Chapter 7 1. Sketch the region bounded by the graphs of y = xe"* + 2, y =0, x =0 and x = 1. Then determine the area between the two curves. Exact answer. No decimals. 2. Sketch the region bounded by the graphs of f (x) - x, f(x) = 4x -x2. Then determine the volume when the region is revolved about the y - axis. Exact answer. No decimals. 3. Sketch the region bounded by the graphs of f (x) = x', f(x) =0 x =2. Then determine the volume when the region is revolved about the line x = 4. Exact answer. No decimals. 4. Find the surface area of the surface generated by revolving f (x) = x* + 2x, x = 0 x = 1 about the y - axis. Use your calculator and round to the hundredth place. Chapter 8 All calculus work must be done completely by hand - no calculators! 1 . ( 2 7 13 Ja/ Sec?| 2 dx 2. J. x(sin dx 3. Scos? (3x) dx 4 . (Vx-25 dx X 5 . 3 Jozx 2 + 5x+ 2 dx lim- *+ 2x+ 3 6. x-1 7. S z dx