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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

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

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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**Problem Statement:** Let the temperature \( T \) in degrees at the point \((x, y, z)\), with distances measured in cm, be \( T(x, y, z) = 5x - 4y + 3z \). Let \( q \) be the real number such that the rate at which the change in temperature at \((1, 0, 3)\) per unit change in the distance traveled in the direction of the vector \(\langle 1, q, 1 \rangle\) is \( 4^\circ/\text{cm} \). Find \( q \). (Note that the "direction" of a vector is always a unit vector "pointing the same way.") **Options:** - ○ none of the other answers - ○ \(-7/40\) - ○ \(17/56\) - ○ \(1/12\) - ○ \(1/2\)
Transcribed Image Text:**Problem Statement:** Let the temperature \( T \) in degrees at the point \((x, y, z)\), with distances measured in cm, be \( T(x, y, z) = 5x - 4y + 3z \). Let \( q \) be the real number such that the rate at which the change in temperature at \((1, 0, 3)\) per unit change in the distance traveled in the direction of the vector \(\langle 1, q, 1 \rangle\) is \( 4^\circ/\text{cm} \). Find \( q \). (Note that the "direction" of a vector is always a unit vector "pointing the same way.") **Options:** - ○ none of the other answers - ○ \(-7/40\) - ○ \(17/56\) - ○ \(1/12\) - ○ \(1/2\)
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