Question: 10. Use the Divergence Theorem to calculate the Surface integral Jf F ds That is, calculate the flux of F across the Surface S Where

 10. Use the Divergence Theorem to calculate the Surface integral JfF ds That is, calculate the flux of F across the Surface

S Where the Vector Field F = (x4, -x3z2, 4xy z) andS is the surface bounded by x2 + y? =4 and the

10. Use the Divergence Theorem to calculate the Surface integral Jf F ds That is, calculate the flux of F across the Surface S Where the Vector Field F = (x4, -x3z2, 4xy z) and S is the surface bounded by x2 + y? =4 and the planes z = x + 4 and z = 09. Use Stokes' Theorem to evaluate In l3: - d\"? where C is oriented counterclockwise as viewed from above. Where x, y, 5) = (x +y2)i + (y + :2)j + {'5 + x2)k, and C is the triangle with vertices [2, 0, 0), (U, 2, U), and (U, U, 2)

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