MATH 205 Midterm: MATH 205 KSU Test 2s01

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Please read the problems carefully and do all you are asked to do. Do the problems in the space provided and use the back pages as scratch paper. What is the annual percent interest rate of the. Us savings bond: (8pts) solve 7e3t = 8e2t for t. 1 x x x: (12pts) the graph of the function y = f (x) is given on the right side. 2: (10pts) suppose the population in the united states follows the model p (t) = of years since 1815). (a). What is the maximal capacity of us population as the model assumes. 1 + 399e 0. 04t (million) ( t is the number (b). Based on this model, in which year would the us population be 200 million? (c) sketch the graph of p (t) against t indicating the con- cavity and the point of diminishing returns. 400 t: (12pts) find the derivatives of the following functions: (a). f (t) = 3t2 + 12.