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The temperature at a point (z, y, z) is given by where T is in degrees Celsius and z, y and z are in metres. Consider the P(1, 1, ¹) a b T(x, y, z) = 5e-42²-9y2-922 point P Find the rate of change in temperature, R₁ at the point P, in the direction toward the point R₁- Find the unit vector v in the direction of the fastest femperature increase at P (7)

The temperature at a point (z, y, z) is given by where T is in degrees Celsius and z, y and z are in metres. Consider the P(1, 1, ¹) a b T(x, y, z) = 5e-42²-9y2-922 point P Find the rate of change in temperature, R₁ at the point P, in the direction toward the point R₁- Find the unit vector v in the direction of the fastest femperature increase at P (7)

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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The temperature at a point (z, y, z) is given by where T is in degrees Celsius and z, y and z are in metres. Consider the point P P(1, 1, ¹) a b T(x, y, z) = 5e-42²-9y2-922 Find the rate of change in temperature, R₁ at the point P, in the direction toward the point R₁- Find the unit vector v in the direction of the fastest femperature increase at P (7)
Transcribed Image Text:The temperature at a point (z, y, z) is given by where T is in degrees Celsius and z, y and z are in metres. Consider the point P P(1, 1, ¹) a b T(x, y, z) = 5e-42²-9y2-922 Find the rate of change in temperature, R₁ at the point P, in the direction toward the point R₁- Find the unit vector v in the direction of the fastest femperature increase at P (7)
Find the maximum rate of increase, R₂, at P R₂-
Transcribed Image Text:Find the maximum rate of increase, R₂, at P R₂-
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