The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its position after t seconds is given by the following function, where x and y are measured in centimeters. 1 = V5+t,y = 1+ x = t 20 The temperature function satisfies T(5, 2) = 4 and Ty(5, 2) = 5. How fast is the temperature rising on the bug's path after 20 seconds?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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We know that the rate of change of the temperature is given by
dt
dT
ƏT dx
ÔT dy.
+
дх dt
ây dt
1
1
dx
V5 + t and y = 1 + t, we have
dt
dy
1
Using x =
and
20
dt
II
Transcribed Image Text:We know that the rate of change of the temperature is given by dt dT ƏT dx ÔT dy. + дх dt ây dt 1 1 dx V5 + t and y = 1 + t, we have dt dy 1 Using x = and 20 dt II
The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its position
after t seconds is given by the following function, where x and y are measured in centimeters.
1
x = V5 + t, y = 1+
20
The temperature function satisfies Tx(5, 2) = 4 and Ty(5, 2) = 5. How fast is the temperature rising on the
bug's path after 20 seconds?
Transcribed Image Text:The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its position after t seconds is given by the following function, where x and y are measured in centimeters. 1 x = V5 + t, y = 1+ 20 The temperature function satisfies Tx(5, 2) = 4 and Ty(5, 2) = 5. How fast is the temperature rising on the bug's path after 20 seconds?
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