a. Sketch the solid S:= {[x; y; z] in |R3 | x,y,z ≥ 0, and 2x...

Question

Question

a. Sketch the solid
S:= {[x; y; z] in |R3 | x,y,z ≥ 0, and 2x + 4 y + 2z ≤ 12}.

b. Using your calculator evaluate, i) as a triple integral and ii)
by the divergence theorem, the volume of S.

c. Find i)the surface area of the solid S and ii)the
flux thru the top of S due to the vector field F, where
F(x,y,z) = ( x + yz , y + xz , z + xy ).

Answer 1

Answer #1

Answer 2

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