Instructions Please complete these exercises. You will be graded as much on the work you show as on the answers you give. The work you show should represent your thinking on how you should complete the exercises. 1. a. Sketch the region bounded by y :12 x2 and y : 5 6x. b. Find the area of the region. 2. a. Sketch the region bounded by x+ y2 = 8 and x+ y = 2. b. Find the area of the region. 3. Find the volume of the solid of revolution generated by rotating the function f (x) 2 ex on the interval 0 S x S 2 about the x-axis. Include a sketch of this scenario. 4. Find the volume of the solid of revolution generated by rotating the function f (x) = e' on the interval 0 S x S 2 about the y-axis. Include a sketch of this scenario