Determine the mean value of the function (x) = - 46 + 45x 14x2 + 2x3

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Determine the mean value of the function

ƒ(x) = - 46 + 45x – 14x2 + 2x3 – 0.075x4

Between x 2 and 10 by

(a) Graphing the function and visually estimating the mean value,

(b) Using Eq. (PT6.4) and the analytical evaluation of the integral, and

(c) Using Eq. (PT6.4) and a five-segment version of Simpson’s rule to estimate the integral. Calculate the relative percent error.


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Numerical Methods For Engineers

ISBN: 9780071244299

5th Edition

Authors: Steven C. Chapra, Raymond P. Canale

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