MATH 1XX3 Lecture Notes - Lecture 33: Closed Set

• School: McMaster University
• Department: Mathematics
• Course: MATH 1XX3
• Professor: Adam Van Tuyl

Document Summary

Problem : find the closest point to the point p=( 2,0 , If ( x , y , z ) is a point on the plane , we want to minimize the distance : (x-2p+cyopt(z+3p5o. D= to minimize d it is enough to minimize : D ( x +212 + y2 + ( z +312. " ( x . (cid:15482) . ( x. The closest point is ( st , , f) 2 variable case : function on a closed interval occurs either where the derivative is zero or at. A closed set in pi is a collection of points that includes its boundary. A closed set is bounded if it is contained in a disk of finite radius . Values off either occur at critical points in d or on the boundary of d. The largest value among all is the absolute min all these . these is the absolute max , the smallest value among.