lieits for each problem. GOODLUCK. 1. A pretzel is made by a robot that is programed to place the dough according to the curve given by the following parametric equations: x = (2.5 - 0.312) cos(t) y = (3.3 - 0.412) sin(t) where -6 s t s 4. The length of a parametric curve is given by the integral: d dy + dt dt dt Determine the pretzel length difference, based on the given integral equation compared with: (a) (15 points) Use analytical integration by hand (manual computation). (b) (20 points) Simpson's 3/8 Rule. (Divide the whole interval into 16 subintervals)