The temperature at a point xy is Txy measured in degrees Cel

The temperature at a point (x,y) is T(x,y), measured in degrees Celsius. A big crawls so that its position after t seconds is given by x = t sin(pit/3), y = t^2 - 6t, where x and y are measured in centimeters. Find how fast temperature is changing for the bug after 2 seconds if the temperature function satisfies Tx(squareroot 3, -8) = 3 and Ty(squareroot 3, -8) = -1. Provide a graph of the bug\'s position during the first 6 seconds.

Solution

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