Use the Divergence Theorem to calculate the surface integral ∫∫SF·dS; that is, calculate the flux of F across S.

Question

Question

Use the Divergence Theorem to calculate the surface integral ∫∫_SF·dS; that is, calculate the flux of F across S.

F(x, y, 2) = e^ytan(z)i + y√(3 - x²)j + x sin(y) k,

S is the surface of the solid that lies above the xy-plane and below the surface z = 2 -x⁴-y⁴ , -1 ≤ x ≤ 1, -1 ≤ y ≤ 1

Answer 1

Answer #1

Answer 2

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