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 = sqrt(7+t), y=4+(1/2)t , where x and y are measured in centimeters. The temperature function satisfies Tx(3, 5) =9 and Ty(3, 5) = 8.How fast is the temperature rising on the bug's path after 2 seconds? (Round your answer to two decimal places.)
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 = sqrt(7+t), y=4+(1/2)t , where x and y are measured in centimeters. The temperature function satisfies Tx(3, 5) =9 and Ty(3, 5) = 8.How fast is the temperature rising on the bug's path after 2 seconds? (Round your answer to two decimal places.)
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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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 = sqrt(7+t), y=4+(1/2)t , where x and y are measured in centimeters. The temperature function satisfies Tx(3, 5) =9 and Ty(3, 5) = 8.How fast is the temperature rising on the bug's path after 2 seconds? (Round your answer to two decimal places.)
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