A plane is heated in an uneven fashion. The coordinates (23,9!) of the points on this plane are measured in centimeters and the temperature T (any) at the point (say) is measured in degrees Celsius. An insect walks on this plane and its position after t seconds is given by 3;: +tety:2+t. Given that the temperature on the plane satises Tia; (4,5) : 2 and Try (4,5): 2 , what is the rate of growth of the temperature along the insects trajectory at time t = 3 ? dT _ ' dt Give the exact answer. 'n . cm/s