Sample-free-response-final

# Sample-free-response-final - Math 1314 Sample Free Response...

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Math 1314 Sample Free Response Questions Final Exam The practice final exam at casa.uh.edu should help you prepare for the multiple choice portion of the final exam. The problems listed below should help you prepare for the free response portion of the test. This list is NOT a comprehensive review of the course. Optimization problems 1. To ship a package through the postal service, the length plus girth of the package can be no more that 108 inches. You want to design a package that is a box with a square base so that the volume of the box is maximized. Find the dimensions of the box. Note: girth is the perimeter of the base of the package. 2. Suppose you want to enclose a rectangular region that is located along the straight edge of a river. The side along the river does not need to be fenced. What is the largest possible area that you can fence is if you have 1200 meters of fencing to use? What would be the dimensions of the region. 3. Suppose you make an open box by cutting of equal squares from each corner and folding up the resulting flaps. If the material you started with was 12 inches by 18 inches, what should be the size of the squares you cut off if you want to maximize the volume of the box? Definite integrals 4. ( 29 dx x x 4 1 0 2 5 + 5.

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Sample-free-response-final - Math 1314 Sample Free Response...

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