Let f(x) = ex + cos (x) (a) Write the first four nonzero terms of the Taylor series for e" about x = 0 and the first for nonzero terms of the Taylor series for cos (x) about x = 0 . 55. (b) Use the two series found in part (a) to write the first four nonzero terms of the Taylor series for f about x = 0 . 56. (c) The function g has a first derivative given by g (x) = f(x) . Given that g (0) = 3 , find the 4th degree Taylor polynomial for g about x = 0. 57. (d) Find g (0) . JAR