Math 251 Maple Lab 2 Instructions This lab asks you to investigate and report on the molecule. You will use Maple to analyze your curve, and answer these questions: How big is the curve? How long is the curve? Does the curve intersect itself? What is the largest curvature that this curve has? At what point does this largest curvature occur? Show this on a graph. Precise computations of the quantities requested are almost always impossible. Therefore you will need to use numerical techniques, or make estimates by examining graphs. Your results will be approximations. This is good enough!1 Please hand in the following material, stapled together: (1) A text header showing your name and section number (2) A graph of the curve, clearly identied. If you need to, show several graphs of the curve which will help convince the reader that your curve does or does not have several self-intersections. Give your own conclusion about this. (3) Several graphs of the curve which allow you to identify a \"box\" in which the curve sits. The box should be of the form xmin x xmax , ymin y ymax , and zmin z zmax . You can indicate the dimensions \"by hand\" on your printout. (4) A computation of the length of your curve. (5) A computation of the curvature of the curve when t = 2. Show that this matches the information you were given. Graph the curvature of your curve as a function of the parameter, t. Indicate \"by hand\" on this graph the value of the parameter and the value of the curvature for the point on the curve which has the largest curvature. (6) A determination of the coordinates of the point on the curve which has the largest curvature. Identify this point with the greatest curvature on a graph of your curve. You may wish to show both a constrained and an unconstrained view. Clean up your worksheet before printing it by removing any instructions that had errors or were not useful. 1It is hard to imagine getting even approximate answers for these questions without using sophisticated software (and hardware)