Question 12 The temperature T at a point (x,y,z) of a solid is given by the function T(x,y,z) = 2x² - y² + 2z + y. Find the rate of change of the Temperature at the point P(1, -2, 1) in the direction from the point P towards the point Q(-1, 4, 4). Enter an integer or a fully reduced fraction such as -2, 7, -3/4, 41/7 etc.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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Question 12
The temperature T at a point (x,y,z) of a solid is given by the function
T(x,y,z) = 2x² - y² + 2z + y.
Find the rate of change of the Temperature at the point P(1, -2, 1) in the
direction from the point P towards the point Q(- 1, 4, 4).
Enter an integer or a fully reduced fraction such as -2, 7, -3/4, 41/7 etc.
Transcribed Image Text:Question 12 The temperature T at a point (x,y,z) of a solid is given by the function T(x,y,z) = 2x² - y² + 2z + y. Find the rate of change of the Temperature at the point P(1, -2, 1) in the direction from the point P towards the point Q(- 1, 4, 4). Enter an integer or a fully reduced fraction such as -2, 7, -3/4, 41/7 etc.
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