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Question 14 Let T(x, y) represents the temperature at a point (x, y) measured in degrees Celsius. A bug is crawling on the plane such that its position after t seconds is given by x = √1+t₁y = 2 + t where x and y are measured in centimeters. Given that the derivative of the temperature function at the point (3, 4) is T (3,4)= 3 and T, (3, 4) = 2. how fast is the rate of change of temperature with respect to the direction the ant is crawling, 8 seconds after it started crawling? O 17 5 O O 12 √13 01 5 pts

Question 14 Let T(x, y) represents the temperature at a point (x, y) measured in degrees Celsius. A bug is crawling on the plane such that its position after t seconds is given by x = √1+t₁y = 2 + t where x and y are measured in centimeters. Given that the derivative of the temperature function at the point (3, 4) is T (3,4)= 3 and T, (3, 4) = 2. how fast is the rate of change of temperature with respect to the direction the ant is crawling, 8 seconds after it started crawling? O 17 5 O O 12 √13 01 5 pts

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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Question 14 Let T (x, y) represents the temperature at a point (x, y) measured in degrees Celsius. A bug is crawling on the plane such that its position after t seconds is given by x = √1+t₁y = 2 + t where x and y are measured in centimeters. Given that the derivative of the temperature function at the point (3, 4) is T (3,4)= 3 and T, (3, 4) = 2. how fast is the rate of change of temperature with respect to the direction the ant is crawling, 8 seconds after it started crawling? O 17 5 O O 12 √13 5 pts
Transcribed Image Text:Question 14 Let T (x, y) represents the temperature at a point (x, y) measured in degrees Celsius. A bug is crawling on the plane such that its position after t seconds is given by x = √1+t₁y = 2 + t where x and y are measured in centimeters. Given that the derivative of the temperature function at the point (3, 4) is T (3,4)= 3 and T, (3, 4) = 2. how fast is the rate of change of temperature with respect to the direction the ant is crawling, 8 seconds after it started crawling? O 17 5 O O 12 √13 5 pts
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