Math 120 Homework Assignment 12 DUE DATE: DEC. 9, 2021 1. The illumination from a light source is inversely proportional to the square of the distance from that source. Two light sources are located 10 m apart. One light source is four times as bright as the other. Find the point between them where the illumination is the weakest. NOTES FOR PROBLEM 1: (2) As usual in max/ min problems, you will have to first write down the the function you need to maximize. One way to start is to introduce a variable, say x, which is the distance from one of the sources of illumination. (ii) The resulting function will be undefined at the endpoints (x = 0 and x = 10 respectively). Besides finding the critical point, give an argument that that critical point is really an absolute min on the interval (0, 10) (as opposed to being a local min, a local max, a global max, or any other possibility.)