leslylopez5323 leslylopez5323

25-10-2017
Mathematics

contestada

Find the absolute value of the jacobian, ∣∣∂(x,y)∂(s,t)∣∣, for the change of variables given by x=s+5t,y=3s+8t

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LammettHash LammettHash

26-10-2017

[tex]\left\|\dfrac{\partial(x,y)}{\partial(s,t)}\right\|=\left|\begin{vmatrix}\dfrac{\partial x}{\partial s}&\dfrac{\partial x}{\partial t}\\\\\dfrac{\partial y}{\partial s}&\dfrac{\partial y}{\partial t}\end{vmatrix}\right|=\left|\begin{vmatrix}1&5\\3&8\end{vmatrix}\right|=|-7|=7[/tex]

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