ts to walk in the direction in which the temperature drops most rapidly. Find a unit vector in that direction.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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b) An ant at (2,2) wants to walk in the direction in which the temperature
drops most rapidly. Find a unit vector in that direction.

Q#2. The temperature (in degrees Celsius) at a point (x, y) on a metal plate in the xy-
5ху
1+x + y .
T(x, y) = -
plane is
[4
Transcribed Image Text:Q#2. The temperature (in degrees Celsius) at a point (x, y) on a metal plate in the xy- 5ху 1+x + y . T(x, y) = - plane is [4
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