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Math 53 Homework 4
Due Wednesday 9/22/10 in section
(The problems in parentheses are for extra practice and optional. Only turn in the
underlined problems.)
Tuesday 9/14 – Vector functions, velocity, acceleration
•
Read:
sections 13.1 to middle of p. 820; 13.2; 13.3 p. 830831; 13.4 to p. 841.
•
Work:
13.1: (9), 14
, (19), 22
, 23
, (25), (27), (41).
13.2: (1), (3), 6
, 9
, (19), 25
, 31
, (32), (39), (45), 47
, 49
, 50
.
13.4: (3), 10
, (15).
•
Bonus problem
(extra credit, hard): Problem 1 below.
Thursday 9/16 – Functions of several variables
•
Read:
sections 14.1; also 12.6 to the bottom of p. 807; and 14.2 (skip the theory,
focus on examples 1–3, the deFnition of continuity, examples 7–8).
•
Work:
14.1: (11), (23), 26
, 29
, (30), 32
, 34
, (35), (39), 42
, 55
, (57), 62
, (66), (74).
14.2: (4), (7), 9
, 13
, (27), (33), 39
, (43).
Problem 1
(extra credit, hard)
The purpose of this problem is to determine the shape of the road on which a square
wheel rolls smoothly.
Suppose that the square wheel has sidelength 2, and starts with its axle at the origin
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This note was uploaded on 03/14/2012 for the course MATH 128A taught by Professor Rieffel during the Spring '08 term at University of California, Berkeley.
 Spring '08
 Rieffel
 Math

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