Conditional Maximum Value

Calculus Level 4

Find the maximum values of x2+y2+z2x^2+y^2+z^2 subject to the conditions x24+y25+z225=1\dfrac{x^2}{4}+\dfrac{y^2}{5}+\dfrac{z^2}{25}=1 and z=x+yz=x+y.

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