4. Find the points on the parabola y = x2 + 2r that are closest to the point (-1,0). 5. The intensity of noise at a point is directly proportional to the intensity of noise at the source and inversely proportional to the square of the distance from the source. In mathematical terms: Let I, denote the intensity of noise produced by the source s and let d denote the distance of a point p from the source. If I denotes the intensity of sound, due to s, at the point p, then kI. Ip 2 where & is a constant. After work a person wishes to sit in a long park bounded by two parallel highways 300 meters apart. Suppose one highway is 8 times as noisy as the other. In order to have the quietest repose, how far from the quieter highway should the person sit? 6. Find f if f"(x) = 8x3 +5, f(1) = 0, and f'(1) = 8