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 x = (2+t)1/2, y = 7 + 1/2t, where x and y are measured in centimeters. The temperature function satisfies Tx(2,8) = 5 and Ty(2,8) = 2. How fast is the temperature rising on the bug's path after 2 seconds?
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 x = (2+t)1/2, y = 7 + 1/2t, where x and y are measured in centimeters. The temperature function satisfies Tx(2,8) = 5 and Ty(2,8) = 2. How fast is the temperature rising on the bug's path after 2 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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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 x = (2+t)1/2, y = 7 + 1/2t, where x and y are measured in centimeters. The temperature function satisfies Tx(2,8) = 5 and Ty(2,8) = 2. How fast is the temperature rising on the bug's path after 2 seconds?
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