Employ inverse interpolation to determine the value of x that corresponds to f (x) = 0.93 for the following tabulated data:
x | 0 | 1 | 2 | 3 | 4 | 5 |
f(x) | 0 | 0.5 | 0.8 | 0.9 | 0.941176 | 0.961538 |
Note that the values in the table were generated with the function f (x) = x2/(1 + x2).
(a) Determine the correct value analytically.
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