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a) Consider the function arctan(z?). Write a partial sum for the power series which represents this function consisting of the first 4 nonzero terms. For example, if the series were In . 3" I20, you would 1 + 327 + 32z + 3320. Also indicate the radius of convergence Partial Sum Radius of Convergence b) Use part a) to write the partial sum for the power series which represents f arctan(27 )dz. Write the first 4 nonzero terms. Also indicate the radius of convergence Partial Sum: Radius of Convergence c) Use part b) to approximate the integral fo arctan(z?) da Use a Maclaurin series derived in the text to derive the Maclaurin series for the function f(z) = I [ sin(2) ax, f(0) = 0. Find the first 4 nonzero terms in the series, that s write down the Taylor polynomial with 4 nonzero terms. Preview My Answers Submit Answers You have attempted this problem 0 times You have unlimited attempts remaining. Email Instructor Let F(x) - sin(412) at. Find the MacLaurin polynomial of degree 7 for F(z) -0.74 Use this polynomial to estimate the value of sin(4x2) dz. Note: your answer to the last part needs to be correct to 9 decimal places