1. Let D denote the region in the Jayplane bounded by y =4x+2, y=4x+5, y=32x and y=l2x. a) Carefully sketch and shade the region D . b) Find a transformation from the region D to a rectangular region S in the uv plane. Identify the rectangular region S . 4x 8y dA. c) Use your transformation in part (b) to evaluate U + 2 D y x 2. Evaluate exactly the following line integrals: a) 1+ 25x'yds , where C is the curve y = x' for 0