Mathematics, 02.04.2020 19:31 madmar
We want to find the maximum and minimum values of f(x, y) = 10x2 + 11y on the disk D: x2 + y2 < 1.
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?
Answers: 3
. Parameterize it by taking 
and 
, with 
. Then 
reduces to a univariate function 
:
.
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We want to find the maximum and minimum values of f(x, y) = 10x2 + 11y on the disk D: x2 + y2 < 1...
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