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2. The temperature at a point in the plane is given by the function T(r, y) = V+ 2y, where the temperature is measured in degrees Celsius and r and y are measured in meters. (a) At what rate is the temperature changing as you move away from the point (1,1) in the direction of the point (4, –3)? Show your work, include units, and circle your final answer. (b) What is the maximum rate at which the temperature can increase as you move away from (1,1)? Show your work, include units, and cirele your final answer.

2. The temperature at a point in the plane is given by the function T(r, y) = V+ 2y, where the temperature is measured in degrees Celsius and r and y are measured in meters. (a) At what rate is the temperature changing as you move away from the point (1,1) in the direction of the point (4, –3)? Show your work, include units, and circle your final answer. (b) What is the maximum rate at which the temperature can increase as you move away from (1,1)? Show your work, include units, and cirele your final answer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. The temperature at a point in the plane is given by the function T(r, y) = V+ 2y, where the temperature is measured in degrees Celsius and r and y are measured in meters. (a) At what rate is the temperature changing as you move away from the point (1,1) in the direction of the point (4, –3)? Show your work, include units, and circle your final answer. (b) What is the maximum rate at which the temperature can increase as you move away from (1,1)? Show your work, include units, and cirele your final answer.
Transcribed Image Text:2. The temperature at a point in the plane is given by the function T(r, y) = V+ 2y, where the temperature is measured in degrees Celsius and r and y are measured in meters. (a) At what rate is the temperature changing as you move away from the point (1,1) in the direction of the point (4, –3)? Show your work, include units, and circle your final answer. (b) What is the maximum rate at which the temperature can increase as you move away from (1,1)? Show your work, include units, and cirele your final answer.
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