Homework Problems
Do all the assigned problems. Turn in only the even-numbered problems.
Section |
Problems |
12.1 (Vectors in the plane) |
17, 20 a)-e), 21, 29, 30, 32, 34,
39, 40, 55 |
12.2 (Vectors in three dimensions) |
7, 21, 22, 23, 24, 25, 28, 29, 32, 39, 40 |
12.3 (Dot products) |
9, 12, 19, 22, 23, 28, 37, 40, 53, 54 |
12.4 (Cross products) |
7, 8, 19, 22, 29, 30, 48, 49, 62, 63 |
12.5 (Lines and curves in space) |
6, 9, 15, 16, 38, 39, 42, 47, 49,
50 |
12.6 (Calculus of vector-valued functions) |
11, 12, 13, 17, 20, 41, 44, 45, 46, 53, 68 |
12.7 (Motion in space) |
9, 14, 19, 20 |
13.1 (Planes and surfaces) |
11, 12, 15,
18, 19, 23, 24, 25, 28, 29, 30, 61--70 |
13.2 (Graphs and level curves) |
11, 12, 14, 15, 16, 18, 27,
28, 32, 34 a), b), d), f), 44, 45, 46, 49, 64 |
13.3 (Limits and continuity) |
15, 18, 19,
22, 24, 25, 28, 30, 35, 36, 67 |
13.4 (Partial derivatives) |
7, 12, 13,
16, 19, 20, 39, 43, 46, 47, 48, 64 |
13.5 (The chain rule) |
7, 12, 15,
17, 22, 27, 28, 30, 35, 36, 49, 50 |
13.6 (Directional derivatives and gradient) |
9, 10, 15, 20, 23, 26, 37,
42, 49, 54, 59, 60 |
13.7 (Tangent planes and linear approx.) |
9, 12, 15,
16, 18, 21, 24, 41, 42, 44, 46, 47 |
13.8 (Maximum/minimum problems) |
17, 18, 22,
24, 33, 34, 37, 39, 40, 42, 47, 48 |
13.9 (Lagrange multipliers) |
7, 10, 15, 16, 18, 20, 22, 49 |
14.1 (Double integrals of rectangular regions) |
5, 10, 11,
14, 19, 20, 23, 38, 39, 40 |
14.2 (Double integrals over general regions) |
7, 8, 9,
12, 20, 23, 29, 36, 41, 43, 46, 49, 54, 63, 64 |
11.2 (Polar coordinates) |
15, 16, 20, 31, 34, 36, 57 |
14.3 (Double integrals in polar coordinates) |
21, 22, 24,
27, 35, 38, 47, 48, 50, 60 |
14.4 (Triple integrals) |
7, 8, 11,
12, 15, 16, 17, 20, 22, 25, 26, 30, 35, 36, 45 |
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 |