MATH 105 Lecture Notes - Lecture 7: Ellipse, Utility

• School: UBC
• Department: Mathematics
• Course: MATH 105
• Professor: ISSA, AHMAD ISSA KHALID

Document Summary

Exercise findthe absolute mir and naor values of flny f n 4y2 over r iny. 1 ey el what is r ry ii. K a complicated e. g not a when the boundary of r is more rectangle or triangle we canfindthe minimax on the boundary using. Det the gradient of flu y lagrange muliphyers need is the vector 17thg ctfu i. To find the minimax of amyl subject to the constraint glmy 0 we do the following n sage"s. Themaximum value gives the man of any subject to the constraint gcng into amyl. Eg find the nin and max values of fluy 2u2ty2t2 objective function where my tie on the ellipse c given by gluyl int 402 4 0 the lagrange multipliers. 0 n t4g 4 0 from d get u 0 or 4 2 analyze each case separately. 02 uj 4 0 y21 so y t 1 we a o from.