Changing temperature along a circle Is there a direction u

Chapter 13, Problem 34E

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Changing temperature along a circle

Is there a direction u in which the rate of change of the temperature function $T(x,y,z)=2xy-yz$

(temperature in degrees Celsius, distance in feet) at $P(1,-1,1)$ is $-3^{\circ} \mathrm{C} / \mathrm{ft}$? Give reasons for your answer.

Equation Transcription:

$T(x,y,z)=2xy-yz$

$P(1,-1,1)$

$-3$ ℃/ft

Text Transcription:

T(x,y,z)=2xy-yz

P(1,-1,1)

-3 degree Celcius /ft

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