MATH 4650 Final: Math4650FinalExam
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Final exam math 4/5650 - numerical analysis. Take home part - due thursday, dec 14, 12:00pm (noon) - eng 271. 2x + 1 x2 g2(x) = r2 + Hint: rst, use h = 2, and so, h/2 = 1. (c) use (composite) trapezoidal rule and simpson"s rule to approximate r 4. 0 f (x) dx: consider the following di erential equation with exact solution y(t) = t2(et e) y = 0 t 2, y(0) = 0. (a) approximate the solution using taylor"s method of order two and h = 0. 1. Compare with the exact solution. (b) approximate the solution using runge-kutta method of order 4 and h = 0. 1. Compare with the exact solution. (c) plot all three solutions on the same graph. (d) use linear interpolation and the values from part (b) to nd an approximate value of y(1. 75) and compare to the exact value: let.
