What is the approximate value of (x² – 2)dx using two zone trapezoidal method?
Approximate the value of the integral by use of the trapezoidal rule, using n=8. 10 S 100 - x² ax 0 10 1100 - x dx = (Round the final answer to two decimal places as needed. Round all intermediate values to four decimal places as needed.)
For the IVP:
Apply Euler-trapezoidal predictor-corrector method to the IVP to
approximate y(2), by choosing two values of h, for which the
iteration converges. (Note: True Solution: y(t) = et − t
− 1). Present your results in tabular form. Your tabulated results
must contain the exact value, approximate value by the
Euler-trapezoidal predictor-corrector method at t0 = 0,
t1 = 0.5, t2 = 1, t3 = 1.5,
t4 = 2, t5 = 2.5, t6 = 3,
t7 = 3.5...
4 Compare these results with the approximation of the Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule with integral using a graphing utility. (Round your answers to four decimal places.) 1/2 sin(x) dx Trapezoidal Simpson's graphing utility Need Help? Read Watch T alk to a Tutor Submit Answer Practice Another Version -/3 POINTS LARCALC11 8.6.505.XP.MI. MY NOTES | ASK YOUR TEACHER Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule with n=4. Compare these results...
-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...
Using n=6 approximate the value of ∫_(-1)^2▒√(e^(-x^2 )+1) dx using
Trapezoid rule.
(6) Using n 6 approximate the value of L3 Ve-x2 + 1 dx using Trapezoid rule. 15Marks
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. foxt dx, n = 4 (x + 2)2 Trapezoidal Simpson's exact The velocity function, in feet per second, is given for a particle moving along a straight line. v(t) = 2 - t - 132, 1sts 13 (a) Find the...
(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).
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
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
10. Trapezoidal Rule is used to approximate the integral f(a) dx using 1- (yo +2y1 + 2y2 + x-na b-a + 2yn-1 +%),where Use this approximation technique to estimate the area under the curve y = sinx over。 a. π with n 4 partitions. x A 0 B: @ Δy B-A b. The error formula for the trapezoidal rule is RSL (12ba)1 where cischosen on the interval [a, b] to maximize lf" (c)l. Use this to compute the error bound...