Exam 3 Review Math 152, Week in Review Fall '09

1. Test each for convergence and find the sum when possible.

2. Test for convergence.

3. Test for convergence and estimate the remainder when convergent.

Find a power series and the radius and interval of convergence for each.

4.

5.

6.

7.

8.

9.

Find the Taylor series about a and find the radius and interval of convergence for each.

10.

11.

Find the Maclaurin series for each.

12.

13.

14.

Find the nth degree Taylor polynomial about a and estimate the error ,on the given interval.

15.

16.

17.

Sections 11.2, 11.3

18. Find the distance from the point P(-2, 1, 5) to the plane containing O(0, 0, 0), R(1, -1, 3), and

S(2, -1, 6).

19. Find the volume of the parallelepiped with adjacent sides OP, OR, and OS.

20. Find the distance from the point P(1,2) to the line y = 4x - 7.

21. Find the work done by gravity if a 15 pound object slides 2 feet down an inclined plane which makes an angle of 30 degrees to the horizontal.