Two spacecraft are following paths in space given by r = (sin(r), 1.12) and r2 = (cos(t), 1 – 1,1). 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 %3D temperatures the two spacecraft experience at time t = 4. (Use decimal notation. Give your answer to two decimal places.) dD dt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Two spacecraft are following paths in space given by r =
(sin(t).1.r) and r2 = (cos(t), 1 – 1,1). If the temperature for the
points is given by T(x, y, z) = xy(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
Transcribed Image Text:Two spacecraft are following paths in space given by r = (sin(t).1.r) and r2 = (cos(t), 1 – 1,1). If the temperature for the points is given by T(x, y, z) = xy(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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