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ure at a polmt In a T(x,y, z) = 200e-²²-3y²-9;²2 where T is measured in C° and x, y, z are measured in meters. You are currently at the point (2, –1, 2). (a) Find the rate of change of the temperature in the direction (1, -4, 1). (b) What direction should you go to warm up the fastest? (c) What is the maximum rate of temperature increase?

ure at a polmt In a T(x,y, z) = 200e-²²-3y²-9;²2 where T is measured in C° and x, y, z are measured in meters. You are currently at the point (2, –1, 2). (a) Find the rate of change of the temperature in the direction (1, -4, 1). (b) What direction should you go to warm up the fastest? (c) What is the maximum rate of temperature increase?

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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(2) The temperature at a point in a room is given by T(x, y, z) = 200e¬²²-3y²-9;² where T is measured in C° and x, y, z are measured in meters. You are currently at the point (2, –1, 2). (a) Find the rate of change of the temperature in the direction (1, –4, 1). (b) What direction should you go to warm up the fastest? (c) What is the maximum rate of temperature increase?
Transcribed Image Text:(2) The temperature at a point in a room is given by T(x, y, z) = 200e¬²²-3y²-9;² where T is measured in C° and x, y, z are measured in meters. You are currently at the point (2, –1, 2). (a) Find the rate of change of the temperature in the direction (1, –4, 1). (b) What direction should you go to warm up the fastest? (c) What is the maximum rate of temperature increase?
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