The temperature on a cubic box [0, 4] × [0, 4] × [0, 4] (measured in meters) can be described by the function T (x, y, z) = x2y + y2z degrees F◦. A fly is in position (1, 2, 1) and takes off in a straight line to the corner (4, 0, 4). Use directional derivatives to calculate the change in temperature the fly experiences as she takes off. Give your answer with 2 decimal digits correct.
The temperature on a cubic box [0, 4] × [0, 4] × [0, 4] (measured in meters) can be described by the function T (x, y, z) = x2y + y2z degrees F◦. A fly is in position (1, 2, 1) and takes off in a straight line to the corner (4, 0, 4). Use directional derivatives to calculate the change in temperature the fly experiences as she takes off. Give your answer with 2 decimal digits correct.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The temperature on a cubic box [0, 4] × [0, 4] × [0, 4] (measured in meters) can be described
by the function T (x, y, z) = x2y + y2z degrees F◦. A fly is in position (1, 2, 1) and takes
off in a straight line to the corner (4, 0, 4). Use directional derivatives to calculate the change
in temperature the fly experiences as she takes off. Give your answer with 2 decimal digits
correct.
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