Consider the helix represented by the vector-valued function r(t) = (2 cos(), 2 sin(), c)- (a) Write the length of the arc s on the helix as a function of t by evaluating the integral below. V5t (b) Solve for & 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. r(s) = X (c) Find the coordinates of the point on the helix for the following arc lengths. (Round your answers to three decimal places.) s = v5 and s = 4 s = v5 (x, y. 2) = ( 2 cos(1 ),2 gin (1 ),1 S=4 (x, Y, 2 ) =( X (d) Evaluate | Ir [s)|1. 1