4 √16-x² 3 SS S 1 + -dz dy dx = -4 0 (Type an exact answer, using as needed.)

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.2PS: By expanding (xh)2+(yk)2=r2, we obtain x22hx+h22ky+k2r2=0. When we compare this result to the form...
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C6

Evaluate the following integral in cylindrical coordinates.
√16-x²
3
1
(THE
S S S -dz dy dx
-4 0
0
4
√16-x²
4
3
S S S
-4
0
(Type an exact answer, using as needed.)
1
2
1+x² +
-dz dy dx =
2
←
m
Transcribed Image Text:Evaluate the following integral in cylindrical coordinates. √16-x² 3 1 (THE S S S -dz dy dx -4 0 0 4 √16-x² 4 3 S S S -4 0 (Type an exact answer, using as needed.) 1 2 1+x² + -dz dy dx = 2 ← m
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