In each of the following cases, define a parametrised curve y : [a, b] → C whose image y* is: (a) The closed semi-circle of radius R in the right half-plane. (b) The equilateral triangle with vertices...

In each of the following cases, define a parametrised curve y : [a, b] → C whose image<br>y* is:<br>(a) The closed semi-circle of radius R in the right half-plane.<br>(b) The equilateral triangle with vertices 1,–1, iv3.<br>(c) The two circles {z € C; |z – 1| = 1}U{z € C; |z+ 1| = 1}.<br>Which of these are contours? Justify your answers.<br>

Extracted text: In each of the following cases, define a parametrised curve y : [a, b] → C whose image y* is: (a) The closed semi-circle of radius R in the right half-plane. (b) The equilateral triangle with vertices 1,–1, iv3. (c) The two circles {z € C; |z – 1| = 1}U{z € C; |z+ 1| = 1}. Which of these are contours? Justify your answers.

Jun 04, 2022

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In each of the following cases, define a parametrised curve y : [a, b] → C whose image y* is: (a) The closed semi-circle of radius R in the right half-plane. (b) The equilateral triangle with vertices...

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