Question: 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)=(x^2) *y*(7-z),
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)=(x^2) *y*(7-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=3. (Use decimal notation. Give your answer to two decimal places.)
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