MATH 253 Sec 201,202 Fall 2006: Homework
Text: Calculus, with Early Vectors, First Edition,
by James Stewart.
Homework 1
Chapter 11
- Section 11.1 -- #23, 26, 27, 48
- Section 11.2 -- #35, 45, 53, 59(and plot the cube and angle), 61(Find and fix the error in the hint.) 62
A. Assume u, v, and w are mutually perpendicular unit vectors.
|u|=1, |v|=1, |w|=1, u.v=0, u.w=0, v.w=0
If a = p u + q v + r w, prove p=a.u, q=a.v, r=a.w .
- Section 11.3 -- #5, 21, 31
- Section 11.4 -- #7, 29(parametric and normal), 31(parametric and normal), 37, 47, 49, 61(Also find the foot of the perpendicular.), 63(Also find the foot of the perpendicular.)
Homework 2
Chapter 11
- Section 11.5 -- Use Maple on (2, 3, 7, 8, 9, 10, 11, 15), #17-24, Use Maple on (25, 27, 28, 29, 30, 31), 41, 43
- Section 11.6 -- #9, 17, 21, 25, 31, 37, 47(& plot), 74.
- Section 11.7 -- #9(Find v, a, j, T, B, N, speed, arc length for one loop, curvature and torsion, tangential and normal accererations), 12(Find v, a, j, T, B, N, speed, arc length for 0 <= t <= 1, curvature and torsion, tangential and normal accererations) (Keep a xerox.)
- Section 11.8 -- #17
Homework 3
Chapters 14, 11
- Section 14.1 -- #Use Maple on (1, 2, 3, 5, 6), 11-14
- Section 14.2 -- #3, 7, 19, 27, 35
- Section 11.7 -- #9(Find mass of one loop and work to move along one loop if the linear density is rho = x^2+z^2. Recall F = m a.), 12((Find mass and work for 0 <= t <= 1 if the linear density is rho = x z + y^2. Recall F = m a.)
Homework 4
Chapter 12
- Section 12.1 -- #21, 24, Use Maple to plot a graph and contour plot: (33, 35, 37, 39, 41, 44), Use Maple for the contour plot: (53, 55), 57, 59-64, Use Maple to plot a graph and contour plot: (65, 67, 68).
- Section 12.3 -- #7, 10, 23, 31, 49, 50, 57, 75, 78c, 84, 91, 94.
- Section 12.4 -- #1, 7, 19, 31, 34.
- Section 12.5 -- #7, 17, 19, 31(without eq 7), 35, 39, 43.
- Section 12.6 -- #1, 7, 15, 19, 27, 30, 37, 41, 46, 49, 53, 55.
Homework 5
Chapters 12, 14
- Section 12.7 -- #1, 7, 12, 17, 18, 25, 31, 37, 39, 43, 44, 49.
- Section 14.5 -- #3, 7, 11, 13, 19, 21, 22, 25, 31, 35, 39, 40, 43
Homework 6
Chapter 13
- Section 13.1 -- #5, 11, 13
- Section 13.2 -- #9, 13, 22(both orders of integration), (Use Maple with filled=true on 23), 29, 31, 33, 35
- Section 13.3 -- #7, 13(both orders of integration), 17, 21, 25, 27, 29, 35, 39, 41, 47, 51,52
- Section 13.6 -- #1, 3, 5, 7, 9, 11, 15
Homework 7
Chapter 13
- Section 13.8 -- #5, 7, 9, 11, 13, 17, 21, 25, 29, 31, 35, 37, 47
- Section 13.4 -- #19, 23, 27, 29, 34, 35, 39, 43, 51, 52, 55, 62, 64
- Section 13.5 -- #3, 5, 9, 13, 17, 19, 21, 25, 27, 31
- Section 13.6 -- #13
Homework 8
Chapter 13
- Section 13.9 -- #39, 47, 51, 57, 59, 63
- Section 13.10 -- #1, 3, 7, 11, 17, 21, 23, 29, 33, 35
- Section 13.11 -- #3, 11, 13, 15, 19
Homework 9
Chapter 14
- Section 14.1 -- #19, 21
- Section 14.2 -- #29
- Section 14.6 -- #1, 3, 5, 9-12, 15, 19, 21, 27
- Section 14.7 -- #3, 5, 7, 9, 13, 15, 17, 21, 31, 35, 37
Homework 10
Chapter 14
- Section 14.3 -- #1, 3, 9, 13, 17, 19, 29, 31, 33
- Section 14.4 -- #1, 3, 9, 15, 17, 21, 29
Homework 11
Chapter 14
- Section 14.8 -- #3, 5, 7, 9, 11, 13, 17, 19
- Section 14.9 -- #1, 3, 5, 7, 9, 13, 17, 23
Homework 12
Chapter 12
- Section 12.2 -- #5, 7, 9, 15, 17, 33, 39
- Section 12.8 -- #3, 5, 7, 9, 17, 27, 29, 33, 39
Last modified by pby on Sep 24 2006.