Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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1. Decide whether each of the following functions are one-to-one, onto,
homeomorphisms, or diffeomorphisms on their domains of definition.
a. f(z) = z/3
b. f(z) = 2/3
c. /(x) 3z +5
d. f() e
e. f(2) = 1/z
f. f(2) 1/22
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Transcribed Image Text:1. Decide whether each of the following functions are one-to-one, onto, homeomorphisms, or diffeomorphisms on their domains of definition. a. f(z) = z/3 b. f(z) = 2/3 c. /(x) 3z +5 d. f() e e. f(2) = 1/z f. f(2) 1/22
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