Mathematics, 22.04.2020 22:18 AdoNice
We want to find the maximum and minimum values of f(x, y)=12x2+13y2 on the disk D: x2+y2≤1. What is the critical point in D? (x, y)=( , ) Now focus on the boundary of D, and solve for y2. Restricting f(x, y) to this boundary, we can express f(x, y) as a function of a single variable x. What is this function and its closed interval domain? f(x, y)=f(x)= where ≤x≤ What are the absolute maximum and minimum values of the function along the BOUNDARY of D? maximum value: minimum value: What are the absolute maximum and minimum values of f(x, y) over all of D? maximum value: minimum value:
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We want to find the maximum and minimum values of f(x, y)=12x2+13y2 on the disk D: x2+y2≤1. What is...
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