PS1_answers - y = mx 1 / 3 ) iv) limits does not exist (try...

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Here are answers to most of the problems. I have, of course, not included ones in which the question asks to prove or verify something. Also, for now, I have not had a chance to include pictures. Math 237 Problem Set 1 Answers A1. a) Range: z R . b) Range: z ≥ - 9. c) Range: z ≥ - 8. d) Range: - 1 < z < e 4 - 1. e) Range: z R . A5. a) Range: - 1 z 1. b) The limit does not exist. B1. a) Range: z 1. b) Range: z 1 B2. i) continuous if f (0 , 0) = 0. ii) continuous if f (0 , 0) = 0. iii) limit does not exist (try lines
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Unformatted text preview: y = mx 1 / 3 ) iv) limits does not exist (try lines x = 0, y = 0) v) continuous if f (0 , 0) = 0. vi) limit does not exist (try lines x = 0, y = 0) vii) continuous if f (0 , 0) =-2 B3. a) lim ( x,y ) (0 , 0) f ( x, y ) = 2. b) f (0 , 0) = 2. B5. b) One example f ( x, y ) = xy x 2 + y 2 B6. b) The limit exists and equals 0. B8. The maximum elevation is 12100 13 m 3 . 1...
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