Final Exam Review

# Final Exam Review - FINAL EXAM SAMPLE PROBLEMS MATH 148...

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FINAL EXAM SAMPLE PROBLEMS MATH 148 AUTUMN 2007 Part I 1. a) Find the midpoint of the line segment connecting the two points, (–52, 17) and (–10, 10). b) Find the distance from the midpoint found in part a) to the point (–52, 17). (Round to 2 decimal places.) 2. Solve the following systems of equations: a) b) c) ! " ! # \$ % % 24 13 41 8 2 2 x x y x y x " # \$ % % 1 2 9 2 x y y x ! " ! # \$ % % 15 3 4 1 9 2 2 2 x x y x y 3. Gary leaves New York at 3 p.m. in his old car and averages 45 mph. Jeff Gordon, the famous NASCAR driver, leaves New York at 10 p.m. in his race car along the same route and averages 180 mph. Let t represent the number of hours after 3 p.m. Write the distances traveled by Gary and Jeff. How many hours will Gary travel before he is passed by Jeff? Round your answer to 2 decimal places. 4. Draw a complete graph of the equation . Be sure to find and label the roots. Round your answer to 2 decimal places. 895 444 147 8 2 3 % % x x x y 5. Give a window for a complete graph of 3 0.05 15 16 y x x ’ % . Find the zeros and round to 2 decimal places. 6. A box with a square base and no top is to be made from a 4-foot by 4-foot sheet of aluminum by cutting out squares from each corner and folding up the sides. If the box is to have maximal volume, what size squares need to be removed? (Round your answer to 3 decimal places.) 7. Suppose you want to use 50 sq. feet of material to make an open-top box with a square base. a) Use the formula for the surface area to express the height h of the box in terms of x . b) Find the dimensions of the box that will produce the maximal volume. Round your answer to 2 decimal places. 8.

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## This note was uploaded on 04/18/2008 for the course MATH 148 taught by Professor Mcginnis during the Fall '08 term at Ohio State.

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Final Exam Review - FINAL EXAM SAMPLE PROBLEMS MATH 148...

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