Mathematics, 17.04.2021 01:00 qwerty9951

Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that can be inscribed in the ellipse $\frac{x^{2} }{25} +\frac{y^{2} }{4} =1$ with sides parallel to the coordinate axes.

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Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that can be inscribed in the ellipse with sides parallel to the coordinate axes.

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Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that can be inscribed in the ellipse $\frac{x^{2} }{25} +\frac{y^{2} }{4} =1$ with sides parallel to the coordinate axes.