• Draw the graph of y = sin (1/x) for |x| < 1. Color blue the regions inside the graph where y is positive, and red those where it is negative.
  • Draw and fill the curve x4 + y4 = 1. Then do this by relying on a method that will draw |x|n + |y|n = 1 for any positive integer n. What happens as n goes to infinity?
  • Produce the following figure: