Answer(b) None of the above
Details solutions is given below
Problem 16: Quadratures Given the integral: À (2.5 – 2 ) dz The Jacobian of the...
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
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 15: Quadratures Given the integral: & (2.5 – 2 ) da Applying Gauss Quadrature on the integral, the required mapping (1) where 5 € (-1, +1] is () = 7.005 +3.00 (C) = 1.506 +3.50 (C) = -7.005 +3.50 (C) = 5.005 +2.00 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
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.
(1 point) Evaluate the integral. 16 16- S. 1 (a2y2z2)1/2 dy dz dx 16-r 0 (1 point) Evaluate the integral. 16 16- S. 1 (a2y2z2)1/2 dy dz dx 16-r 0
Please show steps with good handwriting or typing. Circled answer may or may not be correct. Thanks! Problem #4: (16 points) Estimate the following integral using a three point Gauss Legendre rule I = | xe* +3dz Gauss zeroes and weights - 3/5 5/9 10 8/9 3 + 3/5 5/9 22. what is the required mapping (3) (a) x(E)= $ + 3.5 x()= 1.75 $ +3.75 x(E)= 3.5 $ +1.5 (d) x(E)= 1.5 & + 3.5 (e) none of the...
Problem 2. (Section 16.4, #39, page 1045) Evaluate the integral S T Va dz to dry