MATH 215 Midterm: exam2f11

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31 Jan 2019
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Instructions: the exam consist of 7 problems for a total of 100 points. Please look through the exam booklet and make sure it has twelve pages. The next to last page is a list of formulas which may be useful. The last page is blank and is to be used as scratch paper. You may tear both of those pages apart from the rest of the exam: the exam duration is 90 minutes, no calculators are allowed, make sure your answers are clearly marked (circled or boxed). Problem 1 (12 points): the volume of a cylinder is given by v = r2h, where r is the radius of the cylinder and h is the height. The surface area of the same cyliner is given by a = 2 r2 + 2 rh. Suppose we want to construct a cylinder that has volume 250 cm3 and has the least surface area possible.