MTH 155 Midterm: MTH 155 Oakland Midterm H155Test2aSP04
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Show all of your work to receive full credit. Answers alone without accompanying work are worth little credit: (10pts) Find the length of the curve y = Find the surface area of al ellipsoid obtained by rotating x the x-axis. Calculate the mx and my moments and my and the center of mass of a lamina with the density 1 and shape below: (16pts) Determine if each of given series of sequences is convergent or divergent. Name the testing methods used in the process. a. ln(n +1) o ln(n) Determine whether the given series is absolutely convergent, conditionally convergent, or divergent (name the testing method). a. n=2 n ( 1) n ln(n) b. Find the power series representation for each of the following functions and determine the interval of convergence. a. f (x) = 1 x 5 b. f (x) = e x /2: (16pts) of convergence. (a)
