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# hw4 - Math 53 Homework 4 Due Wednesday in section(The...

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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. 830-831; 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 definition 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 and its sides parallel to the coordinate axes, touching the road at the point (0 , - 1).
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