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T. [a] {a points] Explain, using level curves, the idea behind Lagrange multipliers. {b} {15 points} Find the maximum area of a rectangle inscribed in

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T. [a] {a points] Explain, using level curves, the idea behind Lagrange multipliers. {b} {15 points} Find the maximum area of a rectangle inscribed in the ellipse described by 1'2 y\" 1+31. [a] {3 points] What is the minimum area? Does this make sense? Explain

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