Find how fast temperature is changing for the bug

Reference no: EM131005306

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 = t sin(πt/3). y = t² - 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 T_z(√3, -8) = 3 and T_y(√3, -8) = -1. Provide a graph of the bug's position during the first 6 seconds.

Reference no: EM131005306

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