The strength S of a wooden beam of width x and depth y is given by the formula S 13.8xy 2 . A beam is to be cut from a log of diameter 10 in., as shown in the figure. (a) Express the strength S of this beam as a function of x only. (b) What is the domain of the function S? (c) Draw a graph of S. (d) What width will make the beam the strongest?

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