Third Degree - Calculus - Solved Quiz, Exercises of Calculus

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Math 106 Sections C and D Quiz 3 (30 points) Name: o | M hymns Show all your work to receive full credit for a problem. There are two questions. Questions are printed on the back of the page too. 1, (18 points) (a) Find the third-degree Maclaurin polynomial for the funtion f(z) = 3sinz. fo) =3 Sins Fae 0 Md) = foo) f’torxe Flo) 2+ g'e),? PMoosBearx Pege3 LI 3\ SMe = Binz flO M6) = OF Bat 0- Bo PG) = -3 05% LM (2-3 So |M,Oo) (b) Use your answer in part (a) to write the third-degree Maclaurin polynomial for the function g(z} = 3sin(az). GW=Ssm(Nxl= Mx) So Heclounn phy for ge ir M, (71x) = (c) Use your answer in part (a) to write the second-degree Maclaurin polynomial for the function f(z) = 3sinz. (Note that this is the same function as in part (a)). [Mw =3x | (d) Use your answer in part {c) to write the third-degree Maclaurin polynomial for the function h(a) = 3a¢sin a. hod = x fod G& tord-degre Meclaurdn poly fey hoo = x1, =x(3%)