Q6. (a) i. Determine the bilinear transformation that maps the points 1 – 2i, 2 + i 2 + 3i respectively into 2 + 2i, 1+ 3i, 4. 1-i ii. Evaluate f 4z dz . 3i ez (b) Evaluate J. dz, where C: |z| = 3....

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Q6. (a) i. Determine the bilinear transformation that maps the points 1 – 2i, 2 + i<br>2 + 3i respectively into 2 + 2i, 1+ 3i, 4.<br>1-i<br>ii. Evaluate f 4z dz .<br>3i<br>ez<br>(b) Evaluate J.<br>dz, where C: |z| = 3.<br>(z-1)(z-2)2<br>

Extracted text: Q6. (a) i. Determine the bilinear transformation that maps the points 1 – 2i, 2 + i 2 + 3i respectively into 2 + 2i, 1+ 3i, 4. 1-i ii. Evaluate f 4z dz . 3i ez (b) Evaluate J. dz, where C: |z| = 3. (z-1)(z-2)2

Jun 04, 2022

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Q6. (a) i. Determine the bilinear transformation that maps the points 1 – 2i, 2 + i 2 + 3i respectively into 2 + 2i, 1+ 3i, 4. 1-i ii. Evaluate f 4z dz . 3i ez (b) Evaluate J. dz, where C: |z| = 3....

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