1. Compute
for a path beginning at (3,0) and ending at (0,-3).
2. Compute
for a path C given by r = <2+3t, 1-5t> for t
between 0 and 1.
3. Compute
where C is the rectangle having vertices (0,0), (2,0), (2,3), and (0,3)
by applying Green's Theorem.
2. Compute for a path C which is an arc of a circle (centered at the origin) of radius 3 passing counterclockwise through the first and second quadrants.
3. Compute
where C is the quadrilateral having vertices (0,0), (2,0), (2,5)
and (0,3) by applying Green's Theorem.