Problem 15: Quadratures Given the integral: & (2.5 – 2 ) da Applying Gauss Quadrature on...
Problem 16: Quadratures Given the integral: À (2.5 – 2 ) dz The Jacobian of the mapping required to evaluate the integral is J-3.50 None of the above. J-5.00 J-1.5 J-7.00
D Question 17 1 pts Using a two-point Gauss quadrature, where the weights and abscissae are provided in the table 10 1 1.0 2 1.0 the value of the integral is estimated to be 5.69 None of the above. 5.54 5.67 5.78 Question 16 1 pts Problem 16: Quadratures Given the integral: (2.5 - 3) de The Jacobian of the mapping required to evaluate the integralis J-3.50 None of the above. J-5.00 J-1.5 J-7.00
Problem 11: Quadratures Given the integral: S (2.5 – 2 ) da Using a single trapezoid rule, T1, the integral is estimated as 525 None of the above. T1=540 T1559 T1567
Problem 13: Quadratures Given the integral: & (2.5 – 2 ) da Using the results from the last two computations, the error in the single trapezoid, T., value for the integral is estimated as e1-0.25 None of the above. e1-0.44 e1-1.95 e1-1.25
Problem 14: Quadratures Given the integral: Ś (2.5 - 2 ) da Using the results from the last two computations, the Romberg O(n^) estimate of the integral is R-5.65 R-5.25 R-9.95 R-5.25 None of the above.
Problem 12: Quadratures Given the integral: Ś (2.5 – 2 ) dz Using a compound trapezoid rule with two trapezoids, T2, the integral is estimated as T2-5.40 T2-5.59 None of the above. T2-5.67 T2-5.25
Given the integral: S (2.5 - ?) de The Jacobian of the mapping required to evaluate the integral is None of the above. J-3.50 J-5.00 J-1.5 J-7.00
Let I be the integral da x1 /2 Jo (a) (2 marks) Estimate I by applying the two-point Gauss-Legendre Rule once (b) (2 marks) Estimate I by applying the two-point Gauss-Legendre Rule twice. (c) (2 marks) Estimate the error in your estimate for part (a). Let I be the integral da x1 /2 Jo (a) (2 marks) Estimate I by applying the two-point Gauss-Legendre Rule once (b) (2 marks) Estimate I by applying the two-point Gauss-Legendre Rule twice. (c) (2...
Using a two-point Gauss quadrature, where the weights and abscissae are provided in the table i Si 1 1.0 IS 2 1.0 the value of the integral is estimated to be 5.54 5.78 None of the above. 5.67 5.69
(1 point) Math 215 Homework homework7, Problem 2 Evaluate the integral Se *v5x? + 5y da JJR where the region R is given by the figure with a = 5 and c = 4. (Assume the curved boundary of the figure is circular with center at the origin.) SUR À V5x2 + 5y2 dA =