Calculate the absolute and relative error using the midpoint rule Question Determine the absolute error when...
Use the midpoint rule to calculate the absolute error of (8x? + 6) dx using 3 subintervals. Enter an exact value. Do not enter the answer as a percent. Provide your answer below:
Let EM represent the error in using the Midpoint Rule with subintervals to approximate S. f(x) dx. Then K(b - a) TEM 24n2 where K is the maximum number that the absolute value of IF"(x) achieves for asx<b. Use this inequality to find the minimum number, 17 of subintervals necessary to guarantee that the Midpoint Rule will approximate the integral dx to be accurate to within 0.001. 80 O 358 253 114
14 3. . a. Using Simpson's Rule (n-6). approximatevx +1 de b. Determine the upper bound on the error in part a. Hint56r - 80) dx 16(r 1) If the absolute error in the approximation of the integral in #(4 a) is to be at most 0.05. determine the appropriate value of n (#of subintervals) c. 14 3. . a. Using Simpson's Rule (n-6). approximatevx +1 de b. Determine the upper bound on the error in part a. Hint56r -...
equidistant subdivision of [0, 2] in 20 subintervals to approximate 1. Using an sin(z) dr by the midpoint rule, estimate the absolute total error. equidistant subdivision of [0, 2] in 20 subintervals to approximate 1. Using an sin(z) dr by the midpoint rule, estimate the absolute total error.
Find the midpoint rule approximations to the following integral. 3 X dx using n 1, 2, and 4 subintervals. 1 M(1)- (Simplify your answer. Type an integer or a decimal.) Find the midpoint rule approximations to the following integral. 3 X dx using n 1, 2, and 4 subintervals. 1 M(1)- (Simplify your answer. Type an integer or a decimal.)
1 Find the midpoint and trapezoid rule approximations to S cos zxdx using n=25 subintervals. Compute the relative error of each approximation. 0 T(25) (Do not round until the final answer. Then round to six decimal places as needed.)
Find the indicated Midpoint Rule approximation to the following integral. 12 S22 2x dx using n=1, 2, and 4 subintervals 4 12 The Midpoint Rule approximation of S xx? dx with n= 1 subinterval is (Round to three decimal places as needed.)
Question involving Simpon's rule, Midpoint rule, and the error bound rule. How do I solve for b), d), and g)? Let f(x)-ecos(x) and 1 -Ís2π f(x) dx (a) Use M1o to approximate I to six decimal places. M17.95492651755339 (b) Use the fact that |f"(x)| e on [0, 2T to obtain an upper bound on the absolute error EM of the approximation from (a). Make sure your answer is correct to six decimal places EM0.16234848503 (c) Use Si0 to approximate I...
FEEDBACK Content attribution QUESTION 14 . 1 POINT Using Simpson's rule with 6 subintervals, determine an upper bound for the error in estimating (3x + 2x²) dx. Provide your answer below: FEEDBACK Content attribution SUBMIT
Let x In I dx. a) Find the exact value of 1 b) Use composite trapezoidal rule with n = 4 subintervals to approximatel. Calculate the exact error c) Use composite simpson's rule with n = 4 subintervals to approximatel. Calculate the d) Use composite simpson's rule with n = 6 subintervals to approximate I. Calculate the exact error exact error