The temperature at a point (x, y, z) is given byT(x, y, z) = 100e-x2 - 3y2 – 9z2where T is measured in °C and x, y, z in meters.(a) Find the rate of change of temperature at the point P(2, –1, 4) in the direction towards the point (5, -4, 5).°C/m(b) In which direction does the temperature increase fastest at P?(c) Find the maximum rate of increase at P.

Answered: The temperature at a point (x, y, z) is…

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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