Math 152 Exam 2 Review WIR Fall '09

Section 8.3

1. Find each integral.

Section 8.4

2. a) b) c)

Section 8.9

3. a) b) c) d) e)

f)

Sections 9.3 and 9.4

4. Find the length of the curve.

a) the spiral parameterized by

5. Find the surface area of a cone with base radius r and height h.

6. Find the surface area if a) , is rotated about the x-axis.

b) , is rotated about the y-axis.

10.1

7. Determine if the sequence is monotone increasing, decreasing or neither.

b) c)

8. Find the limit if the sequence converges.

a) b) c)

10.2, 10.3

9. Find the sum or show the series is not convergent.

a) b) c)

d) e) f)

g) h)

10. Test for convergence and estimate for .

11. Determine whether or not the series converges.