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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 $(x, y, z)$ ,$$\quad \sqrt{x^{2}+y^{2}+z^{2}}<\delta \Rightarrow|f(x, y, z)-f(0,0,0)|<\epsilon$$$$f(x, y, z)=\tan ^{2} x+\tan ^{2} y+\tan ^{2} z, \quad \epsilon=0.03$$

$\in=0.03$

Calculus 3

Calculus 1 / AB

Chapter 14

Partial Derivatives

Section 2

Limits and Continuity in Higher Dimensions

Applications of the Derivative

Johns Hopkins University

Campbell University

Baylor University

University of Michigan - Ann Arbor

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it is given that a four x com Abiko mazie is equals toe the engine square eggs plus tangent square by plus tangents. Classy. Let their ties equals toe the engine to the bubble, minus 10.1, then ex Morley Smaller than data. Why mode is also smaller than data on Z mode is also smaller than data. We get a four x com Abiko matzzie minus I from zero comma, zero comma, zero more as equals. Toe the engine square eggs plus the engine square by blast. Ancients close e whole mode. It would be equals toe. The engines were expressed. Engines were by plus stands in square see, which is equal to 0.1 plus 0.1 plus 0.1 It would be equals to 0.3 which is equals to excellent Does the solution is absolutely is equals to 0.3 This is the final answer

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