Suppose that the temperature in a given region is given by T(x,y)=200xy(1-x2-2y2). Suppose that you and your friend are at (1,1) . Suppose further that your friend is running along the x- driection initially and his speed is 3 meters per second. At what speed in meters per second must you move in the y- direction so that your friend's rate of change of temperature is the same as yours?
Suppose that the temperature in a given region is given by T(x,y)=200xy(1-x2-2y2). Suppose that you and your friend are at (1,1) . Suppose further that your friend is running along the x- driection initially and his speed is 3 meters per second. At what speed in meters per second must you move in the y- direction so that your friend's rate of change of temperature is the same as yours?
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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Transcribed Image Text:Suppose that the temperature in a given region is
given by T(x,y)=200xy(1-x2-2y2). Suppose that you
and your friend are at (1,1) . Suppose further that
your friend is running along the x- driection initially
and his speed is 3 meters per second. At what speed
in meters per second must you move in the y-
direction so that your friend's rate of change of
temperature is the same as yours?
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