(sin(t), t, 1²) and rɔ = (cos(t), 1 – 1, t). If the temperature for the Two spacecraft are following paths in space given by r1 = 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
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Two spacecraft are following paths in space given by r, = (sin(t), 1, 1?) and r, =
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
(cos(t), 1 – t, t). If the temperature for the
temperatures the two spacecraft experience at time t = 4.
(Use decimal notation. Give your answer to two decimal places.)
dD
%D
dt
Transcribed Image Text:Two spacecraft are following paths in space given by r, = (sin(t), 1, 1?) and r, = 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 (cos(t), 1 – t, t). If the temperature for the temperatures the two spacecraft experience at time t = 4. (Use decimal notation. Give your answer to two decimal places.) dD %D dt
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