Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented counterclockwise. A sketch is helpful. 99(7y- 5.5x2 + 8) - dr. where C is the boundary of the rectangle with vertices (0,0). (3,0). (3.5}. and (0.5) o 43")! - 5,5x2 + 8} - olr = E (Type an exact answer.) 0 Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise. (2x + In 2y)dy- (7y + arctan x ) dx, where C is the boundary of the square with vertices (2, 3), (3, 3), (3, 4), and (2, 4). (2x+ In 2y)dy - (7y2 + arctan x?) ax = (Type an exact answer.)For the following vector eld, compute {a} the circulation on and (b) the outward flux across the boundary of the given region. Assume the boundary curve is oriented counterclockwise. F= (xy,x+2y'}; R isthe parallelogram {My}: 1x5ys4x, o5x54} a. The circulation on the boundary is 0 . b. The outward ux across the boundary is D