In the previous question you plotted a Gaussian function G(x, y). In this question we look at contour plots of G.

a. Set µ = ν = 0 and σx = σy = 1. Show that the contour plot of G is a series of circles.

b. Change the values of µ and ν and draw the contour plot of G again. What do µ and ν control?

c. Change the values of σx and σy and draw the contour plot of G again. What do σx and σy control? (For this last bit you might need to use a computer, unless you remember the equation of an ellipse.)