MATH 121 Study Guide - Midterm Guide: Or Books, Binomial Series, Riemann Sum
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The last 2 pages are for rough work, and. Notes or books to aid you during the test: short answer questions . 3 marks will be given for correct answers in the box, while at most 1 mark will be given for incorrect answers. Unless otherwise stated, simplify your answers as much as possible. (a) evaluate r. 1 x ln x dx. (b) for what values of does r e. 1 x(ln x) dx converge? (c) find f (x) where f (x) = r x2. 0 t2dt. (d) use the binomial series to nd f (6)(0) where f (x) = 1. 1+x3 (express your answer as a fraction) (e) evaluate p n=1. 3n(n 1)! (f) the waiting time to be served at a certain restaurant is assumed to be exponentially dis- tributed according to the probability density function (t) = ce ct for t 0.
