MATH 1550 Chapter : Optimization
Document Summary
Optimization: the sum of two positive numbers is 18. What is the smallest possible value of the sum of their squares: find the point on the parabola y = x2 + 1 that is closest to the point (cid:18)54, Optimization: a right circular cylinder is inscribed in a cone of height 10 and radius 5. Find the largest possible volume of such a cylinder: (from hw) a piece of wire 20 meters long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. Optimization: (from hw) the illumination of an object by a light source is directly proportional to the strength of the source and inversely proportional to the square of the distance from the source. Optimization: (from hw) a painting in an art gallery has height h = 8 and is hung so that its lower edge is a distance d = 2 above the eye of an observer.
