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The atmospheric temperature $T$ near ground level in a certain region is $T=a x^{2}+b y^{2},$ where $a$ and $b$ are constants. What type of curve is each isotherm (along which the temperature is constant) in this region?
hyperbola.
Calculus 3
Chapter 29
Partial Derivatives and Double Integrals
Section 1
Functions of Two Variables
Partial Derivatives
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