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Section 4.6  Optimization Problems
Problems to do from the text: p. 305; 1,3,5,7,9,11,23,25,35
Class Examples
from the evens we can go over together: 2, 10, 12, 18, 28, 34
In this section, we’ll use the techniques from earlier sections about maximums and
minimums on closed intervals and overall graphing ideas to solve these “practical
problems.” The first step (sometimes the most difficult) is the precalculus step of taking
the words and translating them into a mathematical function of one variable
which we
can work with to solve the original problem.
Book outlines a “method” for solving in the beige box on page 299300.
All the examples in the book for this section are good to read and try to do on your own.
Example 1:
I have 500 feet of fence that I plan to enclose a rectangular region beside my house for a
flower garden. Suppose that the house will serve as one side of a rectangle, what should
the dimensions of the rectangle be in order to maximize the enclosed area?
Example 2:
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 Spring '07
 WEARS
 Calculus

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