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Unformatted text preview: MATH 191, Sections 1 and 3 Calculus I Fall 2007 Section 4.7: Optimizin’! Remember the Closed Interval Method, that means we developed for finding the extreme values of a given function on a closed interval? Well, how about we apply that method (and a little extra ingenuity) to solve a few problems involving optimization ? Such problems generally involve answer- ing questions like “When is quantity Q biggest...?” or “For what value of x is such-and-such made as small as possible?” Besides the mathematical processes we’ve come up with by now, some basic physical intuition will often come into play. The best way to go about learning how to solve these problems is to do a bunch of Examples. 1. Find two positive numbers whose sum is 100 and whose product is as large as possible. ( Hint : as with most problems of this sort, understanding the problem and coming up with some notation are probably the first steps you’ll want to take...) Notice how we used given relationships to reduce the problem (that ini-...
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This note was uploaded on 04/08/2008 for the course MATH 191 taught by Professor Bahls during the Fall '07 term at UNC Asheville.
- Fall '07