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Each of Exercises $63-66$ gives a function $f(x, y, z)$ and a positive number $\epsilon .$ In each exercise, show that there exists a $\delta>0$ such that for all $(x, y, z)$ ,$$\quad \sqrt{x^{2}+y^{2}+z^{2}}<\delta \Rightarrow|f(x, y, z)-f(0,0,0)|<\epsilon$$$$f(x, y, z)=x^{2}+y^{2}+z^{2}, \quad \epsilon=0.015$$

$\epsilon=0.015$

Calculus 3

Calculus 1 / AB

Chapter 14

Partial Derivatives

Section 2

Limits and Continuity in Higher Dimensions

Applications of the Derivative

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it has given that a four x com Abika mercy is equals. Toe X squared plus y squared, plus the square leg Delta is equals toe under 0.0 and five. So under rude eggs where plus y squared plus C square the smaller than data it gives us F o x com Abiko Matzzie minus fo zero comma zero comma zero whole mode is equals toe X square, plus by square, plus the square. My new zero hold more it would be equals two x squared plus y squared plus C square. Holy more We get on the road a square plus y squared, plus the square who's square a smaller than under Route 0.0 Gunfight whole square. It would be equals to 0.15 which is equals to absolute does. The solution is absolute is equals to 0.15 This is the final answer

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