Taylor Polynomials Polynomial and Inequality Model Solution #9 Due Date: Wednesday, April 22 by 11:59 pm....
Convergence Absolute Convergence and Conditional Convergence Model Solution #6 Due Date: Monday, March 6 by 11:59 pm. Directions: Carefully and Neatly write out the solution Show all work. The quality of the presented solution will count in the score. One of the goals of this assignment is to practice writing good mathematics. Determine if the sequence is Absolutely Convergent, Conditionally Convergent or Divergent.
Consider the following function. (t) = 4/7,6 1,0 3,0.9 5511 (a) Approximate by a Taylor polynomial with degreen at the number a T5(X) - + + 313 (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 eight decimal places.) IR 150.00105548 X
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...
(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 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...
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....
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...
13 points SCalcET8 11 11,015 Consider the following function. f(x)-x57, a 1, n-3, 0.7Sxs 1.3 (a) Approximate fby a Taylor polynomial with degree n at the number a. T3(x) (b) Use Taylo's Inequality to estimate the accuracy of the a pproximation Rx)· (x) when x lies in the given interval. (Round your answer to eight de IR2(x)I s (c) Check your result in part (b) by graphing IR,(). 0.00015 1.3 0 0.9 1.0 1.1 -0.0000S 0.00010 -0.0001o 0.00005 -0,00015 8...
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...