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
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
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5d6d0d01-f260-472d-b057-76460f67d68e%2F8e5ee137-8512-4f62-ab82-25187e6b2709%2Fa3t55vf_processed.png&w=3840&q=75)
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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