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The temperate at a point (x, Y, Z) [s given by TC, Y) z)= 200e^?-5y2-9z? where Tis measured in°C and X, Y, Z in meters. al Find the rate of change of temporature at the pornt P(2,-1,4) in the directven towards' the peint C3,-4,6). ) In whreh directron does the te mperature merease fastest at P?, O Fmd the maximum rarte of inerease at P.

The temperate at a point (x, Y, Z) [s given by TC, Y) z)= 200e^?-5y2-9z? where Tis measured in°C and X, Y, Z in meters. al Find the rate of change of temporature at the pornt P(2,-1,4) in the directven towards' the peint C3,-4,6). ) In whreh directron does the te mperature merease fastest at P?, O Fmd the maximum rarte of inerease at P.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The temperateat point (x,Y,2) 1s given by where Tis measured in °C and X, Y, z in meters. al Find the rate of change of temporature at the pornt P(2,-1,4) in the dorectven towards' the peint (3,-4,6). O In whrch direet ron does the te mperature merease fastest at P? ) Fmd the maximum rarte of inerease at Pi
Transcribed Image Text:The temperateat point (x,Y,2) 1s given by where Tis measured in °C and X, Y, z in meters. al Find the rate of change of temporature at the pornt P(2,-1,4) in the dorectven towards' the peint (3,-4,6). O In whrch direet ron does the te mperature merease fastest at P? ) Fmd the maximum rarte of inerease at Pi
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