-z“, where T is The temperature at a point (x, y, z) is given by T(x,y, z) = 200e measured in degrees Celsius and x, y, and z in meters. a. Find the rate of change of the temperature at the point (-1, 1, 2) in the direction toward the point (-1, 3, -3). b. In which direction does the temperature increase the fastest at (-1, 1, 2)?

-z“, where T is The temperature at a point (x, y, z) is given by T(x,y, z) = 200e measured in degrees Celsius and x, y, and z in meters. a. Find the rate of change of the temperature at the point (-1, 1, 2) in the direction toward the point (-1, 3, -3). b. In which direction does the temperature increase the fastest at (-1, 1, 2)?

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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