We are interested in the first few Taylor Polynomials for the function f(x) = 4ez + 9e I centered at a = 0. To assist in the calculation of the Taylor linear function, 71 (x), and the Taylor quadratic function, To(I), we need the following values: f(0) = f' (0) = f"'(0) = Using this information, and modeling after the example in the text, what is the Taylor polynomial of degree one: Ti(I) = What is the Taylor polynomial of degree two:Find T5{:]: Taylor polynomial of degree 5 of the function r] = ooslz] at o. = I}. w = :1 Using the Taylor Remainder Theorem, find all values of x for 1.u'hith this approximation is within D.D2?92 of the right answer. assume for simplicity that we limit ourselves to III E. 1. as: Find the order 3 Taylor polynomial 73(x) of the given function given. Use exact values. f(x) = (5x - 12)3 at a = 4. TT =We are interested in the first few Taylor Polynomials for the function r} = 3.2: + Te. 2 centered at o = D. To assist in the calculation of the Taylor linear function, 11(1), and the Taylor quadratic function, T: [I], we need the following values: m: = |__ .|_ I'm) = |__ .|_ r" "(0) = | _| Using this information, and modeling after the example in the text, what is the Taylor polynomial of degree one: 2a m = :1 What is the Taylor polynomial of degree two: em = :1 The Taylor series for f(@) = " at -2 is Cn ( + 2) ". Find the first few coefficients. Co C1 O = CA'33 The Taylor series for HI] = e: at a = -4 is Z 631:: + 4]\". 111] Find the first few coefficients. an .9 M 2 || :1 :1 The function f(x) = 6x In(1 + x) is represented as a power series f(x) = Find the specified coefficients in the power series. C = CA = Find the radius of convergence R of the series. RFind T5411): Taylor polynomial of degree 5 of the function x] 2 cosh] at o. = 0. Ta = :1 04 Using the Taylor Remainder Theorem, find all values of x for 1l--'i'|il:h this approximation is within 0.004654 of the right answer. Assume for simplicity that we limit ourselves to |z| :5. 1. 1:12:10