1. Two cars start moving from the same point. One travels south at a constant speed of 60mph, and the other travels west at a constant speed of 25 mph. At what rate is the distance between the two cars increasing 2 hours later? 2. For the following functions find: (i) The intervals where the function is increasing and decreasing (ii) The intervals where the function is concave up and concave down (iii) Sketch a graph a) f(x) = x3 15x2 b) f(x) = x2ex