3. Compute each of the following integrals cosh z dz where C is the circle |2| = 2 2 In 2 – z sin 2z P. (6z – 7)3 dz where C is the circle |2|= 3

Q: JO 18.9. Let y denote the boundary of the rectangle whose vertices are -2 – 2i, 2 – 2i, 2+ i and…

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Q: Calculate each integral, assuming all circles are positively oriented: dz, where y is the line…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: ²²-i)² dx 2³+dz when the contour C is the circle |z − 21 = 5 +4 1 Z- COSZ Cosz, dz when the contour…

A: According to the guidelines only three subparts should be answered. Therefore to answer the rest of…

Q: Let C denote the circle |z| = 4. Use residues to evaluate the following integral. iz +1 (z + 3)(z −…

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Q: (a) Evaluate the complex integral ſc dz , where C is a circle |Z| = 2 2z+3

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Q: Calculate the area of the circle r = 3 sin θ bounded by the rays θ = π/3 and θ = 2π/3.

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Q: -dz Q5/ (A) Find the value of the integral 3 where C is the circle z+2 = z(z+1)"*1

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Q: Use Green's Theorem to evaluate the integral (x² - y)dax + 3xdy where C is the circle x² + y² = 1…

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Q: | Let C be the quarter circle centered at (2,0) that goes from (1,0) to (2, 1). Evaluate the…

A: ∫c y2xdx + 4yxdy=? We know that this form of integral is solved by Green theorem: ∮cP dx+Q…

Q: c) Evaluate the line integral (x+2y)dx -2xdy along the following closed path, the circle x+ y= 25,…

A: In parametric form,

Q: M2. Let C be the positively oriented circle |z1|-2 in the complex plane. Which of the following is…

A: Given C is the positively oriented circle  in the complex plane. We need to find the value of line…

Q: Let F(x, y) = = 8Q A. Compute dz -yi+zj z² + y² ар B. Compute By and let C be the circle r(t) =…

A: Given function:- Fx,y=-yi+xjx2+y2 and C be the circle rt=costi+sintj

Q: Let F(x, y) == and let C be the circle r (t) = (cost)i + (sint)j, 0 ≤ t≤ 2π. A. Compute მი Note:…

A: Step 1: Step 2: Step 3: Step 4:

Q: z+3 ii) Use Cauchy's integral formula (II) to evaluate §. dz, c _ z5+2z* where c is the circle |z| =…

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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…

A: Given ∫ez2z−3z−42dzWe know the formula ∫fzz−an=2πin−1!fn−1aWhere 'a' is pole of order nGiven region…

Q: dz 5. Evaluate the integral where C is the circle (a) |z| = 1, (b) |z+3| = 2, (c) |z – 3| = 2. 23(z…

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Q: 3. Evaluate the integral cosh ™z dz, z(z? + 1) Izl=2 where the circle |z| = 2 is described in the…

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Q: Evaluate [F.dr, where C is the circle x² + y² = 4 oriented counterclockwise and F = (y,-x). Set up…

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Q: 6. Find the integral fr around the circumference of the circle - 2x + y² = 2 2:² X F.dR

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Q: 2z-3 3. Jc 3-372+4 dz, where C is the circle |z| = %3D counterclockwise.

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Q: Evaluate the line integral ſc(4y+ tan? x)dx + (6x – evsin´y)dy over curve C that is the circle x2 +…

A: Green's theorem problem....

Q: round the circle z| =

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Q: 3 1 4 1 | |(2x – 4y)dydx (2х — |x²ydxdy 3. 4. - 1 2 0 2π π |(sinx + cosy)dxdy 5.

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Q: cos z dz ar gral f

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Q: Evaluate F dr where C is the line segment from (7,-,1) to (20, 1, and F (sin(yz) + 1)i + (zz cos(yz)…

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