Show that the function where z = x + jy and w = u + jv, maps
Question:
Show that the function
where z = x + jy and w = u + jv, maps the circle |z| = 3 on the z plane onto a circle in the w plane. Find the centre and radius of this circle in the w plane and indicate, by means of shading on a sketch, the region in the w plane that corresponds to the interior of the circle |z|= 3 in the z plane.
Transcribed Image Text:
W w= z-1 z +1
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Since z 0 w 1 the interval of the circle z 3 maps ...View the full answer
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