Quiz #5 Math 1100-01, Fall 2005 (5 points) Problem 1. Consider the function f (x) = x4 − 18x2 + 32 (a) Find the intervals on which f is concave upward and concave downward. (b) Find the inflection points. 1 2 (5 points) Problem 2. A rancher has 200 feet of fencing to enclose two adjacent rectangular corrals. What dimensions should be used so that the enclosed area will be maximum? (Check your answer with the Second Derivative Test).