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Let the temperature T in degrees at the point (x,y,z), with distances measured in cm, be T(x,y,z)=3x – 4y +3z. Let q be the real numbe such that the rate at which the change in temperature at (-2,0,3) per unit change in the distance travelled in the direction of the vector (1,q,1> is 4°/cm. Find q. (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

Let the temperature T in degrees at the point (x,y,z), with distances measured in cm, be T(x,y,z)=3x – 4y +3z. Let q be the real numbe such that the rate at which the change in temperature at (-2,0,3) per unit change in the distance travelled in the direction of the vector (1,q,1> is 4°/cm. Find q. (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

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Let the temperature T in degrees at the point (x,y,z), with distances measured in cm, be T(x,y,z)=3x – 4y+3z. Let q be the real numbe such that the rate at which the change in temperature at (-2,0,3) per unit change in the distance travelled in the direction of the vector (1,q,1> is 4°/cm. Find q. (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 T in degrees at the point (x,y,z), with distances measured in cm, be T(x,y,z)=3x – 4y+3z. Let q be the real numbe such that the rate at which the change in temperature at (-2,0,3) per unit change in the distance travelled in the direction of the vector (1,q,1> is 4°/cm. Find q. (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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