Two spacecraft are following paths in space given by r1=〈sin⁡(t), t, t2〉 and r2=〈cos⁡(t), 1−t, t3〉. If the temperature for the points is given by T(x, y, z)=x2y(9−z), use the Chain Rule to determine the rate of change of the difference D in the temperatures the two spacecraft experience at time t=2.
(Use decimal notation. Give your answer to two decimal places.)