Investigation Consider the helix represented by the vector-valued function .
(a) Write the length of the arc s on the helix as a function of t by evaluating the integral
(b) Solve for t in the relationship derived in part (a), and substitute the result into the original set of parametric equations. This yields a parametrization of the curve in terms of the arc length parameter. s.
(c) Find the coordinates of the point on the helix for arc lengths .
