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Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate...

Use the Divergence Theorem to calculate the surface integral

S

F · dS;

that is, calculate the flux of F across S.

F(x, y, z) = ey tan(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.

Math   Calculus   
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