Temperatures A flat circular plate has the shape of the
Chapter 13, Problem 41E(choose chapter or problem)
Temperatures A flat circular plate has the shape of the region \(x^{2}+y^{2} \leq 1\). The plate, including the boundary where \(x^{2}+y^{2}=1\), is heated so that the temperature at the point \((x, y)\) is
\(T(x, y)=x^{2}+2 y^{2}-x\)
Find the temperatures at the hottest and coldest points on the plate.
Equation Transcription:
Text Transcription:
x^2+y^2 leq1
x^2+y^2=1
(x,y)
T(x,y)=x^2+2y^2-x
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