글 36- +| de. 1 4 dz, (z+3i)³ ] Evaluate - z+3i where C is the circle |z+ 3i| = 6 + 4, 0 < 0 < 2ñ .

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A: The general equation of the circle is: (x-a)2 + (y-b)2 = r2 where (a,b) is the center and r is the…

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Q: 6. Given a rule x² + y² = 9, its image rule x? + y² – 2x + 6y +1 = 0 under a translation, state a…

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Q: 4. Let C be the circle |z| = 3 traversed once in the positive sense 2z-17 (counter clockwise).…

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Q: 6. Given a rule x2 + y2 = 9, its image rule x2 + y2 – 2x + 6y + 1 = 0 under a translation, state a…

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Q: 4. Let C denote the circle |z – 2i| = 1, taken in the usual counterclockwise orientation. Compute by…

A: Given: Let C  denote the circle z-2i=1 z-2i=1x+iy-2i=1x+iy-2=1 So, Centre of circle will be 0,2 and…

Q: 4. Let C be the circle |z| = 2 traversed once in the positive sense (counter clockwise). Compute :…

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Q: 6. Given a rule x² + y? = 9, its image rule x² + y² – 2x + 6y + 1 = 0 under a translation, state a…

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Q: Re(z) dz, where C is the right half circle |2| = 3, from z 2² – 2i (Ъ) -3i to z = 3i.

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A: See the details solution in below

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Q: 4. Let C be the circle |z| = 2 traversed once in the positive sense cos 3z (counter clockwise).…

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Q: Use Cauchy's Integral Theorem to evaluate fr 12z-3(2-42 dz where I' is the circle |z| = 2 described…

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Q: b) Let C be the circle |z| = 4 traversed once in the positive sense (counter clockwise). Compute : P…

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Q: 6. In the accompanying diagram, PQ is tangent to circle O at Q and PRT is a secant. If mZP - 56 and…

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Q: 2 10 급fe| 310 dwhere C is the circle |z+ 3i| = 10 + 2, 0 < 0< 2n Evaluate z+3i (z+3i)

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Q: 8- of What is the value of (z + e22) dz, where C is the positiv C oriented circle |z - 1= 1 in the…

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: 9. Determine the image of the circle z +- 2 P 1 2 3i under w(z) ==+l+i. Z

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: Let CR denote the upper half of the circle |2| = R for some R> 1. Show that eiz 1 22 + z+1 (R – 1)2…

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Q: Calculate 8-7 dz, z(4- z) where C is the circle of radius 7, centre 0, negatively oriented.

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Q: 4. Let C be the circle |z| = 2 traversed once in the positive sense (counter clockwise). Compute : .…

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