Math 264 Calculus III Homework Problems

Below are the required homework problems from each section covered in the textbook. Homework should be scanned and uploaded to the appropriate section assignment.

Chapter 11:
11.1:  5, 9, 11, 17, 21, 23, 27, 35, 39, 43, 47, 51.
11.2:  5, 25, 33, 37, 41, 43, 47, 51, 63, 67, 71, 77, 81, 85.
11.3:  3, 9, 13, 15, 19, 21, 25, 31, 39, 41, 43, 51, 57, 59.
11.4:  3, 7, 11, 13, 15, 21, 23, 33, 35, 37.
11.5:  9, 15, 19, 23, 33, 41, 47, 65, 69, 75, 77, 79, 89, 93, 97, 99.
11.6:  (5-7)*, (8-10)*, 11, 15, 17, 19, 21, 23, 25, 31, 33, 37, 39.
11.7:  7, 11, 17, 21, 27, 29#, 35, 37, 45, 47, 51, 57, 61, 67, (71-73)*, (74-76)*, 81, 83.

Chapter 12:
12.1:  5, 9, 15, 17, 21, 27, 33, 49, 55, 57, 67, 75.
12.2:  3, 7, 9, 13, 17, 19, 25, 29, 35, 37, 41, 49, 51, 55, 57.
12.3:  3, 9, 15, 19, 21, 25, 27, 29, 37, 41.
12.4:  3, 5, 11, 15, 19, 23, 25, 27, 37, 39.
12.5:  5#, 7, 13, 15, 19, 21, 27, 29, 33, 37, 43, 45.

Chapter 13:
13.1:  19, 21, 25, 31, 39#, 41#, (47-50)*, 51, 53, 
13.2:  5, 11, 17, 25, 27, 31, 35, 51, 55, 59, 71.
13.3:  11, 13, 19, 23, 25, 31, 35, 45, 51, 55, 57, 63, 65, 71, 77, 83, 93, 101.
13.4:  3, 5, 7, 9, 11, 15.
13.5:  3, 5, 7, 9, 13, 15, 17, 19, 23, 25, 29, 31, 35, 39.
13.6:  3, 9, 13, 15, 19, 21, 27, 31, 35, 41, 53, 55, 57.
13.7:  7, 9, 13, 19, 23, 25, 29, 33, 39, 43, 45.
13.8:  3, 9, 11, 13, 17, 19, 21, 22, 31, 33, 39, 43.
13.9:  5, 7, 9, 15, 17, 19.
13.10:  3, 5, 7, 11, 15, 21, 23, 33, 37.

Chapter 14:
14.1:  5, 11, 15, 19, 23, 25, 33, 35, 41, 43, 49, 53, 57, 61.
14.2:  7, 9, 15, 17, 21, 25, 29, 31, 49, 55.
14.3:  7, 9, 13, 19, 25, 29, 33, 41.
14.4:  3, 5, 13, 17, 23, 35, 37.
14.5:  3, 5, 9, 13, 27#, 29#.
14.6:  3, 5, 7, 15, 19, 23, 25, 31, 35, 39, 53%.
14.7:  3, 7, 11, 13, 19, 21, 31, 37, 41#, 43#.
14.8:  5, 9, 11, 17%, 19%, 25, 27, 35, 39.

Chapter 15:
15.1:  5, 7, 11, 21, 23, 29, 31, 37, 41, 43, 45, 47, 51, 53, 57, 59.
15.2:  3, 5, 9, 11, 15, 17, 19, 21, 25, 29, 33, 37, 41, 47, 55, 61.
15.3:  3, 7, 9, 11, 13, 15, 19, 21, 23, 25, 31.
15.4:  5, 11, 15, 17, 19, 23, 25, 27, 29, 31, 45.

Problems marked with % have a note below:
14.6 #53:  Evaluate by hand (even though the book says to use a calculator or computer algebra system).
14.8 #17, 19:  In these problems they tell you what substitution to use (in the form x = ..., y = ...). Ignore that and find the substitution yourself using the boundaries of the region R.

Problems marked with # have a hint below:
11.7 #29:  Multiply both sides by r.
12.5 #5:  Factor t2 out from under the square root.
13.1 #39, 41:  Use your knowledge of surfaces from Chapter 11.
14.5 #27, 29:  The problem only asks you to set up (not evaluate) the integral. Use polar on #29.
14.7 #41:  Only do cylindrical.
14.7 #43:  Only do spherical. This one is difficult and is only graded for completion. Make ρ the inner variable. Find its boundaries using the boundaries for z. The upper bound for φ is at the intersection of the boundaries for z.

Groups of problems marked with * count as one problem for grading purposes.