MATH 4650 Midterm: Math4650Exam2

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31 Jan 2019
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Exam ii math 4/5650 - numerical analysis. Take home - due monday, nov 20, 12:15pm. Answer each problem on a separate sheet of paper, with your name clearly visible: let f (x) = ex 2x2 1. (a) use a centered three point formula with h = . 2 to approximate f (2). Also, compute the error bound associated with this approximation (not the actual error! (b) use a forward three point formula with h = . 2 to approximate f (2). Also, compute the error bound associated with this approximation (not the actual error! (c) use a backward three point formula with h = . 2 to approximate f (2). Also, compute the error bound associated with this approximation (not the actual error: suppose that n (h) is an approximation to m for every h > 0 and that. M = n (h) + k1h2 + k2h4 + k3h6 + .