Numerical Analysis, please help! 2. Use Simpson's rule with m = 4 panels (number of subintervals...
3 11 Use Simpson's rule with n=1 (so there are 2n = 2 subintervals) to approximate dx. 1 + x2 The approximate value of the integral from Simpson's rule is (Round the final answer to two decimal places as needed. Round all intermediate values to four decimal places as needed.) 5 Use Simpson's rule with n=4 (so there are 2n = 8 subintervals) to approximate OX dx and use the fundamental theorem of calculus to find the exact value of...
7 Use Simpson's rule with n=1 (so there are 2n = 2 subintervals) to approximate 8 dx. The approximate value of the integral from Simpson's rule is (Round the final answer to two decimal places as needed. Round all intermediate values to four decimal places as needed.)
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)
numerical analysis
Find the relation error use the Simpson's 1/3 rule to approximate the definite integral. Use n=4, Só(3 – x2) dx A) = 33.5% E) = 10.0% B) = 2.36% F) = 31.01% C) = 7.36% G)12.5% D) = 12.00% H) = 0.0%
Numerical Methods
Consider the integral 2 (a) [16 marks] Use the composite Simpson's rule with four intervals to calculate (by hand) approximate value of the integral Calculate the maximum value of the error in your approximation, and compare it with the true error. (b) 19 marks] Determine the number of subintervals n and the step size h so that the composite Simpson's rule for n subintervals can be used to compute the given integral with an accuracy of 5 ×...
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) 4 In(1 + ex) dx, n = 8 Jo (a) the Trapezoidal Rule X (b) the Midpoint Rule (c) Simpson's Rule 8.804229
just need help on question 4, question 3 is done
Vidx. 3-(a) Use Simpson's Rule with n 4 subintervals to estimate (b) Compute the integral exactly 4 For the integral of problem #3: (a) Use the Error Bound to find the bound for the error (b) Compute the error made when using this estimate. 2 AX- 3. (a) S니 J dx C3,S.9 Δx AX3 f)fx 2tx)x u A 3 AXn 322 42 X n 333 512 1시 2 X x...
4. -1 POINIS Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for the given value of n Round your answer to four decimal places and compare the results with the exact value of the definite integral dx, 4 Trapezoidal Simpson's exact Need Help? Read Talkie Tur
Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) S 2 + cos(x) dx, n=4 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule Need Help? Read Talk to Tutor
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