Please rate me
-4 using Estimate the minimum number of subintervals to approximate the value of 5 sin (x9)dx...
J(se.7)dt Estimate the minimum number of subintervals to approximate the value of with an error of magnitude less than 104 using a. the error estimate formula for the Trapezoidal Rule. b. the error estimate formula for Simpson's Rule The minimum number of subintervals using the Trapezoidal Rule is (Round up to the nearest whole number.) J(se.7)dt Estimate the minimum number of subintervals to approximate the value of with an error of magnitude less than 104 using a. the error estimate...
5 AY Estimate the minimum number of subintervals to approximate the value of (31° + 5t) dt with an error of magnitude less than 10 a. the Trapezoidal Rule. b. Simpson's Rule. a. The minimum number of subintervals using the Trapezoidal Rule is (Round up to the nearest whole number.)
(a) Estimate So sin(x + 1) dx by using either Simpson's Rule or Trapezoidal Rule with n= 6 (Round the answer to 6 decimal places). (b) Estimate the minimum number of subintervals needed to approximate the integrals with an error of magnitude less than 10-4 by the rule you used in part (a).
lo Estimate the MinimUM number oF Su bintervalS to approximate the Valve oF an MEO 2 + Xb error of Magntude less than 4xlo USING aTre error estimate Formula For Trape Zodal Rule. the minrmum numlber Of a Subin tervals USing the Trapezodial Rule is? bThe error estimate Formula for SiMpSons Rule, The MinImUm number of Subintervals USing Simpson 's Rule 1s lo Estimate the MinimUM number oF Su bintervalS to approximate the Valve oF an MEO 2 + Xb...
Approximate the integral below using 4 subintervals and: (x + 1) dx (a) The Simpson's rule (5 points): (b) Compare your estimate with the exact value of the integral. (5 points)
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
4. Consider using the Simpson's 1/3 rule to estimate the following integral I[cos(x 3)l dx (a) Find the approximate values of 1 when the step size h-: 2 and h 1 , respectively. (b) Find an upper bound of the step size h in order to guarantee that the absolute error (in absolute value) of the estimate is less than 0.001. Hint: 2 sin x cos x = sin (2x). I cos x I " The arguments of all trigonometric...
22x dx to 6 decimal places 1. Use Simpson's Rule with 8 subintervals to approximate Compare your result with the true value by calculating the simple error, ie |true - approx 12
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.
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