MAT 126 Final: F08final
31 Jan 2019
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Name (please print legibly): no calculators are allowed on this exam, please show all of your work. You may use backs of pages if necessary. You may not receive credit for a correct answer if it is not supported by your work: you do not need to simplify all the way. Acceptable answer: (4(22) 2) (4 1). X. (b) using any method, give an equation for the tangent line to y = x2. X at the point (1, 0): (16 pts) a fertilizer company has to construct cylindrical storage tanks, pictured below. V = r2h = 16 , in cubic meters. In order to minimize cost, the company wants to use as little material as possible. Thus they need to minimize the surface area, which is given by (in square meters). Find the dimensions h and r which minimize a. A = 2 r2 + 2 rh: (18 pts) a spherical cloud of gas is expanding.
