Use the Divergence Theorem to find the flux of F(x, y, z) = (x³ – e")i+ (y³ + sin z)j+ (2³ – xy)k across the surface of the solid bounded above by z = /4 – x² – y? and below by the xy-plane with outward orientation. Hint: Use spherical coordinates. NOTE: Enter the exact answer. 96 Ф 5 II

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Use the Divergence Theorem to find the flux of
F(x, y, z) = (x³ – e³)i+ (y³ + sin z).j+ (z³ – cy)k
across the surface of the solid bounded above by z = V4 – x2 – y?
and below by the xy-plane with outward orientation.
Hint: Use spherical coordinates.
NOTE: Enter the exact answer.
96
||
Transcribed Image Text:Use the Divergence Theorem to find the flux of F(x, y, z) = (x³ – e³)i+ (y³ + sin z).j+ (z³ – cy)k across the surface of the solid bounded above by z = V4 – x2 – y? and below by the xy-plane with outward orientation. Hint: Use spherical coordinates. NOTE: Enter the exact answer. 96 ||
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