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The temperature at a point (x, y, z) is given by −2x²–5y²–5z², T(x, y, z)= 3e where T is in degrees Celsius and x, y and z are in metres. Consider the point P › 1). a. b. Find the rate of change in temperature, R₁ at the point P, in the direction toward the point 35 (3²3, 147,¹1). R₁ = Show/hide sin (a) V= Ә əx f Show/hide 8 Find the unit vector v in the direction of the fastest temperature increase at P. a

The temperature at a point (x, y, z) is given by −2x²–5y²–5z², T(x, y, z)= 3e where T is in degrees Celsius and x, y and z are in metres. Consider the point P › 1). a. b. Find the rate of change in temperature, R₁ at the point P, in the direction toward the point 35 (3²3, 147,¹1). R₁ = Show/hide sin (a) V= Ә əx f Show/hide 8 Find the unit vector v in the direction of the fastest temperature increase at P. a

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 -2x²-5y²-5x² T(x, y, z)= 3e7 where T is in degrees Celsius and x, y and z are in metres. Consider the point P 1 1 8'7'5 a. b. Find the rate of change in temperature, R₁ at the point P, in the direction toward the point (3, 1547,1). R₁ = ab Show/hide sin (a) V = ə əx f Show/hide Find the unit vector v in the direction of the fastest temperature increase at P. a
Transcribed Image Text:The temperature at a point (x, y, z) is given by -2x²-5y²-5x² T(x, y, z)= 3e7 where T is in degrees Celsius and x, y and z are in metres. Consider the point P 1 1 8'7'5 a. b. Find the rate of change in temperature, R₁ at the point P, in the direction toward the point (3, 1547,1). R₁ = ab Show/hide sin (a) V = ə əx f Show/hide Find the unit vector v in the direction of the fastest temperature increase at P. a
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