Vector Calculus

Tulip007

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Apr 2, 2008
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A bead moves along a circular wire of radius a in a region where the temperature T (x,y) is given by the formula
T (x,y) = x^2 - 3y^2
Find the rate of change of temperature dT/ds where s is distance travelled along the wire, at any point (x,y).

There is no diagram to go by, that is the whole question. I just need help on how to start to work out this problem please.
 
Tulip007 said:
A bead moves along a circular wire of radius a in a region where the temperature T (x,y) is given by the formula
T (x,y) = x^2 - 3y^2
Find the rate of change of temperature dT/ds where s is distance travelled along the wire, at any point (x,y).

There is no diagram to go by, that is the whole question. I just need help on how to start to work out this problem please.
Hint:

dT/ds = dT/dx * dx/ds + dT/dy * dy/ds

and

ds^2 = dx^2 + dy^2
 
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