Question: Use Lagrange multipliers in the following problems. When the domain of the objective function is unbounded or open, explain why you have found an absolute

Use Lagrange multipliers in the following problems. When the domain of the objective function is unbounded or open, explain why you have found an absolute maximum or minimum value.

Find the dimensions of the rectangle of maximum perimeter with sides parallel to the coordinate axes that can be inscribed in the ellipse 2x2 + 4y2 = 3.

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