3739 Solve these exercises two ways:(a) Use the constraint to eliminate a variable.(b)

Chapter 13, Problem 37

(choose chapter or problem)

Solve these exercises two ways:

(a) Use the constraint to eliminate a variable.

(b) Use Lagrange multipliers.

Find all relative extrema of $x^{2} y^{2}$ subject to the constraint $4 x^{2}+y^{2}=8$ .

Equation Transcription:

${x}^{2}{y}^{2}$

$4{x}^{2}+{y}^{2}=8$

Text Transcription:

x^2 y^2

4x^2 + y^2 = 8

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