Undergraduate

The temperature at a point ( x , y ) is T ( x , y ) , measured in degrees Celsius. A bug crawls

The temperature at a point
(x, y)
is
T(x, y),
measured in degrees Celsius. A bug crawls so that its position after t seconds is given by
x =
6+ t
, y =2+
110
t,
where x and y are measured in centimeters. The temperature function satisfies Tx(4,3)=4 and Ty(4,3)=4. How fast is the temperature rising on the bug's path after 10 seconds?

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