Do the work on your own paper.

1. Write a differential equation for the statement: The rate of change of y with respect to x is proportional to y - 4.

2. Solve the differential equation obtained in problem 1.

3. Evaluate: arcsin (-1/2) =

4. Evaluate: arccos (- 1/2)

5. Evaluate : cos (arcsin (5/13))

6. Differentiate y = 2x arcsin(3x)

7. Differentiate y = arctan(x/4)

8. Integrate

9. Integrate

10. Integrate

11. Integrate:

12. Find the area of the region bounded by

f(x) = x² - 4x + 3, and g(x) = -x² + 2x + 3

13. Find the volume of the solid formed by revolving the region bounded by y = 4 - x² and y = 0 about the x axis.

14. Find the volume of the solid formed by revolving the region bounded by y = x² , the x axis, and the line x = 2 about the y axis.