Problem 1: Show that the extreme (minimum and maximum) values of moment of inertia (E) for a 2D binary object are given by: a - c)2 where a, b, c, and E are as defined in the lecture notes. (3 points) Argue that E is real and non-negative, and hence prove that 4ac 2 b2. (2 points) When is E equal to zero? (1 point)