I cannot figure out how to use the taylor inequality to estimate the accuracy of the approximation. PLEASE show all step
Posted: Tue May 10, 2022 9:20 pm
I cannot figure out how to use the taylor inequality to estimate the accuracy of the approximation. PLEASE show all steps and show whatever formula you are using. Please explain your steps So I can fully understand this.
Consider the following function. Rx f(x) = a = 1, n = 2, 0.6 <x< 1.4 x (a) Approximate f by a Taylor polynomial with degree n at the number a. T2(x) = 2 - 2(x-1) + 2(x - 1)2 (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) = T.(x) when x lies in the given interval. (Round your answer to eight decimal places.) IR₂(x) = (c) Check your result in part (b) by graphing R,x). y у y 0.30 0.30
Consider the following function. Rx f(x) = a = 1, n = 2, 0.6 <x< 1.4 x (a) Approximate f by a Taylor polynomial with degree n at the number a. T2(x) = 2 - 2(x-1) + 2(x - 1)2 (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) = T.(x) when x lies in the given interval. (Round your answer to eight decimal places.) IR₂(x) = (c) Check your result in part (b) by graphing R,x). y у y 0.30 0.30