3) It is desired to determine the value of x that corresponds to f(x) = 0.2 for the following tabulated data: 0 0.5 1 1.0 1.5 0.3679 2.0 y = f(x) 0.6065 Note that the values in the table were generated with the function f(x) = e-*. a) Use quadratic interpolation of x versus y. Select the base points to obtain the best possible accuracy. b) Use inverse interpolation with quadratic interpolation and the quadratic formula. c) Determine the true value analytically 0.2231 2.5 0.1353 3.0 0.0821 0.0498

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