1. Show (in terms of ε - δ) that a function f : R3 → R defined by f(x; y; z) = (2x + 3y + 4z) is uniformly continuous.
1. Show (in terms of ε - δ) that a function f : R3 → R defined by f(x; y; z) = (2x + 3y + 4z) is uniformly continuous.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.4: Related Rates
Problem 6E
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1. Show (in terms of ε - δ) that a function f : R3 → R defined by
f(x; y; z) = (2x + 3y + 4z) is uniformly continuous.
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