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Book: Classical Dynamics of Particles and Systems Topic: Calculus of Variations Please answer in a detailed solution. For study purposes. Thank you.
6-17. The corners of a rectangle lie on the ellipse (x/a)² + (y/b)² = 1. (a) Where should the corners be located in order to maximize the area of the rectangle? (b) What fraction of the area of the ellipse is covered by the rectangle with maximum area?
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Transcribed Image Text:6-17. The corners of a rectangle lie on the ellipse (x/a)² + (y/b)² = 1. (a) Where should the corners be located in order to maximize the area of the rectangle? (b) What fraction of the area of the ellipse is covered by the rectangle with maximum area?
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Step 1: Find the coordinates of the rectangle inside the ellipse.
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Step 2: Area of the rectangle will be
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