Problem #6: The temperature at a point (x, y, z) is given by T(x, y, z) = 10e-3x²-y²-2z². In which direction does the temperature increase fastest at the point (1,2,2)? Express your answer as a UNIT vector.
Problem #6: The temperature at a point (x, y, z) is given by T(x, y, z) = 10e-3x²-y²-2z². In which direction does the temperature increase fastest at the point (1,2,2)? Express your answer as a UNIT vector.
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 6E: For the line l:x,y,z=5,3,-2+n1,2,-2, find a a point of the line. b a direction vector for the line.
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