Question 1:

Use Green's Theorem to evaluate / F - d where C F= 0 consists of the arc of the curve :9 = 53: 3:2 from (0,0) to (5,0) and the line segment from (5,0) to (0,0). Hint: Check the orientation of the curve before applying the theorem. Use Green's Theorem to evaluate % 13 - d where 1333,19!) = (23; + 9, 4:3 6) and C C is the circle given by 3:2 + :92 = 64 oriented counterclockwise. The integral obtained from from Green's Theorem is [/13 M where D is the interior of the circle. This evaluates to Find the area of region enclosed by a = t - t, y = t - t, 0