Question

If (u,v,w) are functionally dependent function of three independent variables (x,y,z) then |J|=------​

Answer 1

SOLUTION

TO DETERMINE

If u,v,w are functionally dependent function of three independent variables x,y,z then J =

EVALUATION

Here it is given that u,v,w are functionally dependent function of three independent variables x,y,z

Then their Jacobian is denoted by J and defined as

$J = \displaystyle\begin{vmatrix} \frac{ \partial u}{ \partial x} & \frac{ \partial u}{ \partial y} & \frac{ \partial u}{ \partial z}\\ \frac{ \partial v}{ \partial x} & \frac{ \partial v}{ \partial y} & \frac{ \partial v}{ \partial z} \\ \frac{ \partial w}{ \partial x} & \frac{ \partial w}{ \partial y} & \frac{ \partial w}{ \partial z} \end{vmatrix}$

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