Question: Vector calculus practice problems; f13. Let C be the the rectangle in R3 with vertices (0, 0, 0), (1, 0, 0), (1, 1, 1), and

Vector calculus practice problems;

$Vector calculus practice problems; \f13. Let C be$ $Vector calculus practice problems; \f13. Let C be$ $Vector calculus practice problems; \f13. Let C be$ $Vector calculus practice problems; \f13. Let C be$ $Vector calculus practice problems; \f13. Let C be$

\f13. Let C be the the rectangle in R3 with vertices (0, 0, 0), (1, 0, 0), (1, 1, 1), and (0, 1, 1), oriented in the given order. Use Stokes's Theorem to evaluate the following integral: f sin(a? ) de + ry' dy + x23 da14. Let S be the boundary of the region a + y' : 4, 0 > 3. Use Stokes's Theorem to evaluate (2yz j - 2 k) . dA.15. Let S be the surface in R defined by the parametric equations 2 + cost + cost 0 2 TT 2 7 = sinu Use the divergence theorem to find the volume of the region inside of S

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