Files are in PDF format. Page numbers are for Early Transcendentals Multivariable Calculus, Sixth Edition by James Stewart.

Last updated 9/25/17

Section	Page	Problems	Solutions
12.1: 3D Coordinate Systems	769	1-9, 11, 15-18, 23-33 odd, 35-38, 41	Solutions
12.2 Vectors	777	1-4, 6, 7-25 odd, 26-29, 31-35, 37	Solutions
12.3 Dot Product	784	1-20, 23, 24, 26, 27, 35-40, 45, 47, 53, 58	Solutions
12.4 Cross Product	792	1-7, 9-12, 14, 15, 25, 26, 30, 31, 34, 35, 36, 45	Solutions
10.1 Parametric Equations	626	1-21 odd, 25-28	See back of book
12.5 Lines and Planes	802	1, 2, 3, 6, 9, 11, 13, 14, 19-24, 26, 30, 37, 39, 40, 45-50, 53, 54, 58, 65-69	Solutions
12.6 Quadric Surfaces	810	1, 3-8, 11, 14, 17, 18, 21-28, 33, 35, 45	Solutions
13.1 Vector Functions	822	3, 4, 7, 9, 10, 14, 19-24, 25, 27, 29, 36, 37, 43	Solutions
13.2 Derivatives and Integrals of VVFs	828	5, 6, 10, 13, 15, 16, 18, 21, 23, 26, 33, 34, 42	Solutions
13.3 Arc Length	836	1, 3, 6, 13-15, 17-23, 36, 37, 43-46	Solutions
13.4 Motion in Space	846	3, 4, 7, 9, 12, 13, 15, 16, 19, 27, 33, 34, 36	Solutions
14.1 Functions of Several Variables	865	2, 3, 6-13, 19, 20, 21, 24, 25, 28, 29, 30, 31, 32, 39, 40, 45, 55-60	Solutions
14.2 Limits and Continuity	877	1, 5, 6, 9, 11, 13, 14, 16, 17, 18, 19, 20, 22, 29, 31, 32, 33, 36	Solutions
14.3 Partial Derivatives	888	4, 5, 9, 10, 15, 20, 25, 27, 28, 29, 30, 39, 47, 55, 59, 84, 87, 89	Solutions
14.4 Tangent Planes and Linearization	899	1, 5, 6, 11-14, 19, 25, 27, 30, 31, 34, 36, 37	Solutions
14.5 The Chain Rule	907	1, 4, 5, 8, 10, 11, 15, 23, 25, 31, 33, 35, 40, 41, 43	Solutions
14.6 Directional Derivatives	920	1, 4, 5, 7, 9, 10, 12, 13, 17, 23, 26, 31, 36, 39, 42, 47	Solutions
14.7 Multivariable Optimization	930	1, 3, 4, 5, 8, 11, 15, 29, 33, 35, 40, 43, 47, 49	Solutions
15.1 Double Integrals	958	4, 6, 9, 11, 12	Solutions
15.2 Iterated Integrals	964	3, 6, 7, 8, 10, 12, 16, 17, 18, 20, 21, 26, 29	Solutions
15.3 Double Integrals over General Regions	972	4, 6, 7, 10, 11, 15, 18, 19, 22, 23, 24, 25, 28, 39, 41, 44, 46, 47, 50	Solutions
15.4 Double Integrals in Polar Coordinates	978	1-5, 7, 10, 13, 16, 18, 19, 25, 26, 29, 30	Solutions
15.6 Triple Integrals	998	1, 2, 4, 7, 8, 10, 24	Solutions
15.7 Cylindrical Coordinates	1004	1, 3, 5, 6, 7, 9, 15, 16, 17, 18, 20, 26, 29	Solutions
15.8 Spherical Coordinates	1010	1, 3, 5, 6, 7, 9, 11, 13, 17, 18, 20, 21, 23, 29, 35, 36	Solutions
16.1 Vector Fields	1032	1, 2, 6, 11-18, 21, 23, 26, 29-32	Solutions
16.2 Line Integrals	1043	1, 2, 4, 5, 6, 10, 13, 19-22, 33, 38, 40, 41	Solutions
16.3 FTCLI	1053	1-9, 11-23, 29-32	Solutions
16.4 Green's Theorem	1060	2, 5-9, 11-14, 17, 19	Solutions
16.5 Curl and Divergence	1068	1, 3, 5, 7, 9, 10, 11, 12, 13, 15, 17	Solutions
16.6 Parametric Surfaces	1078	3-6, 11-16, 21, 23, 33, 34, 35, 47	Solutions
16.7 Surface Integrals	1091	5, 7, 11, 19, 21, 23	Solutions
16.8 Stokes' Theorem	1097	1, 3-10, 13-15	Solutions
16.9 The Divergence Theorem	1103	1, 5, 6, 7, 9, 11, 12, 14, 19	Solutions