Question 1:

Evaluate p xy-dx + x'dy, where C is the rectangle with vertices (0,0), (6,0), (6,5), C and (0,5)Evaluate y'dx - x'dy, where C is the boundary of the region between the C circles x2 + y = 1 and x2 + y= 25Use Green's Theorem to evaluate f 1:"1 - d?, where 171$, 31) = (lmy, 314 + 3) and C C is the rectangle with vertices (3,5), (8,5), (8,8), and (3,8). The integral obtained from from Green's Theorem is f/DlldA where D is the interior of the rectangle. This evaluates to