Find the flux of F = (3z + 1)k upward across the hemisphere x2 + y2 + z2 = a2, z>= 0 (a) with the Divergence Theorem and (b) by evaluating the flux integral directly.
Find the flux of F = (3z + 1)k upward across the hemisphere x2 + y2 + z2 = a2, z>= 0 (a) with the Divergence Theorem and (b) by evaluating the flux integral directly.
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.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 25E
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Find the flux of F = (3z + 1)k upward across the hemisphere
x2 + y2 + z2 = a2, z>= 0
(a) with the Divergence Theorem and
(b) by evaluating the flux integral directly.
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