Homework Assignments for Math 131H
Numbered problems are from the text: J. Stewart, Calculus: Early
Transcendentals, 8th Edition.
See the e-book on webassign.
Please show all your work and justify all your answers. Credit will
not be given for an answer without a
thorough justification.
- Assignment 1 Due Thursday, October 6.
- Chapter 2 Review section, Exercises subsection page 167 problems: 34, 40,
43, 49.
- Chapter 2 Review section, Problems plus subsection page 170
problems: 4 (include the reasoning for finding the formula of
the line which perpendicularly bisects OP), 8, 14 (use the
Squeeze Theorem twice).
-
Solutions to page 167 problems: 34, 40, 43 and page 170
problems 4, 8.
- Assignment 2 Due Thursday, October 27.
- Section 3.4 page 205 problems: 72, 76.
- Chapter 3 Review section, Exercises subsection page 267
problems: 21, 24, 54, 68, 84, 108.
- Chapter 3 Review section, Problem Plus page 271:
Problem 3.
-
Solutions to Section 3.4 problem 76, Review page 267
problems 24 and 68, Problem Plus 3 page 271.
- Assignment 3 Due Tuesday, November 15.
- Section 3.8 page 243: 12, 22
- Section 3.9 page 250: 29, 42
- Section 3.10 page 257: 35
- Section 4.1 page 284: 72, 77
- Section 4.2 page 291: 30, 38.
-
Solutions to Section 3.9 problem 42, section 3.10 problem 35,
section 4.1 problem 72, Section 4.2 problems 30 and 38.
- Assignment 4 Due Tuesday, December 6.
- Section 4.3 page 302: 39, 47, 70.
- Section 4.4 page 313: 79, 84.
- Section 4.7 page 338: 40, 50, 71. Hint for 71: Let a be
the distance from A to the water, b the distance from B to
the air, and L the horizontal distance (along the surface of
the water) from A to B. Let the variable x be the horizontal
distance from A to C. Express the time light travels from A
to B as a function f(x) of x (in terms of the contants a, b, L,
v_1, and v_2). Then differentiate and express the derivative
f'(x) in terms of the two angles in the diagram in the text. Make sure to
prove that the point you found is indeed the absolute minimum.
-
Solutions to Section 4.3 problem 47, section 4.4 problem
79, and section 4.7 problem 50.