xy' +x*y 1. Let f(x, y) ={ x² +y² -(x, y) # (0,0) 0,(x, y) = (0,0) i) Evaluate fa(0,0) and f;(0,0). ii) Does this mean that f is differentiable at (0, 0)? Explain.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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xy' +x'y
1. Let f(x, y) ={ x² +y²
,(x, y)#(0,0)
0,(x, y) = (0,0)
i) Evaluate fA(0,0) and f;(0,0).
ii) Does this mean that f is differentiable at (0, 0)? Explain.
Transcribed Image Text:xy' +x'y 1. Let f(x, y) ={ x² +y² ,(x, y)#(0,0) 0,(x, y) = (0,0) i) Evaluate fA(0,0) and f;(0,0). ii) Does this mean that f is differentiable at (0, 0)? Explain.
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