Project 2 due 11 Sept This is now ready. Plot the following graphs. For full credit STABLE your sheets to together. ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Be sure your name is part of the document. Be sure your name is in the title of each plot. Be sure to include axes, and rotate the figure to a nice point of view. 1. The parametric curve for t in [0,4]. Increase the number of samples until it looks nice. 2. The function sin(x*y) for (x,y) in [0,8]x[0,8]. Increase the number of samples so the graph looks smooth 3. On the same plot draw the three hyperboloids +x^2-y^2-z^2=1, -x^2+y^2-z^2=1 and -x^2-y^2+z^2=1 do any two of these graphs intersect? 4. The monkey saddle. This is a saddle surface with 3 down directions, two for the legs and one more for the monkeys tail. It is obtained by expanding (x+iy)^3 (i=squareroot(-1)) and taking the real part. (i is written I in maple). the function Re does the real part and evalc (evaluate complex) is needed to see the x and y's. Plot the function. 5. Repeat problem 4 with 4 down directions (The 4th power). What do you get for two down directions? Deleted items: 2.5 Do the same for a contourplot of sin(x*y) <-- contourplots will be part of project 3.