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Change from rectangular to cylindrical coordinates
Change from rectangular to cylindrical coordinates. (Let r ≥ 0 and 0 ≤ θ ≤ 2π.)
(a)
(−2, 2, 2)
B)
(-9,9sqrt(3),6)
C)
Use cylindrical coordinates.
Evaluate
| x dV | |
 |
|
| E |
,
where E is enclosed by the planes z = 0 and
z = x + y + 10
and by the cylinders
x2 + y2 = 16 and x2 + y2 = 36.
D)
Use cylindrical coordinates.
Find the volume of the solid that is enclosed by the cone
z =
 |
x2 + y2 |
and the sphere
x2 + y2 + z2 = 8.
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