Question: A function is known to fit closely to the approximate function It is fitted to the three points (z = 0, f = 1), (z

A function is known to fit closely to the approximate function

It is fitted to the three points (z = 0, f = 1), (z = 0.5, f = 1.128) and (z = 1.3, f = 1.971). Show that the parameters satisfy

0 10 1.128 = 0.5 1 1.971 1.3 1 -0.5640 b -2.562

Find a, b and c and hence the approximating function (use of MATLAB is recommended). Check the value f(1) = 1.543. (Note that the values were chosen from tables of cosh z.) The method described here is a simple example of a powerful approximation method.

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