Calculus Animations,Graphics and Lecture Notes
Optimization for Functions of 2 Variables
The discssion of optimization is broken into 5 lectures:1.locating local extrema2.classifying local extrema using contour diagrams and gradient fields3.classifying local extrema using the second partials test4.global extrema5.Lagrange Multipliers
Locating Local Extrema
Classifying Local Extrema using Contour Diagrams and Gradient Fields
Classifying Local Extrema with the 2d Partials Test
Global Extrema
Global Extrema - LaGrange's Theorem
The following 2 questions are concerned with the optimization of functions of 2 variables1. Find and classify all local extrema of f(x,y) = x2 + 2y2 -x2y2. Let f(x,y = xy - x - y +3 on the triangular region with vertices (0,0),(2,0), and (0,4)Find the global extrema.
The following 2 questions are concerned with the optimization of functions of 2 variables
1. Find and classify all local extrema of f(x,y) = x2 + 2y2 -x2y
2. Let f(x,y = xy - x - y +3 on the triangular region with vertices (0,0),(2,0), and (0,4)
Find the global extrema.
Solutions to Optimization Problems
The Smart Bunny-A very short story by Kurt Vonnegut Jr.
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