T(z, Y, 2) = 1500e 2y

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 temperature at a point (x,y,z) is given by

 
T(r, y, z) = 1500e
%3D
where T is measured in °C and r, y, and z in meters.
1. Find the rate of change of the temperature at the point P(2, –1,2) in the direction toward the point Q(3, –3, 3).
Answer: D f(2, –1, 2) =
PQ
2. In what direction does the temperature increase fastest at P?
Answer:
3. Find the maximum rate of increase at P.
Answer:
Transcribed Image Text:T(r, y, z) = 1500e %3D where T is measured in °C and r, y, and z in meters. 1. Find the rate of change of the temperature at the point P(2, –1,2) in the direction toward the point Q(3, –3, 3). Answer: D f(2, –1, 2) = PQ 2. In what direction does the temperature increase fastest at P? Answer: 3. Find the maximum rate of increase at P. Answer:
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