a) Find the linear approximating polynomial for the following functions centered at the given point a. b) Find the quadratic approximating polynomial for the following functions centered at a. c} Use the polynomials obtained in parts (a) and (b) to approximate the giyen quantity x) = , a = 4 ; approximate V3.9 *Upload work for this problem with all the necessary s_teps clearly: organized to get full credit\" Find the Taylor polynomials P1 , P2, P3, p4 centered at a = 0 for f() = cos 6x *Upload work for this problem with all the necessary steps clearly organized to get full creditFind the power series representation for g centered at 0 by differentiating or integrating the power series for f. Give the interval of convergence for the resulting series. g(a) = In(1 - 3x ) using f (a) = 1 1-3x *Upload work for this problem with all the necessary steps clearly organized to get full credit*