Question: Sketch the effect of the complex transformation w = z45 = elog( -)/s on vertical and horizontal straight lines in the z-plane. That is,

Sketch the effect of the complex transformation w = z45 = elog(

Sketch the effect of the complex transformation w = z45 = elog( -)/s on vertical and horizontal straight lines in the z-plane. That is, plot on the w-plane the images under w of the vertical lines z = a+it (for -5Sts5) with a =-4,-3,-2,-1,0,1,2,3 and 4, and the images under w of the horizontal lines z=1+ib (for -5st55) with b=-4,-3,-2,-1,0,1,2,3 and 4.

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