1724 Solve using Lagrange multipliers. Suppose that the temperature at a point (x, y) on
Chapter 13, Problem 24(choose chapter or problem)
\(17–24\) Solve using Lagrange multipliers.
Suppose that the temperature at a point \((x,y)\) on a metal plate is \(T(x, y)=4 x^{2}-4 x y+y^{2}\). An ant, walking on the plate, traverses a circle of radius \(5\) centered at the origin. What are the highest and lowest temperatures encountered by the ant?
Equation Transcription:
17–24
(x, y)
5
Text Transcription:
17–24
(x, y)
T(x, y) = 4x^2 − 4xy + y^2
5
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