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Unformatted text preview: Note: You only use critical values that are in the interval in question. If there are others, you ignore them. #4 #10 Optimization Applications on intervals: 1) Read the problem and draw a picture if possible. Label the unknowns with variables. 2) Write down any given information in terms of your variables. 3) Formulate an equation representing the quantity that you wish to maximize or minimize. 4) Use the information from step 2 to rewrite the above function in terms of a single variable. 5) Take the derivative of what is to be optimized and find the critical values. 6) If the function has only one critical value in the interval use the 2 nd derivative test to verify that the function is maximized or minimized there. If the interval is closed you can evaluate the function at all critical values and at the endpoints of the interval to determine the maximum and minimum values. #18 #26 #28...
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- Fall '05