Consider the following function f (r) In(1 2r),a -5, n-3,4.6S 5.4 (a) Approximate f by a...
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. /(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...
4. 0/2POINTS PREVIOUS ANSWERS SCALCCC4 8.8.011.MI. Consider the following function. (r) Via = 4, n=2,4 S 1541 (a) Approximate by a Taylor polynomial with degreen at the number as 7268) - 2 + (x - 4) - (x - 4)2 (b) Use Taylor's Inequality to estimate the accuracy of the approximation f 1R2(x) = 0.000167 X (c) Check your result in part (b) by graphing IR (x) when x lies in the given interval. (Round the answer to six decimal...
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...
only parb b. thanks Consider the following function Kx)=x4/5, a = 1, n= 3, 0.9 sxs 1.1 (a) Approximate fby a Taylor polynomial with degree n at the number a. 125 (b) Use Taylor's Inequality to estimate the accuracy of the approximation fx) Tn(x) when x lies in the given interval (Round your answer to eight decimal places.) R3(x)1 s 0.000133X (c) Check your result in part (b) by graphing IRn(x). 2.5 x10-6 2. x 10-6 1.5 x 10-6 1....
(a) Approximate fby a Taylor polynomial with degree n at the number a. T3(x)-11n( 4) + (1 + In(4))(x-1) +に1)?+ 1)i(-1) (b) Use Taylor's Inequality to estimate the accuracy of the approximation fx)- Tne) when x lies in the given interval. (Round your answer to four decimal places.) (c) Check your result in part (b) by graphing |Rn(x) 0.004 0.8 1.4 0.003 -0.001 0.002 -0.002 0.001 -0.003 -0.004 1.2 1.4 0.8 1.0 0.004 1.4 1.0 -0.001 0.003 -0.002 0.002 0.003...
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
Consider the following function. r(x)-In(1 + 2x), a=4, n= 3, 3.8 4.2 x (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) T(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)l 2. x 10-6 3.9 4.1 4.2 1.5 x10-6 -5. x 10-7 1. x 10-6 -1. x10-6...
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 rx)=x sin(x), a=0, n= 4, -0.9 0.9 x (a) Approximate fby a Taylor polynomial with degree n at the number a (b) Use Taylor's Inequality to estimate the accuracy of the approximation rx)俗,(x) when x lies in the given interval. (Round M up to the nearest integer. Round your answer to four decimal places.) R4X) 0.00453X (c) Check your result in part (b) by graphing Rn(x)| 0.5 -0.5 -0.001 -0.002 002 0.003 -0.003 0.004 -0.004 0.005...