Chapter 18, Problem 12P

(a)

To determine

To calculate: The correct value of the given function analytically for $f\left(x\right)=0.85$.

$f\left(x\right)=\frac{x^2}{1+x^2}$

(b)

To determine

To calculate: The value of $x$ for which $f\left(x\right)=0.85$ using cubic interpolation of $x$ versus $y$.

(c)

To determine

To calculate: The value of $x$ for which $f\left(x\right)=0.85$ using inverse interpolation with quadratic interpolation and the quadratic formula.

(d)

To determine

To calculate: The value of $x$ for which $f\left(x\right)=0.85$ using inverse interpolation with cubic interpolation and bisection.