The temperature at a point (x, y, z) is given by T(x, y, z) = 300e-x² - 3y² - 9z² where 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, 3) in the direction towards the point (6, -2, 6). °C/m (b) In which direction does the temperature increase fastest at P? (c) Find the maximum rate of increase at P. Need Help? Read It

The temperature at a point (x, y, z) is given by T(x, y, z) = 300e-x² - 3y² - 9z² where 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, 3) in the direction towards the point (6, -2, 6). °C/m (b) In which direction does the temperature increase fastest at P? (c) Find the maximum rate of increase at P. Need Help? Read It

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 29E: Explain the difference between the average rate of change of y as x changes a to b, and the...

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