Question: The temperature function T(x, y) is defined on R2 by T(x, y) = xsin(2y) where T is measured in degrees Celsius and x, y are

The temperature function T(x, y) is defined on R2 by T(x,

The temperature function T(x, y) is defined on R2 by T(x, y) = xsin(2y) where T is measured in degrees Celsius and x, y are measured in centimetres. An insect is moving clockwise around the circle of radius 1 cm centred at the origin at a speed of 2 cm/sec. How fast is the temperature (experienced by the insect) changing in degrees Celsius per second at the point P(2, 2 )? [Hint: The unit (velocity) vector of the insect at P is u = (V3 2 , - -). Find 2D,T at P.]

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