the function T gives the temperature distribution with the expres: 5z ection and magnitude of maximum increase of the temperature a 6). it vector normal to the surface S=x+y-z at point (1,3,0). ectional derivative of T at point (-4, 5, 6) along the direction of u or of S at point (1,3,0). II !!

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Q. Suppose that the function T gives the temperature distribution with the expression;
T = 2x²y-5z
a) Find the direction and magnitude of maximum increase of the temperature at
point (-4, 5, 6).
b) Find the unit vector normal to the surface S = x + y-
c) Find the directional derivative of T at point (-4, 5, 6) along the direction of unit
normal vector of S at point (1,3,0).
-z at point (1,3,0).
A-
BI
Transcribed Image Text:Q. Suppose that the function T gives the temperature distribution with the expression; T = 2x²y-5z a) Find the direction and magnitude of maximum increase of the temperature at point (-4, 5, 6). b) Find the unit vector normal to the surface S = x + y- c) Find the directional derivative of T at point (-4, 5, 6) along the direction of unit normal vector of S at point (1,3,0). -z at point (1,3,0). A- BI
Q. Suppose that the function T gives the temperature distribution with the expression;
T =x'y+z*xy+yz
a) Find the direction and magnitude of maximum increase of the temperature at
point (1, 2, 1).
b) Find the unit vector normal to the surface S = xyz at point (1.-1,3).
c) Find the directional derivative of T at point (1, 2. 1) along the direction of unit
normal vector of S at point (1,-1,3).
I
II
Transcribed Image Text:Q. Suppose that the function T gives the temperature distribution with the expression; T =x'y+z*xy+yz a) Find the direction and magnitude of maximum increase of the temperature at point (1, 2, 1). b) Find the unit vector normal to the surface S = xyz at point (1.-1,3). c) Find the directional derivative of T at point (1, 2. 1) along the direction of unit normal vector of S at point (1,-1,3). I II
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