120 feet of fence is to be used to enclose a rectangular yard, then the resulting area of the fenced yard is given by A = x(60 − x) where x is the width of the rectangle. (a) If  A = A(x),  find  A(9) and A(30). A(9)  =   ft2 A(30)  =   ft2 (b) What restrictions must be placed on x (the domain) so that the problem makes physical sense? (Enter your answer using interval notation.)

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A: We will find the smallest possible value of f(3) as following.

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A:

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.