1. (10pts) Given Work: Answer: 1 f (x) with f (5) 3 find f (x) 9x . 2. (10pts) Find the area bounded by y Work: Answers: 2 x , x 2, x 3 and y 0 x1 . 3. (10pts) Find the volume of the region bounded by about the line x = 6. Work: Answer: 2 x y and x 4 revolved 4. (10pts) Find the area of the surface formed by revolving the graph of the interval [0, about the y-axis. 2 Work: Answer: 2 y x on 5. (10pts) Find the centroid of the region bounded by the graphs of . y 4 x2 and y x 2 Work: Answer: 6. (10pts) An open tank has the shape of an inverted right circular cone. The tank is 8 feet across at the top and is 6 feet high. How much work is done in emptying the tank by pumping the water over the top edge? Work: Answer: 7. (10pts) Find an algebraic expression for cos(arcsin(2x)). Work: Answer: 8. (10pts) Evaluate 9/4 3/2 Work: Answer: dx 3x x2 . Hint! Complete the square. 9. (10pts) Problem 34a in section 7.3 of the text. Work: Answer: 10. (10pts) Problem 34b in section 7.3 of the text. Work