Use the Divergence Theorem to evaluate the flux of the field F(x, y, z) = (e²², 3y + sin (x² z), 8z + x² +9y²) through the surface S, where S is the region x² + y² ≤ z ≤ 8 − x² - y². (Give an exact answer. Use symbolic notation and fractions where needed.) [[F S Incorrect FdS= 96π

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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17.3 #6

Use the Divergence Theorem to evaluate the flux of the field F(x, y, z) = (e²², 3y + sin (x² z), 8z + x2 +9y2) through the
surface S, where S is the region x² + y² ≤ z ≤ 8 − x² − y².
(Give an exact answer. Use symbolic notation and fractions where needed.)
OF
Incorrect
F. ds =
96π
Transcribed Image Text:Use the Divergence Theorem to evaluate the flux of the field F(x, y, z) = (e²², 3y + sin (x² z), 8z + x2 +9y2) through the surface S, where S is the region x² + y² ≤ z ≤ 8 − x² − y². (Give an exact answer. Use symbolic notation and fractions where needed.) OF Incorrect F. ds = 96π
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