MAC 2312 Midterm: MAC 2312 FIU c2 Test 4 b
15 Feb 2019
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Read me first: show all essential work very neatly. notation when presenting your computations and arguments. using complete sentences. denotes "equals" , equivalent to". magic transformations, do not "box" your final results. ________________________________________________________________: (15 pts. ) function f(x) below by doing termwise integration. " " denotes "implies" , and " " denotes "is (b) find a power series representation for the. Since the answer really consists of all the. Show me all the magic on the page. 2 ( 1)kt 2k dt k 0 ( 1)kx 2k 1 k 0. Do so and reveal the (a) although one obvious alias of f is f(x) 2 arctan(x) , a better moniker to mosey up to is f(x) cot 1(x) . Even without the power series in hand, it is not difficult to see that f is the solution to the initial value problem f (x) The equation arctan(x) k 0 ( 1)kx 2k 1.
