### Chapter 12: Vectors and geometry of space

Section 12.1: 1-15 (odd), 19a, 23, 27, 29, 33, 35, 37, 39
Section 12.2: 1, 3, 5, 9, 11, 13, odd 19-31, 35, 37, 39
Section 12.3: 1, 3, 5, 7, 11, 13, 15, 19, 23, 25, 27, 35, 37, 47
Section 12.4: 1, 3, 7, 9, 11, 15, 23, 25, 41
Section 12.5: 1, 3, 5, 13, 19, 25, 27, 31, 33, 43, 45, 49, 57, 61
Section 12.6: 1-10 (odd), 11, 13, 15, 21-28, 29, 32, 33, 34, 42, 50

### Chapter 14: Partial Derivatives

Section 14.1: 1, 3, 5, 11-20 (odd), 23, 30, 35-38 (odd), 39-46 (odd), 55, 57, 59, 61, 63
Section 14.2: 1-14
Section 14.3: 1, 3, 5, 7, 9, 11, 15-38 (odd), 39, 41, 43, 45, 47, 49, 51-68 (odd), 71, 72, 73, 81, 87
Section 14.4: 1-6 (odd), 11, 13, 15, 17, 19, 25, 27, 29, 31, 33, 37, 41
Section 14.5: 1-12 (odd), 13, 17, 19, 21, 23, 25, 27-34 (odd), 35, 39, 45, 51, 53
Section 14.6: 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 37, 39, 41, 43, 47, 53, 55, 61
Section 14.7: 1, 3, 5-18 (odd) [find critical values only], 19, 29-36 (odd),39, 41, 43, 45, 47, 49, 51
Section 14.8: 1, 3-17 (odd),19 ,25 ,27-39 (odd), 41

### Chapter 15: Multiple intergrals

Section 15.1: 3a, 11, 13, 17
Section 15.2: 1-22 (odd), 25, 27, 29, 35
Section 15.3: 1, 3, 5, 7-28 (odd), 31, 39-50 (odd), 51, 55
Section 15.4: 1, 3, 5, 7-14 (odd), 15, 17, 19-27(odd), 29, 31, 33, 35, 37
Section 15.5: 1, 3-10(odd), 11, 13, 15
Section 15.6: 1, 3, 5, 7, 9-22 (odd), 29, 33, 35, 37, 39
Section 15.7: 1, 3, 5, 7, 9, 11, 13, 15, 17-25 (odd), 27, 29
Section 15.8: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21-39(odd), 32ab, 33, 35, 37, 39, 44