For each of the following functions, find the maximum and minimum values of the function on the circular disk: x^2+y^2≤1. Do this by looking at the level curves and gradients. (A) f(x,y)=x+y+1 : min value : max value :
For each of the following functions, find the maximum and minimum values of the function on the circular disk: x^2+y^2≤1. Do this by looking at the level curves and gradients. (A) f(x,y)=x+y+1 : min value : max value :
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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For each of the following functions, find the maximum and minimum values of the function on the circular disk: x^2+y^2≤1. Do this by looking at the level curves and gradients.
(A) f(x,y)=x+y+1 :
min value :
max value :
(B) f(x,y)=x^2+2y^2 :
min value :
max value :
(C) f(x,y)=x^2−2y^2 :
min value :
max value :
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