2-27b Stokes Theorem 2D Bottom of a 1/4 Cylinder

Assume a vector function F = a,Sr si n ¢ + a"'r2 cos¢. a) Evaluate ~F · dt around the contour ABCD A in the
direction a
indicated in Fig. 2-28.
b) Find V x F.
c) Evaluate f(V x F)·ds over the shaded area and compare the result with that obtained in Part (a)