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The temperature at a point (x, y, z) is given by where T' is in degrees Celsius and x, y and z are in metres. Consider the point P(1,1,1 10'8'8 a. T(x, y, z) = 8e-3x²-3y²–9z², R₁ = Show/hide Find the rate of change in temperature, R₁1 at the point P, in the direction toward the point 151 5'8'47

The temperature at a point (x, y, z) is given by where T' is in degrees Celsius and x, y and z are in metres. Consider the point P(1,1,1 10'8'8 a. T(x, y, z) = 8e-3x²-3y²–9z², R₁ = Show/hide Find the rate of change in temperature, R₁1 at the point P, in the direction toward the point 151 5'8'47

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 (x, y, z) is given by where T' is in degrees Celsius and x, y and z are in metres. Consider the point P(1,1,1 10'8'8 a. T(x, y, z) = 8e−3x² —3y²–922, R₁ = Show/hide Find the rate of change in temperature, R₁1 at the point P, in the direction toward the point 151 5'8'47
Transcribed Image Text:The temperature at a point (x, y, z) is given by where T' is in degrees Celsius and x, y and z are in metres. Consider the point P(1,1,1 10'8'8 a. T(x, y, z) = 8e−3x² —3y²–922, R₁ = Show/hide Find the rate of change in temperature, R₁1 at the point P, in the direction toward the point 151 5'8'47
Show/hide Find the unit vector v in the direction of the fastest temperature increase at P. V =
Transcribed Image Text:Show/hide Find the unit vector v in the direction of the fastest temperature increase at P. V =
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