Two spacecraft are following paths in space given by r = (sin(t), t, t) and r2 = (cos(t), 1- t,1). If the temperature for the points is given by T(x, y, z) = x²y(9 – 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 Incorrect

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Two spacecraft are following paths in space given by r, = (sin(t), t, t) and r2 = (cos(t), 1 - t,t). If the temperature for the
points is given by T(x, y, z) = x²y(9 – 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
Incorrect
Transcribed Image Text:Two spacecraft are following paths in space given by r, = (sin(t), t, t) and r2 = (cos(t), 1 - t,t). If the temperature for the points is given by T(x, y, z) = x²y(9 – 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 Incorrect
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