Consider the following function #x)-x2/5, a-1, n-3, 0.7 sxs 1.3 (a) Approximate fby a Taylor polynomial with degree n at the number a T3(x) (b) Use Taylor's Inequality to estimate the accuracy of the approximation x) Tn(x) when x lies in the given interval. (Round your answer to eight decimal places.) Consider the following function #x)-x2/5, a-1, n-3, 0.7 sxs 1.3 (a) Approximate fby a Taylor polynomial with degree n at the number a T3(x) (b) Use Taylor's Inequality to...
Consider the following function. f[x) = x ln(3x), a = 1, n = 3, 0.8 lessthanorequalto x lessthanorequalto 1.2 Approximate f by a Taylor polynomial with degree n at the number a. T_3(x) = Use Taylor's Inequality to estimate the accuracy of the approximation f(x) = T_n(x) when x lies in the given Interval. (Round your answer to four decimal places.) |R_3 (x)| lessthanorequalto
Consider the following function. /(x)=x-5, a= 1, n= 2, 0.8SXS 1.2 (a) Approximate f by a Taylor polynomial with degree n at the number a T2(x) = (b) Use Taylor's Inequality to estimate the accuracy of the approximation x) ~ Tn(x) when x lies in the given interval. (Round your answer to six decimal places.) (c) Check your result in part (b) by graphing Rn(x) 0.6 0.4 0.2 0.6 0.4 0.2 0.9 0.9 1.2 -0.2 -0.4 -0.6 -0.2 -0.4 -0.6...
question b please Consider the following function f(x) -x6/7, a-1, n-3, 0.7 sx 1.3 (a) Approximate f by a Taylor polynomial with degree n at the number a 343 (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ,(x) when x lies in the given interval. (Round your answer to eight decimal places.) IR3(x)0.00031049 (c) Check your result in part (b) by graphing Rn(x)l 2 1.3 0.00015 0 0.9 1.0 11 -0.00005 0.00010 -0.00010 0.00005 0.00015 0.8...
Consider the following function. (x) = x-8, (a) Approximate fby a Taylor polynomial with degree n at the number a. 0.8 s xs 1.2 n=2, a31, T2(x) = Tmx) when x lies in the given interval. (Round your answer to six decimal places.) (b) Use Taylor's Inequality to estimate the accuracy of the approximation rx (c) Check your result in part (b) by graphing R(x)l 3 2.5 2.0 1.2 WebAssign Plot 0.9 0.5 1.2 0.9 3 1.2 1.0 -0.5 1.0...
Consider the following function. f(x) = 5 sinh (3r). a = 0, n=5,-0.3<r <0.3 (a) Approximate f by a Taylor polynomial with degree n at the number a. 3 45x 2 81 5 T5(x) = | 15x + + -X 8 (b) Use Taylor's Inequality to estimate the accuracy of the approximation f = 7,(x) when x lies in the given interval. (Round the answer to four decimal places.) |R5(x)] = 5.19674 X
14 14 points | Previous Answers SCalcET8 11.11.021 Consider the following function. rx)-x sin(x), a = 0, n = 4, -0.9 x 0.9 (a) Approximate fby a Taylor polynomial with degree n at the number a 3! (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x)T(x) when x lies in the given interval. (Round M up to the nearest integer. Round your answer to four decimal places.) IR4(x)l 0.0005 (c) Check your result in part (b) by...
Consider the following function f (r) In(1 2r),a -5, n-3,4.6S 5.4 (a) Approximate f by a Taylor polynomial with degree n at the number a T3(x)- (b) Use Taylor's Inequality to estimate the accuracy of the approximation f Tn(x) when x lies in the given interval. (Round the answer to six decimal places.) R3(x)l S (c) Check your result in part (b) by graphing Rn(x). (Do this on your graphing device. Your instructor may ask to see this graph.) Need...
Consider the following function. (x) = sinh (3x), a = 0, n = 5, -0.313 0.3 (3) Approximate f by a Taylor polynomial with degreen at the number a. 454 T(X) - 15x + (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) when x lies in the given interval. (Round the answer to four decimal places.) IR:(X) S 5.19674 IX
8 pts . Answer parts a through e using the function f(x)- isd br cipah Tperpebynomia.ced0 Find the eighth degree Taylor polynomial, centered at 0, to approximate f(x) a. . Be sure to simplify your answer. b. Using your eighth degree polynomial from part a and Taylor's Inequality, ii fork-als,the E find the magnitude of the maximum possible error on [0, .1]. x-ato (n 1)! c. Approximateusing your eighth degree Taylor polynomial. What is the actual 1.1 error? Is it...