6. Note that in cartesian coordinates, the Cauchy-Riemann equations are dv du and dv...

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6. Note that in cartesian coordinates, the Cauchy-Riemann equations are ди dv du and ду dv %3D where u = u(r, y) and v = v(r, y). Let r = r cos 0 and y = r sin 0. Show that the Cauchy-Riemann equations take the form 1dv 1 ди and r d0 r d0 du dv -(15pt) %3D 6. Note that in cartesian coordinates, the Cauchy-Riemann equations are ди dv du and ду dv %3D where u = u(r, y) and v = v(r, y). Let r = r cos 0 and y = r sin 0. Show that the Cauchy-Riemann equations take the form 1dv 1 ди and r d0 r d0 du dv -(15pt) %3D