Consider the curve (a helix) parametrized by r(t) = [hcost, sin t, at] where a > 0 is a positive constant. as a increases, does the curvature κ increase, decrease, or stay the same? justify your answer by describing what happens to the curve and interpreting the formula κ = dt ds , where s = s(t) is the reparametrization of r such that |r 0 (s)| = 1. you need not compute the curvature directly.