Consider the curve defined by the vector function r(t)=(costtsint)i(sint-tcost)j, for 0t<.(a) Compute the curvature function(t)=1|v(t)||dTdt|Where v(t)=r'(t) is the velocity vector.(b) In Problem 1 you were asked to find the arc-length parametrization r(s) of this same curve. Using this result find the curvature function(s)=|dTds|(c) Argue that your results from part (a) and (b) are the same.