MATH 253  Section 501 – 503  P. Yasskin  Fall 1996

Suggested Homework Problems

TEXT: Calculus, Third Edition — James Stewart, Brooks/Cole Publishing, 1995

m = DO USING MAPLE p = PLOT IT or DO THE PLOTS USING MAPLE √ = CHECK USING MAPLE

Chapter 11. Three-Dimensional Geometry and Vectors

§11.1 # 3p(Use spacecurve), 5p, 7, 9, 10p, 13p(Use implicitplot), 17^{√}(Use completesquare), 22p, 25, 29, 31, 35, 36, 40, 41, 42, 45, 46, 47

§11.2 # 1p(Use plot), 5p(Use spacecurve), 7^{√}, 9, 11^{√}, 14^{√}, 17, 20^{√}, 21, 23, 24^{√}, 27m, 29, 31, 32^{√}, 33, 34m

§11.3 # 1, 4^{√}(Use dot), 5, 7, 11^{√}(Use dot & len), 14^{√}, 15^{√}, 17m(Use angle), 21, 22^{√}, 23, 27, 28^{√}, 37, 39^{√}, 41, 43, 45, 48^{√}, 49, 50^{√}, 51, 57p(Use spacecurve)

§11.4 # 1, 4^{√}(Use cross), 7, 8, 9, 10m, 11, 19, 20^{√}, 21, 24^{√}, 25, 28^{√}, 31, 32m, 40

§11.5 # 1, 3p(Use spacecurve), 5, 11, 13, 15, 17, 19^{√}, 25^{√}, 29^{√}(Also give the parametric form.^{√}), 31(Also give the parametric form.), 35^{√}, 37m, 43, 47, 51^{√}, 55, 63, 65

§11.6 # (Identify the surface and use Maple to plot these surfaces: 1, 2, 3, 4, 5, 6, 7, 9), 17-24, 29^{√}(Use completesquare), 32^{√}, 33, 39m, 40m, 41, 42, 43, 44

§11.7 # 1, 2, 3, 4, 5, 6, 7, 9, 10^{√}(Use spacecurve), 12^{√}, 15, 17m, 18m, 19m, 20m, 23, 25^{√}, 27, 31^{√}, 34^{√}, 35, 37, 39p(Use plot), 41, 44^{√}, 45, 47, 49, 51m, 53, 58^{√}, 59, 61, 62^{√}, 69, 70^{√}, 74

§11.8 # 1, 2^{√}, 3, 4^{√}, 6m, 7^{√}, 11, 12^{√}, 15, 17^{√}, 19, 25m, 31, 32m, 33, 37, 41, 47m, 48^{√}, 49m

§11.9 # 1, 3p(Use plot), 5, 9, 12^{√}, 13, 15, 17, 18m, 19, 20, 23, 27^{√}, 31^{√}, 33

§11.10 # Skip until Chapter 13