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

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Chapter2: Second-order Linear Odes
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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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