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.