Employ inverse interpolation to determine the value of x that corresponds to (x) = 0.85 for the

Employ inverse interpolation to determine the value of x that corresponds to Æ’(x) = 0.85 for the following tabulated data:

Note that the values in the table ware generated with the function
Æ’(x) = x3/(2 + x3).
(a) Determine the correct value analytically.
(b) Use cubic interpolation of x versus y.
(c) Use inverse interpolation with quadratic interpolation and the quadratic formula.
(d) Use inverse interpolation with cubic interpolation and bisection. For parts (b) through (d) compute the true percent relativeerror.

Transcribed Image Text:

|0 1 2 3 fix) 0 0.5 0.8 0.9 0.941176 0.961538 х