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13 Nov 2019
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6) Linearizations are a way to approximate functions using lines, however often we wish to have more precision than a line. The Taylor Polynomial of Degree 3 is a way to approximate functions using cubic polynomials, but it requires the use of 3 derivatives The Taylor Polynomial of Degree 3 centered at a is given by the formula: f" (a) f"(a) (a)(x-a) + (x-a)" + (x-a) If the function is centered at 0, it is referred to as a Maclaurin Polynomial and is given by the formula: a) Find the Linearization L(x) and the Taylor Polynomial of Degree 3 T,(x) for the function f(x)-cos(2x) + sin(3x) centered at 0. Lincarization, Taylor Poly b) How far off are the Lincar and Taylor approximations from part a when x is 0.22 Round your answer to the nearest tne-thousandth Linearization Taylor Poly Error c) Recall that i is the imaginary number given by the formula i2 -1. Use this fact to find the Taylor Polynomial of Degree 3 T,(x) for the functions f(x) - elt and g(x) cos2x+i sin 2x both centered at the origin. Taylor Poly f(x) Taylor Poly g(x).
Need help solving this problem.
6) Linearizations are a way to approximate functions using lines, however often we wish to have more precision than a line. The Taylor Polynomial of Degree 3 is a way to approximate functions using cubic polynomials, but it requires the use of 3 derivatives The Taylor Polynomial of Degree 3 centered at a is given by the formula: f" (a) f"(a) (a)(x-a) + (x-a)" + (x-a) If the function is centered at 0, it is referred to as a Maclaurin Polynomial and is given by the formula: a) Find the Linearization L(x) and the Taylor Polynomial of Degree 3 T,(x) for the function f(x)-cos(2x) + sin(3x) centered at 0. Lincarization, Taylor Poly b) How far off are the Lincar and Taylor approximations from part a when x is 0.22 Round your answer to the nearest tne-thousandth Linearization Taylor Poly Error c) Recall that i is the imaginary number given by the formula i2 -1. Use this fact to find the Taylor Polynomial of Degree 3 T,(x) for the functions f(x) - elt and g(x) cos2x+i sin 2x both centered at the origin. Taylor Poly f(x) Taylor Poly g(x).
Jamar FerryLv2
27 Apr 2019