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6. (8 marks) A rectangular beam will be cut from a cylindrical log of radius 10 inches. Suppose that the strength of a rectangular beam

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6. (8 marks) A rectangular beam will be cut from a cylindrical log of radius 10 inches. Suppose that the strength of a rectangular beam is equal to the product of its width and the square of its depth. Find the dimensions of the strongest beam that can be cut from the cylindrical log. depth 10 - width

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