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Lesson 14-filled

# Lesson 14-filled - Math 1314 Lesson 14 Optimization Now...

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Math 1314 Lesson 14 Optimization Now you’ll work some problems where the objective is to optimize a function. That means you want to make it as large as possible or as small as possible depending on the problem. The first task is to write a function that describes the situation in the problem. Here are some suggestions to help make this easier: 1. Read the problem carefully to determine what function you are trying to find. 2. If possible, draw a picture of the situation. Choose variables for the values discussed and put them on your picture. 3. Determine if there are any formulas you need to use, such as area or volume formulas. If you have a right triangle in your picture, decide if the Pythagorean Theorem will help. In many problems, you’ll state the domain before you work the problem. Once you have the function and its domain, you’ll find the critical points and see if the critical point(s) fall within the domain of the function. You can also use the second derivative test to verify that you have an absolute max or an absolute min in many problems.

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