Calculate the flux of the vector field F ( x , y , z ) = ( 3 z 2

Hailie Blevins

Hailie Blevins

Answered question

2022-06-22

Calculate the flux of the vector field F ( x , y , z ) = ( 3 z 2 y , 2 x 2 y , 2 y 2 z )

Answer & Explanation

America Barrera

America Barrera

Beginner2022-06-23Added 23 answers

Your procedure is correct, it is a good idea to use the divergence theorem. The integral you must compute is, in cylindrical coordinates
0 2 π 0 1 2 r 1 + r 2 r 2 r d z d r d θ = = 2 π 15

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