2) The temperature T at a point (x, y) is T(x, y) and is measured using the Celsius scale. A fly crawls so that its position after t seconds is given by x = √1+t and y = +2 where x and y are measured in centimeters. The temperature function satisfies Tx (2,3) = 4 and Ty(2,3) = 3. How fast is the temperature increasing on the fly's path after 3 sec?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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2) The temperature T at a point (x, y) is T(x, y) and is measured using
the Celsius scale. A fly crawls so that its position after t seconds is given
by x=√√1+t
and y = t +2
where x and y are measured in centimeters.
The temperature function satisfies Tx (2,3) = 4 and Ty (2,3) = 3.
How fast is the temperature increasing on the fly's path after 3 sec?
Transcribed Image Text:2) The temperature T at a point (x, y) is T(x, y) and is measured using the Celsius scale. A fly crawls so that its position after t seconds is given by x=√√1+t and y = t +2 where x and y are measured in centimeters. The temperature function satisfies Tx (2,3) = 4 and Ty (2,3) = 3. How fast is the temperature increasing on the fly's path after 3 sec?
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