MATH 205 Midterm: MATH 205 KSU Test 2s05

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Please read the problems carefully and do all you are asked to do. You can use the back page as scratch paper. Total/100 #1 #2 #3 #4 #5 #6 #7 #8 #9. In each of the following two accounts, nd the e ective annual yield. (a)(5 points). 10% annual interest rate, compounded continuously. (b)(5 points). Use the average rate of change over the interval 0. 99 x 1. 01 to estimate f (1) (you may not use a formula for the derivative function f (x)). The table shows f (t), the annual sales of music compact discs (cds), in millions, as a function of year t. Give units with your answer and interpret your answer in terms of sales of cds. (b)(6 points). Interpret your answer in terms of sales of cds. Di erentiate (a)(6 points). f (x) = 2 + x + 2 x (b)(6 points). f (t) = 3t 3 ln t + et.

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