Consider the curve with parametrization given by: r ( t ) = ( 2 2t 12+1 - 1 , 1+1 where this curve begins at the point (1,0) and continues as t increases from t=0. . Now re-parametrization curve by arc length. . Simplify your work as much as you can. If you do this correctly, you'll get a familiar curve. . Find the curvature of this curve as a function of the arc length s.Consider the curve you encountered in problem #1. Suppose that you are at the point [5, D) and subjected to a force given by: F[m,y} : (32 + 333,411) How much work will you do traveling a circle from {5, 0} all the way back to [5, U)? Make sure to provide a clear. complete. and detailed Solution. lfyou use any theorems, state which ones you are using clearly and also show why those theorems are appropriate to this