CBE20258 Final: CBE 20258 Final Exam 2014

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31 Jan 2019
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You may use one sheet of personally prepared notes . Integration error propagation: derive the local error and error amplification factor for the backward euler method, what is the stability interval for this method, briefly discuss the relative advantages and disadvantages of the two-stage runge. Kutta method and the trapezoidal rule for non-linear ode"s. A builder has recently purchased a 100 acre tract of land and is planning to build houses on it. We assume that any combination of the large and small lots are possible (not usually a great assumption). Based on past experience with the market the profit on a small house is expected to be k 5k/house and the profit on a large house is k 80k/house. The covariance between large and small house profits is 175 (k$/house)2. In a given year all large houses have the same profit, as do all small houses.

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