x=2t3 +312-121 ,y = 213 +3,2+1 1.(12) Consider the parametric curve a. Use calculus to find all of the points where the tangent line is horizontal. (Recall that a "point" is defined by an ordered pair (x, y).) b. Use calculus to find all of the points where the tangent line is vertical. c. Use your calculator to sketch the curve. You will need to adjust the window size until you're sure you see all of the "interesting" features of the graph. Sketch the graph on your paper. Label both axes with a scale and make sure that all of the extrema appear. Include direction arrows on your graph. d. Set up the necessary integral to find the arc length between the points you found in part "b" Do not evaluate the integral; just set it up. e. Approximate the value ofyour integral in part "dâ using Simpson's Rule with n = 4 subintervals. Round your answer to the nearest hundredth.