Temperature change along a circle.Suppose that the Celsius temperature at the point (x,y) in the xy-plane is T(x,y)= xsin2y and that distance in the xy-plane is measured in metres.A particle is moving clockwise around the circle of radius 1m centred at the origin at the constant rate of 2m/sec.

a) How fast is the temperature experienced by the particle changing in ⁰C/m at the point P(1/2,3/2) ?

b) How fast is the temperature experienced by the particle changing in ⁰C/sec at P ?