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# Find the maximum and minimum values of $f(x, y, z)=4-z$ on the ellipse formed by the intersection of the cylinder $x^{2}+y^{2}=8$ and the plane $x+y+z=1$....

## Question

###### Find the maximum and minimum values of $f(x, y, z)=4-z$ on the ellipse formed by the intersection of the cylinder $x^{2}+y^{2}=8$ and the plane $x+y+z=1$.

Find the maximum and minimum values of $f(x, y, z)=4-z$ on the ellipse formed by the intersection of the cylinder $x^{2}+y^{2}=8$ and the plane $x+y+z=1$.

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