Two spacecraft are following paths in space given by r₁ = (sin(t), t, 1²) and r₂ = (cos(t), 1 – 1, 1³). If the temperature for the points is given by T(x, y, z) = x²y(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 = 2. (Use decimal notation. Give your answer to two decimal places.) dD dt 11

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 44E
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Two spacecraft are following paths in space given by r₁ = (sin(t), t, 1²) and r₂ = (cos(t), 1 – t,t³). If the temperature for the
points is given by T(x, y, z) = x²y(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 = 2.
(Use decimal notation. Give your answer to two decimal places.)
dD
dt
=
Transcribed Image Text:Two spacecraft are following paths in space given by r₁ = (sin(t), t, 1²) and r₂ = (cos(t), 1 – t,t³). If the temperature for the points is given by T(x, y, z) = x²y(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 = 2. (Use decimal notation. Give your answer to two decimal places.) dD dt =
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,