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Use Taylor series (use only the first three terms) to approximate the value of the integral...
Use the Midpoint Rule with n=4 to approximate the following integral, where x is measured in radians. So sin(x) dx You must show all steps of your work. Please express all intermediate steps to six decimal places or more, and then round your final answer to 4 decimal places. (Do not round off to four decimal places until you get to your final answer.) CAUTION: Make sure that your calculator is in RADIANS mode! 17.4286 17.2183 16.7873 16.7629 15.9287
1 points Save An Find the exact sum of the following series ((-1)* (24/(2k!)) k=0 (Note: Write your answers as decimal numbers rounded to five decimal places, and make sure your calculator is in radian mode)
Question 4 Find the exact sum of the following series Ec(-1)* cy2k / (2k+11) k=0 (Note: Write your answers as decimal numbers rounded to five decimal places, and make sure your calculator is in radian mode).
use the sum of the first ten terms to approximate the sum of the series -Estimate the error by takingthe average of the upper (Hint: Use trigonometric substitution, Round your answers to three decimal places Theorem 16. Remainder Estimate for the Integral Test Let f(x) be a positive-valued continuous decreasing function on the interval [I,0o) such that f(n): an for every natural number n. lf the series Σ an converges, then f(x)dx s R f(x)dx use the sum of the...
Use the sum of the first 10 terms to approximate the sum s of the series. (Round your answers to five decimal places.) sin?(20n) n = 1 Sa Estimate the error. (Use the remainder Estimate for the Integral Test.) error s 0.10000 x Need Help? Read It Talk to a Tutor
Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to five decimal places.) 4 n 1 n 1 S Estimate the error. (Use the Remainder Estimate for the Integral Test.) error s Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to five decimal places.) 4 n 1 n 1 S Estimate the error. (Use the Remainder Estimate for the...
Setup a program that will solve for sin x using the Taylor series expansion of x. Make sure the number of terms is some type of input. Calculate approximate 1. error Setup a program that will solve for sin x using the Taylor series expansion of x. Make sure the number of terms is some type of input. Calculate approximate 1. error
Write the Taylor series expansion of cos(x): Use the first three terms to calculate the value of cos(n/4). Use the decimal format with six significant digits (apply rounding at each step). Calculate the truncation error A- B-
It’s a fact that Taylor series can be used to study approximate solutions to non-linear ODEs. Use this fact to study approximate solutions to d 2x dt2 + sin x = 0, (1) subject to x(0) = 0 and x 0 (0) = x1 ≥ 0. Discuss conditions under which your reasoning is accurate, and make sure to include everything you can say. Make choices for x1 to illustrate your points ONLY; make sure to address the problem in full...
3. Determine the fint 4 terms of the McLaurin Series for the function fre using the table below: In summation form: e" complete the expression). Substitute forx to get a series expression for the function e In summation form: complete the expression). Use the four terms of the series to approximate the integral: What is the error of your estimate relative to the calculator value for this integral? 4. Use the McLaurin Polynomial of degree 5 for sin x to...