1. Find the rate of change of the temperature at the point P = (2, -2, 2) in the direction toward the point Q = (3, -4, 3). Answer: D, f(2, –2, 2) = %3D PQ 2. In what direction does the temperature increase fastest at P? Answer: 3. Find the maximum rate of increase at P. Answer:

1. Find the rate of change of the temperature at the point P = (2, -2, 2) in the direction toward the point Q = (3, -4, 3). Answer: D, f(2, –2, 2) = %3D PQ 2. In what direction does the temperature increase fastest at P? Answer: 3. Find the maximum rate of increase at P. Answer:

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter79: Computing Compound Angles On Cutting And Forming Tools

Section: Chapter Questions

Problem 4A

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Question

100%

The temperature at a point (æ, y, z) is given by
T(x, y, z) = 1300e ª
where T is measured in °C and x, y, and z in meters.

1. Find the rate of change of the temperature at the point P = (2, –2, 2) in the direction toward the point
Q = (3, -4, 3).
Answer: D.
PQ
f(2,-2, 2) =
2. In what direction does the temperature increase fastest at P?
Answer:
3. Find the maximum rate of increase at P.
Answer:

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