Take z = f(x, y) = xy and y = g(x) = 10 − x in x ∈ [0, 10], y ∈ [0, 10].
a) Plot the contour curve when z = 2 and the function g(x) in the x-y plane.
b) What are the values of x that minimize the vertical distance (in the y axis) between the two curves? Explain
c) What are the values of x that maximize the vertical distance (in the y axis) between the two curves? Explain