The temperature at the point (x, y) on a metal plate is given by the function T(x, y) = 2 - 4x² - y² + xy. Find the direction of greatest increase in heat from the point (1, 1) and the rate of increase.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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The temperature at the point (x, y) on a metal plate is given by the function
2
T(x, y) = 2 - 4x² - y² + xy.
Find the direction of greatest increase in heat from the point (1, 1) and the rate of increase.
Transcribed Image Text:The temperature at the point (x, y) on a metal plate is given by the function 2 T(x, y) = 2 - 4x² - y² + xy. Find the direction of greatest increase in heat from the point (1, 1) and the rate of increase.
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