Question

Find the flux of the vector field
H = 4xy i  + z^2 j  + 12y k 
out of the closed box 0 ≤ x ≤ 3, 0 ≤ y ≤ 2, 0 ≤ z ≤ 8.

Answer 1

use divergence thm

Answer 2

hi baby

Answer 3

I got div H= y
so flux is \[\int\limits_{0}^{8}\int\limits_{0}^{2}\int\limits_{0}^{3}ydxdydz\]

Answer 4

equals 48 right but its making it wrong

Answer 5

hi

Answer 6

what am I doing wrong?

Answer 7

you're missing a 4 i think..

Answer 8

yeah!

Answer 9

120+32=152

Answer 10

152?

Answer 11

oops

Answer 12

160+32=192

Answer 13

48 * 4=192

Answer 14

:)

Answer 15

so the div H=4y right?

Answer 16

thanks guys

Answer 17

divergence(Pi + Qj + Rk) = P_x + Q_y + R_z

Answer 18

divergence(4xy i  + z^2 j  + 12y k ) = 4y + 0 + 0 = 4y

Answer 19

refresh to see that mess

Answer 20

I see it now