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Two spacecraft are following paths in space given by r1=〈sin(t),t,t2〉r1=〈sin⁡(t),t,t2〉 and r2=〈cos(t),1−t,t3〉.r2=〈cos⁡(t),1−t,t3〉. If the temperature for the points...

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Basic Math

Two spacecraft are following paths in space given byr1=〈sin(t),t,t2〉r1=〈sin⁡(t),t,t2〉 andr2=〈cos(t),1−t,t3〉.r2=〈cos⁡(t),1−t,t3〉. If the temperature for thepoints is given by T(x,y,z)=x2y(6−z),T(x,y,z)=x2y(6−z), use theChain Rule to determine the rate of change of the difference DD inthe temperatures the two spacecraft experience at time t=2.t=2.

(Use decimal notation. Give your answer to two decimalplaces.)

dDdt=dDdt=

Answer & Explanation Solved by verified expert
4.1 Ratings (847 Votes)
The rate of change in the temperature is given    See Answer
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