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
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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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17.3 #6
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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