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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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