MATH 2110.002

Calculus III

Spring 2009

Dwiggins

Chapter 14 Practice Exercises

Section 14.1 3D Graphs and Contour Maps

page 867, # 30 – 38; page 869, match surfaces to contours

Section 14.2 Multivariate Limits and Continuity

page 877, # 9 – 21, # 37 – 41

Section 14.3 Partial Derivatives

A – page 889 # 5 – 10
B – page 889 # 11 – 38

C – pages 889-90 # 39 – 68
D – pages 890-1 # 71 – 90

Section 14.4 Tangent Planes and Linear Approximation

A – page 899 # 1 – 6
B – page 899 # 11 – 18

C – pages 899-900 # 19 – 21, # 25 – 35
D – page 900 # 36 – 44

Section 14.5 Multivariate Chain Rules

A – page 907 # 1 – 12
B – page 907 # 13 – 20

C – page 908 # 21 – 41
D – pages 908-9 # 42 – 58

Section 14.6 Directional Derivatives and the Gradient

A – page 920 # 1 – 10
B – # 12 – 20 on page 920, and # 39 – 44 on page 921

C – pages 920-1 # 21 – 38
D – page 922 # 45 – 64

Section 14.7 Multivariate Extreme Value Problems

A – pages 930-1 # 1 – 4
B – page 931 # 5 – 18, # 29 – 30

C – pages 931-2 # 19 – 28, # 31 – 36, # 39 – 44
D – pages 931-2 # 37 – 38, # 45 – 56

Section 14.8 Optimization with Constraints

A – page 940 # 1 – 2
B – page 940 # 3 – 17

C – pages 940-1 # 18 – 22, # 27 – 32
D – pages 940-1 # 23 – 26, # 33 – 46

http://www.msci.memphis.edu/faculty/dwiggins/2110/default.htm