Homework Problems
Do all the assigned problems. Turn in only the even-numbered problems.
Section |
Problems |
12.1 (Vectors in the plane) |
19, 22 a)-e), 23, 31, 32, 36, 38,
43, 44, 61 |
12.2 (Vectors in three dimensions) |
7, 21, 22, 23, 24, 25, 28, 31, 34, 45, 46 |
12.3 (Dot products) |
9, 12, 25, 28, 29, 36, 47, 50, 63, 64 |
12.4 (Cross products) |
7, 8, 21, 24, 35, 36, 56, 57, 70, 71 |
12.5 (Lines and curves in space) |
6, 11, 15, 16,
56, 57, 60, 65, 67, 68 |
12.6 (Calculus of vector-valued
functions) |
13, 14, 17, 23, 26, 47, 50, 55, 56, 65, 84 |
12.7 (Motion in space) |
11, 18, 25, 26 |
13.1 (Planes and surfaces) |
11, 12, 17,
20, 21, 29, 30, 31, 34, 35, 36, 71, 72, 79, 80, 81, 82, 83, 84, 85, 86 |
13.2 (Graphs and level curves) |
11, 12, 16, 17, 18, 22,
29,
32, 36, 38,
48, 49,
50, 53, 72 |
13.3 (Limits and continuity) |
15, 18, 19,
24, 26, 27, 30, 32, 43, 44, 81 |
13.4 (Partial derivatives) |
13, 22, 23,
26, 33, 34, 53, 57, 59, 64, 80, 90 |
13.5 (The chain rule) |
9, 14, 17,
21, 26, 31, 32, 34, 39, 40, 53, 54 |
13.6 (Directional derivatives
and gradient) |
9, 10, 19, 26, 29, 32, 43,
48, 55, 60, 65, 66 |
13.7 (Tangent planes and linear approx.) |
11, 14, 17,
18, 22, 25, 28, 45, 46, 48, 50, 51 |
13.8 (Maximum/minimum problems) |
21, 22, 26,
28, 39, 40, 43, 45, 46, 48, 55, 56 |
13.9 (Lagrange multipliers) |
11, 14, 23, 24, 26, 28,
30, 57 |
14.1 (Double integrals of
rectangular regions) |
7, 12, 15,
18, 25, 28, 31, 46, 47, 48 |
14.2 (Double integrals over
general regions) |
7, 8, 9,
12, 28, 31, 39, 50, 55, 57, 60, 63, 68, 79, 80 |
11.2 (Polar coordinates) |
15, 16, 20, 27, 34, 36, 61 |
14.3 (Double integrals in polar coordinates) |
25, 26, 28,
31, 39, 42, 51, 52, 56, 66 |
14.4 (Triple integrals) |
7, 8, 11,
12, 15, 16, 17, 20, 22, 25, 26, 30, 39, 40, 49 |
14.5 (Triple integrals in cylindrical & spherical coordinates) |
11, 12, 17, 18, 31, 32, 35, 36, 39, 40, 47, 48 |
14.6 (Integrals for mass calculations) |
15, 16, 21, 26, 27, 30, 33, 34 |