Question 5. Decimal approximation (Show Working) 10 points (a) Write down the general form of Taylor's formula with Lagrange remainder for sin(x) (3 subpts) You do not need to justify or explain...
5. (a) (10) Write down the Taylor series for3) and find the 6th Taylor polynomial p() (b) (10) Find the Taylor series about 0 for f(a) 3 cos, and use the Lagrange Remainder Formula toshow that for any z, nlim。m(z) = 0. em t 5. (a) (10) Write down the Taylor series for3) and find the 6th Taylor polynomial p() (b) (10) Find the Taylor series about 0 for f(a) 3 cos, and use the Lagrange Remainder Formula toshow that...
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...
Not sure how to do this, please help! thank you! Consider the following function. f(x) = x sin(x), a = 0, n = 4, -0.7 SXS 0.7 (a) Approximate f by a Taylor polynomial with degreen at the number a. T4(x) = T(x) when x lies in the given interval. (Round M up to the nearest integer. Round your answer to (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) four decimal places.) R4(x) (c) Check your...
Can someone walk me through how to do question 2 with all the proper work shown? Horne, vork # 3 MİATH 1206 Show all work! 1. (10 pts) Find the Taylor series expansions for f(x) = sin at z = 0 and x = 3, Find the radius of convergence for these series. 2. (5 pts) Find the Taylor series expansion for f(x) = 1/z at 2. 3. (5 pts) Find the sum of the serics rA 5nn! 4" (5...
Please answer all questions, I will rate you well. Thanks :) 14. 514 points | Previous Answers SCal:ET 11.11.021. Consider the following function. /(x) = 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 (b) Use Taylor's Inequality to estimate the accuracy of the approximation x) * Tp(x) when x lies in the given interval. (Round M up to the nearest integer. Round your answer...
Please answer as many of the questions as you can, I will rate you well. Thanks :) 14. 5/14 points | Previaus Answers SCalcETB 11.11.021 Consider the following function. nx) = x sin(x), a = 0, η = 4, -0.9 x 0.9 (a) Approximate fby a Taylor polynomial with degree n at the number a. T4(x) 3! (b Use Taylor's Inequality to estimate the accuracy of the approximation IR4(x) 0.0005 when x lies in the given interval. Round M up...
1 10 onvelge a636lutely, converges conditionally, or diverges. Justify your answer, including naming the convergence test you use. (1n(b) n7/3-4 (2k)! n-2 k-0 (-1)k 2k 4. (a) (10) Let* Find a power series for h(), and find the radius of convergence Ri for h'(x). Find the smallest reasonable positive integer n so that - (b) (10) Let A- differs from A by less than 0.01. Give reasons. 5. (a) (10) Let g(x) sin z. Write down the Taylor series for...
Activity: A Journey Through Calculus from A to Z sin(x-1) :- 1) x< h(x) kr2 - 8x + 6. 13x53 Ver-6 – x2 +5, x>3 Consider f'(x), the derivative of the continuous functionſ defined on the closed interval -6,7] except at x 5. A portion of f' is given in the graph above and consists of a semicircle and two line segments. The function (x) is a piecewise defined function given above where k is a constant The function g(x)...