2 2 SS xyz ds, where S is that part of the plane z = 7-y that lies in the cylinder x + y² = 16

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Evaluate the following integral using the method of your choice. Assume normal vectors point either outward or upward.
SS»
2
xyz dS, where S is that part of the plane z = 7-y that lies in the cylinder x² + y² = 16
S
The value of the surface integral is
(Type an exact answer, using radicals as needed.)
Transcribed Image Text:Evaluate the following integral using the method of your choice. Assume normal vectors point either outward or upward. SS» 2 xyz dS, where S is that part of the plane z = 7-y that lies in the cylinder x² + y² = 16 S The value of the surface integral is (Type an exact answer, using radicals as needed.)
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