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Unformatted text preview: LUCK! Strategies Toward Solving Optimization Problems: Step 1: Draw a representative figure and assign labels to the relevant quantities. A. Draw Step 2: Identify the quantity to be maximized or minimized and a find a formula for it. A. Given specifics, create formula B. Find desired formula Step 3: Express the quantity to be maximized or minimized in terms of a single variable; use the conditions given in the problem to eliminate the other variable(s). A. Reduce given formula to a function of one variable and substitute into desired formula. Step 4: Determine the domain of the function generated by Step 3. A. What interval must x lie in? Step 5: Apply the techniques of the preceding sections to find the extreme value(s). A. Use methods from Section 4.1 to find absolute maximum or minimum. 5. Find the dimensions of the rectangle of perimeter 24 that has the largest area....
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- Fall '08