Writing Discuss what happens geometrically when equationsin x, y, and z are replaced by

Chapter 11, Problem 57

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Writing Discuss what happens geometrically when equations in \(x\), \(y\), and \(z\) are replaced by inequalities. For example, compare the graph of \(x^{2}+y^{2}+z^{2}=1\) with the set of points that satisfy the inequality \(x^{2}+y^{2}+z^{2} \leq 1\).

Equation Transcription:

x

y

z

Text Transcription:

x

y

z

x^2 + y^2 + z^2 = 1

x^2 + y^2 + z^2 leq 1

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