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OpenStudy (anonymous):
The strength S of a rectangular wooden beam is proportional to its width times the square of its depth. Find the dimensions of the strongest beam that can be cut from a 10-inch-diameter cylindrical log. a.)The strength is 32 when w = 6. Find the constant of proportionality. b.) Write the strength as a function of w? Include the domain for the situation. c.) What dimensions maximize the strength?
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