(a) F (2y, 3r, -22) and S is the hemisphere. √√9-x² - y².

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.5: The Area Between Two Curves
Problem 21E
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21. Verify Stokes' theorem in the following cases, by evaluating the integrals on both sides.
(Remember that the boundary C may consist of more than one curve.)
(a) F (2y, 3x, -22) and S is the hemisphere z =
=
√9-x² - y².
(b) F (z, x, y) and S is the portion of the plane 2x + 2y + z = 2 lying in the first
octant.
Transcribed Image Text:21. Verify Stokes' theorem in the following cases, by evaluating the integrals on both sides. (Remember that the boundary C may consist of more than one curve.) (a) F (2y, 3x, -22) and S is the hemisphere z = = √9-x² - y². (b) F (z, x, y) and S is the portion of the plane 2x + 2y + z = 2 lying in the first octant.
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ISBN:
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