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