A happy heat-loving bug is wandering on a hot plate. The temperature at any point on the plate is given by T(z, y) = 220e (**/4)-(/5) If the bug is at the point P = (-2,1) and moving towards the point Q = (-3,2), what is the rate of change in the temperature in the direction of its motion? -308e In what direction should the bug move from P for the temperature to increase the fastest? (Give your answer as a unit vector.) What is the magnitude of the rate of change of temperature in that direction?

A happy heat-loving bug is wandering on a hot plate. The temperature at any point on the plate is given by T(z, y) = 220e (**/4)-(/5) If the bug is at the point P = (-2,1) and moving towards the point Q = (-3,2), what is the rate of change in the temperature in the direction of its motion? -308e In what direction should the bug move from P for the temperature to increase the fastest? (Give your answer as a unit vector.) What is the magnitude of the rate of change of temperature in that direction?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Math 215 Homework homework5, Problem 3
A happy heat-loving bug is wandering on a hot plate. The temperature at any point on the plate is
given by
T(x, y) = 220e (*" /4) (v°/5)
If the bug is at the point P = (-2,1) and moving towards the point Q = (-3, 2), what is the
rate of change in the temperature in the direction of its motion?
-308e
In what direction should the bug move from P for the temperature to increase the fastest? (Give
your answer as a unit vector.)
What is the magnitude of the rate of change of temperature in that direction?

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