MATH 221 Final: MATH 221 KSU Final Exam s00
15 Feb 2019
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1. (16pts) integrate (show all the steps): a. (10pts) z ex e2x + 3ex + 3 dx = b. (6pts) z . 2. (20pts) a positive function f (x), for x 0, is called a probability density function if r : find the value of the constant c which makes f (x) = cxe 2x into a probability density function. 0 f (x)dx = 1: find limits, extrema and in ection points, and then graph the function f (x) found in a. for x 0, compute the mean r . 2: (20pts, at what rate, annual and compounded continuously (a. c. c. ), should you invest 5,000$ today so as to have 20,000$ in 8 years? (use ln 2 = . 69): you nd a good deal and invest your 5,000$ at 20% (a. c. c. ). At the same time, a friend of yours invests 10,000$ in a di erent bank, but only gets 15% (a. c. c. ).
