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J(se.7)dt Estimate the minimum number of subintervals to approximate the value of with an error of magnitude less t...
-4 using Estimate the minimum number of subintervals to approximate the value of 5 sin (x9)dx with an error of magnitude less than 2x 10 -6 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.) The minimum number of subintervals using Simpson's rule is (Round up to the nearest even whole number.) -4 using 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.)
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...
(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).
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
Use series to estimate the integral's value with an error of magnitude less than 10-3. 0.21 dx 1 +x^ (Round to three decimal places as needed.) 0
Question 6 [10 marks a) Let f(x) = x for each xe [a,b]. Show that for any number of subintervals, the global error js(x)dx-SUS J) = 0. [6] Hint: Obtain the local error first and then calculate the global error. SCS ,h) denotes approximation using the composite Simpson's Rule. b) Determine the minimum number of subintervals so that the upper bound of the (absolute) global error for the composite Simpson's Rule applied to ja?-10x”) dx is less than 10%. [41...
Use a series to estimate the following integral's value with an error of magnitude less than 105 0.2 sin x dx
MATLAB Create a function that provides a definite integration using Simpson's Rule Problem Summar This example demonstrates using instructor-provided and randomized inputs to assess a function problem. Custom numerical tolerances are used to assess the output. Simpson's Rule approximates the definite integral of a function f(x) on the interval a,a according to the following formula + f (ati) This approximation is in general more accurate than the trapezoidal rule, which itself is more accurate than the leftright-hand rules. The increased...
solve ? Use a series to estimate the following integral's value with an error of magnitude less than 10 . 0.3 |3ex dx (Do not round until the final answer. Then round to five decimal places as needed.)