jstyopin
20.12.2019 •
Mathematics
Find the flux of f = x3 i + y3 j + z3 k out of the closed surface z = x2 + y2 , 0 ≤ z ≤ 5 oriented outward. g
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Ответ:
The surface is closed, so you can use the divergence theorem:
Then the flux is
where is the region with boundary .
Convert to cylindrical coordinates, taking
Then the integral is
Ответ:
Option C is correct because it is a trinomial with a leading coefficient of 3 and a constant term of -5
Hope this helepd you!
Step-by-step explanation: