ENGR 391 Final: ENGR 391 Final Exam 2008 Winter A
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Solve the following nonlinear equation using the secant method with x0=0 and x1=2: xf. Problem 2 [solving systems of linear equations] [40 marks] 27 x a- using lu decomposition b- using gauss-seidel method (3 iterations), choose as initial guesses: y=z=0 c- check your results d- compare the two methods. Compute this integral using three-point gauss quadrature rule. Problem 4 [solving ordinary differential equations] [20 marks: practice. Solve the following ode: dy ( ) 2. Using runge-kutta second order method (with heun"s method), for of 0. 2. Problem 5 [theory questions] [20 marks: you are given two methods to compute the integral of a function, the errors related to each one of them are: n i x f. Discuss which one are you expected to converge faster: what is the error on the determination of the kinetic energy (e) of a moving object, if its mass (m) is 5 kg and its velocity (v) 2 m/s.
