Let the temperature / in degrees at the point X,y,z), with distances measured in cm, be T(X,y,z)=5x – 4y+3z Let 9 be the real number such that the rate at which the change in temperature at (1,0,3) per unit change in the distance travelled in the direction of the vector (1,q,1) is 4 /cm. Find. (Note that the "direction" of a vector is always a unit vector "pointing the same way.") none of the other answers -7/40 17/56 1/12 1/2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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Let the temperature
in degrees at the point (X,y,z), with distances measured in cm, be T(X,y,z)=5x – 4y +3z. Let 9 be the real number
such that the rate at which the change in temperature at (1,0,3) per unit change in the distance travelled in the direction of the vector
(1,q,1>
is
4 /cm. Find . (Note that the "direction" of a vector is always a unit vector "pointing the same way.")
none of the other answers
-7/40
17/56
1/12
1/2
Transcribed Image Text:Let the temperature in degrees at the point (X,y,z), with distances measured in cm, be T(X,y,z)=5x – 4y +3z. Let 9 be the real number such that the rate at which the change in temperature at (1,0,3) per unit change in the distance travelled in the direction of the vector (1,q,1> is 4 /cm. Find . (Note that the "direction" of a vector is always a unit vector "pointing the same way.") none of the other answers -7/40 17/56 1/12 1/2
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