Thursday, September 22, 2011

Parametric Equations and the Chain Rule. (Multivariable Calculus)?

Does anyone know how to solve the following problem? I am stuck. The problem hints to use the Chain Rule. I'm not sure how though. The problem reads:



%26quot;A bug is at location: x(t) = t^2 + 3t ?2 and y(t) = t^3 + 2 at time t minutes. What is the rate of change of the bug檚 temperature when it goes through the location (2,3)?

(include units) (think chain rule)%26quot;Parametric Equations and the Chain Rule. (Multivariable Calculus)?
let P mean partial...dT/dt = PT/dx dx/dt +Pt/dy dy/dt

= [ 2x y 虏 + y3 +5] {2t+3} + [ 2y x虏 + 3 x y 虏] { 3 t 虏}, evaluate at t= 1...you can do thatParametric Equations and the Chain Rule. (Multivariable Calculus)?
Don't you want to describe to us the temerature field?

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