(10) Suppose the temperature of a metal plate is given by f (r, y) = the temperature of the metal plate in°C at position (r, y), measured in cm Suppose that Vf (3, 4) = -2i +3j An ant walks along the plate with a position vector at time t (s) given by F(t) = (P + 2) i+ 4tj Find the rate at which the temperature the ant is experiencing is changing at t = 1. Include units in your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(10) Suppose the temperature of a metal plate is given by
f (r, y) = the temperature of the metal plate in°C at position (r, y), measured in cm
Suppose that
Vf (3, 4) = -2i +3j
An ant walks along the plate with a position vector at time t (s) given by
F(t) = ( + 2) i+ 4tj
Find the rate at which the temperature the ant is experiencing is changing at t = 1. Include units
in your answer.
Transcribed Image Text:(10) Suppose the temperature of a metal plate is given by f (r, y) = the temperature of the metal plate in°C at position (r, y), measured in cm Suppose that Vf (3, 4) = -2i +3j An ant walks along the plate with a position vector at time t (s) given by F(t) = ( + 2) i+ 4tj Find the rate at which the temperature the ant is experiencing is changing at t = 1. Include units in your answer.
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