MATH 1431 Chapter : Max Min

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15 Mar 2019
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The absolute maximum is the largest of these values, and the absolute minimum is the smallest. (see section 4. 1) (f) if the domain of the function is not a closed interval, the problem may not have a solution. If a solution does exist, it must occur at one of the critical numbers or at an endpoint that is in the domain. Use the rst and second derivatives of the function to help analyze the behavior of its graph and determine any absolute extrema. Solve the following optimization problems: find two positive real numbers whose product is 16 and whose sum is a minimum, farmer macdonald has 300 feet of chicken wire to use for constructing a rectangular pen for the chickens. The edge of a 300 foot long barn is to be used as one side of the pen, so the wire is needed only to fence in the remaining three sides.

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