Question 1:

Use Green's Theorem to evaluate / F - ds, where C F= 2 C is the boundary of the region enclosed by y = 3:1: a: and the xaxis (oriented positively). g 2 X Compute the flux of the vector field (a', -xy'), out of the rectangle with vertices (0,0), (4,0), (4,6), and (0,6)If C is a circle of radius 4 centered at the point ( 0, 3 ), then evaluate 3y - esin(?) )da + (6x - sin (y' +y) ) dy. value = T. (Note: the factor of it is already there!)