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7. (a) (8 points) Explain, using level curves1 the idea behind Lagrange multipliers. (b) (15 points) Find the maximum area of a rectangle inscribed in

7. (a) (8 points) Explain, using level curves1 the idea behind Lagrange multipliers. (b) (15 points) Find the maximum area of a rectangle inscribed in the ellipse described by (c) (3 points) What is the minimum area? Does this make sense? Explain

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