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

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.2: Partial Derivatives

Problem 48E

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