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# (20 points) Consider the solid cube E = {(32, y, z) : 0 S a: S 2, 0 S y S 2, O S 2 S 2}. The boundary surface S of E is a closed sixsided box. Dene...

Please, I need some help, it is flipped, but as you see it goes from a to d.

9. (20 points) Consider the solid cube E = {(32, y, z) : 0 S a: S 2, 0 S y S 2, O S 2 S 2}. The boundary
surface S of E is a closed six—sided box. Deﬁne a vector ﬁeld on R3 by F(22, y, z) = mzi + Bmzj + 222k. (3.) Find div F. (b) Find the flux of F through the top face of S (at z = 2), oriented upwards.

(c) Use the Divergence Theorem to ﬁnd the ﬂux of F through 8. ((1) Find the ﬂux of F through the ﬁve—sided open box obtained by removing the top face from 5’.

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