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 = V1+t, y = 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 Т, (3, 4) 3 2, %3D 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 O1 O 17 12 V13 o o o
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 = V1+t, y = 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 Т, (3, 4) 3 2, %3D 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 O1 O 17 12 V13 o o o
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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Transcribed Image Text:Question 10
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 = V1+t, y
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
O 1
O 17
O 12
V13
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