D Question 17 1 pts Using a two-point Gauss quadrature, where the weights and abscissae are...
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
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 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
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
Question 1 (Quadrature) [50 pts I. Recall the formula for a (composite) trapezoidal rule T, (u) for 1 = u(a)dr which requires n function evaluations at equidistant quadrature points and where the first and the last quadrature points coincide with the integration bounds a and b, respectively. 10pts 2. For a given v(r) with r E [0,1] do a variable transformation g() af + β such that g(-1)-0 and g(1)-1. Use this to transform the integral に1, u(z)dz to an...
Question 18 1 pts The two-point Gauss rule, is a closed rule and integrates polynomials up to a linear order exactly. is compound closed rule and integrates logarithmic functions exactly. None of the above is a closed open rule and integrates polynomials up to a cubic order exactly is an open rule and integrates polynomials up to a cubic order exactly.
Question 24 1 pts Using the shooting method for the following second-order differential equation governing the boundary value problem G.E: + EA (x) +u = L (x) € (0,L] B.C's: u () = 0 and EA (2) de Iz-L=F, the trapezoidal method is used to converts the problem into coupled integral equations solved at the quadrature points. None of the above. finite differences are used to convert the governing equation and boundary conditions of the problem into an analog set...
D Question 17 1 pts Consider a monopolist that has two types of consumers. The first, students have a demand curve given by the following: QA-120-2P. The second type of consumer are non-students who have the following demand curve: QB-200-4P. If the monopolist has constant marginal and average cost equal to 10, which of the following is true if the monopolist practices third degree price discrimination? Total profit earned equals 2150. Total profit earned equals 2250 Total profnt earned equals...
D Question 15 1 pts Consider a monopolist that has two types of consumers. The first, students have a demand curve given by the following: QA-120-2P. The second type of consumer is non-students who have the following demand curve: QB-200-4P. If the monopolist has constant marginal and average cost equal to 10, which of the following is truef the monopolist practices third degree price discrimination? The price charged to student equals 35 and non-students equals 60 The price charged to...
D Question 5 1 pts Laura runs a nightclub called the 'Two Standard Drinks. Given the popularity and cache of the club, she has a monopoly position in the market. The market demand curve is given by P = 120 - 9. Laura has a marginal cost per drink of MC = 2q and a fixed cost FC = $150. If Laura charges the same price to all customers. what are Laura's profit-maximising price PM and quantity qM? PM-590: -...