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(5-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 = 4. (Use decimal notation. Give your answer to two decimal places.)
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(5-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 = 4. (Use decimal notation. Give your answer to two decimal places.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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(5 - 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 = 4.
(Use decimal notation. Give your answer to two decimal places.)
dD
dt
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