Regarding u and v as functions of x and y and defined by the equations x =

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Regarding u and v as functions of x and y and defined by the equations x = eucos v, y = eusin v show that

(a)     = cos'v= dz Jz (b) +  2 -2u     z  Jz 2

where z is a twice-differentiable function of u and v.

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