1

Region of integration in terms of x,y,z coordinates

Re gion R: bounded by
(r,y,):x1-y- and x = 0.
Re write y' 1-x, and bounded by x = 0
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Re gion R: bounded by (r,y,):x1-y- and x = 0. Re write y' 1-x, and bounded by x = 0

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Step 2

The region E in pola...

In polar coordinates, y =r cost, =rsinf
0srs1-x.0s < 27.0<x<l
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In polar coordinates, y =r cost, =rsinf 0srs1-x.0s < 27.0<x<l

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