Practice Exam III

Note: the actual exam will be shorter than this.

1.

(Double Integrals)

(a)

Page 955, #1.

(b)

Page 955, #3.

(c)

Page 955, #5.

2.

(Area and Volume)

(a)

Page 903, #9.

(b)

Page 955, #7.

3.

(Integration in Polar Coordinates)

(a)

Page 955, #15.

(b)

Page 620, #31.

4.

(Mass and Centroid in 2 Dimensions)

(a)

Page 955, #17.

(b)

Page 955, #19.

5.

(Triple Integrals)

(a)

Page 956, #28.

(b)

Page 956, #25.

(c)

Page 955, #9.

6.

(Surface Area)

(a)

Page 956, #44.

(b)

Page 945, #20.

Other things you should know include: Riemann sums, what sort of problems can be done using double integrals and what sort can be done using triple integrals, and when you are likely to want to use rectangular, polar, cylindrical, and spherical coordinates if the problem does not specify.