Use the binomial series to expand the function f(a) = (5+1)3 as a power series. n=0 Compute the following coefficients: CO C1 C3 C4Consider the function 641]. its?) = 3) Write the rst 3 non zero terms of the MacLaurin series for the function. b) Use part a) to write the first 3 non zero terms of the MacLaurin series for g(a=) = f '34: 1 sex, 9(0) = o Assume that sin{.r) equals its Maclaurin series for all at. Use the Maclaurin series for sin(6x2) to evaluate the integral 0.62 / sin{6;r:2) ,da: I) Your answer will be an innite series Use the first two terms to estimate its value. Answer = | | Find the Maclaurin series of the function f(x) = cosh x (f(a) = >