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4. (a) The region R is described by the set of points z on an Argand diagram for which
T
{zeC:1≤|z-(4+i)| ≤ 4}~{zeC: ≤arg(z−(4+i) ≤
+i)== }
6
Calculate the area of the region R. Fully justify your answer.
(b) Prove that the point 6+4i lies inside the region R.
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