Chapter 5.5, Problem 2SA

Write a program that, for any input $s$ between 0 and 1, finds the parameter $t*\left(s\right)$ that is s of the way along the curve. In other words, the arc length from $t=0$ to $t=t*\left(s\right)$ divided by the arc length from $t=0$ to $t=1$ should be equal to $s$ . Use the Bisection Method to locate the point $t*\left(s\right)$ to three correct decimal places. What function is being set to zero? What bracketing interval should be used to start the Bisection Method?