The second exam covers Sections 7.3, 7.4, 8.1, 8.2, 8.3, 8.5, 8.7, and 8.8. You should go over homework problems as well as your class notes. Some sample problems are listed below. The exam will be designed to take the full class period (45-50 minutes). You will need a CALCULATOR to do any of the area approximation problems from Section 7.3. You are NOT allowed to use your calculator to store formulas or do symbolic or numerical integration. Any such use will be considered a violation of the honor code.

**Exam Review Session:** Thursday, April 11, 5:30 - 6:30 pm, Swords 359

**Chapter 7 review, pp. 594-595**

Problems: 15, 17, 18, 20, 22, 24

The answers to the odd problems are in the back of the book.
The answers to the evens are:

18. 1

20. 3

22. Trapezoid 1.491, Simpson 1.464

24. Trapezoid 8.131, Simpson 8.041

**Chapter 8 review, pp. 687-689 **

Problems: 4, 8, 11, 12, 20, 22, 26, 29, 31, 35, 37, 43, 45, 47, 49

The answers to the odd problems are in the back of the book.
The answers to the evens are:

4. The set of all ordered pairs (u,v) of real numbers such that u >= 0 and u is not
equal to v.

8. The level curves are lines.

12. f_x = 2xy^3 + 3y^2 + 1/y, f_y = 3x^2 y^2 +6xy - x/y^2

20. f_x = 4x/(1+2x^2+4y^4), f_y = 16y^3/(1+2x^2 + 4y^4)

22. f_xx = 6x-4y, f_xy = f_yx = -4x, f_yy = 2

26. g_xx = 2(1+2x^2)e^(x^2+y^2), g_xy=g_yx = 4xye^(x^2+y^2), g_yy =
2(1+2y^2)e^(x^2+y^2)