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A rectangular beam is cut from a cylindrical log of radius

Question: Of all rectangles with given area, A, which has the shortest diagonals?

A rectangular beam is cut from a cylindrical log of radius 30 cm. The strength of a beam of width w and height h is proportional to wh2. (See Figure) Find the width and height of the beam of maximum strength.

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Mathematics: A rectangular beam is cut from a cylindrical log of radius

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Mathematics: A rectangular beam is cut from a cylindrical log of radius

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