If the temperature at the point (x, y, z) is given by T (x, y, 2) = 70 + Se(x² +y}, find the direction from the point (-1, 1, 5) in which the temperature decreases most rapidly. OA. (-54e, - 78e", -74e“) OB. (-160*,8e", 40*) Oc. (54e*, 78e*, 74e*) OD. (16e*, -8e*, -4e)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If the temperature at the point (x, y, z) is given by T (x, y, z) = 70 + Se (x² +y), find the direction
from the point (-1, 1, 5) in which the temperature decreases most rapidly.
-2
OA. (-540, - 78e*,-74e*)
OB. (-16e*, 8e*, 4e*)
Oc. (54e*, 78e*, 74e*)
OD. (16e*, -8e*, - 4e*)
Transcribed Image Text:If the temperature at the point (x, y, z) is given by T (x, y, z) = 70 + Se (x² +y), find the direction from the point (-1, 1, 5) in which the temperature decreases most rapidly. -2 OA. (-540, - 78e*,-74e*) OB. (-16e*, 8e*, 4e*) Oc. (54e*, 78e*, 74e*) OD. (16e*, -8e*, - 4e*)
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