I need help with the following please.

Section 10.10: Problem 3 U Section 10.10: Problem 4 e \"*1 i125 , (1 point) In this problem you will approximate the value off (11. V 0 2m PreVious Problem Problem List Next Problem 4, _ 1 Suppose that F(z) is an antiderivative of 62 with F(0) = 0. Find the Taylor series for F(z) centered at z = 0t 0.9 1 (1 point) In this problem you will approximate the value of/ cos x/Sz dz. on 0 Taylor series is H! ; Find the fourth-order Taylor polynomial of cos V31 centered at a: = 0. . _ _ 0.25 e'\" 7 1 PAW) : Use your Taylor series to nd a series representation of 2 do. n z 0.25 e-\" 7 1 co \">9 f dg = Z Use your Taylor polynomial to approximate cos 3:: 11x. 0 2a: ":1 0 . . . . . . . . 0'9 What is the smallest value of n so that the nth partial sum of your series is guaranteed to approximate the actual value of the denite Integral With an error of less / cos J3; dm m than 104? o " = Use the alternating series error estimate to bound the error in your approximation. Find this approximation. Error