The mean value theorem states that for a function f which is continuous on [a, b]...
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The mean value theorem states that for a function f which is continuous on [a, b] and differentiable on (a, b), there exists a point z* € (a,b) such that Write an R. program to find a when f, a,b are given. In doing so, you need to use one of root finding algorithms. For example, you may implement the code for the Newton-Raphson algorithm below. Test your code by finding a given that f(r)=r³-²-2r+1 over x € (0,3). myNR <-function(f, ini, tol=1e-8) { x <- ini fv <- f(x) err <abs (fv[1]) ii < 1 } while (err > tol && ii<100) { x < x fv [1] /fv [2] fv <- f(x) err <abs (fv [1]) cat (iter=', ii,'\n') ii - ii+1 f(b)-f(a) b-a } return (x) The mean value theorem states that for a function f which is continuous on [a, b] and differentiable on (a, b), there exists a point z* € (a,b) such that Write an R. program to find a when f, a,b are given. In doing so, you need to use one of root finding algorithms. For example, you may implement the code for the Newton-Raphson algorithm below. Test your code by finding a given that f(r)=r³-²-2r+1 over x € (0,3). myNR <-function(f, ini, tol=1e-8) { x <- ini fv <- f(x) err <abs (fv[1]) ii < 1 } while (err > tol && ii<100) { x < x fv [1] /fv [2] fv <- f(x) err <abs (fv [1]) cat (iter=', ii,'\n') ii - ii+1 f(b)-f(a) b-a } return (x)
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Related Book For
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
Posted Date:
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