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: dz The value of integral where C is a circle |z-2= 1 z2 - 2z

A: Introduction :

Q: 4. Use Green's Theorem to evaluate x²y dx - y²x dy ,where C is the boundary of the region in the…

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Q: The region inside the circle r = /2 sin 0 and inside the lemniscate r? = sin 20. Which of the…

A: here option (a) is true because on doing simplifying we get r=2sin^2theeta and limit will be o to…

Q: X= 6 The area enclosed by the curves Y= and y= 2x from x= 1 to x= e is 2) e +1 O 3) +1 O 4) 2-2

A: Given query is to find the area enclosed by the curves.

Q: Advanced Math Question

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Q: pts) Evaluate the following contour integrals: (2² + 1) dz, C' is the curve connecting 1 to -i

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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: dz The value of the integral Jc 22+9 where c is the circle z - 3i| = 4 is %3D

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Q: Perform the line integral f, dī × V with V = Voêg and where C is the contour shown below y 1 C -1 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: (A) Find the Area :r= a (1+ Cos e)

A: It is given that

Q: g. The region bounded by: y =Vx, y32 and x=0 about y32. h. The region bounded by: y = x, y=2 and x-0…

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

Q: 16. Evaluate the integral:23 sin x dx.

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

Q: dz wher the integral fe z2 +9 C = 4 is

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Q: late the followin integrals: a) ²² - i)² dx z³+4 b) § 22 +4 dz when the contour C is the circle |z -…

A: We use here Residue theorem to find the complex integral

Q: The value of integral .dz is (z – 1)?

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Q: Evaluate this integral Sc v – 2x)dy – (yx – x²)dx where C is a curve consisting of C, which is a…

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Q: dz 2) Evaluate the line integral where c is a unit circle (1–z)3’

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Q: O (x² – y²) dx + x dy where is the circle x + y² = 9.

A: Green's theorem states that ∮CM dx+N dy=∬R∂M∂y-∂M∂ydx dy Here M=x2-y2 and N=x Hence the integral…

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: 3z3 + 2 dz =? Y (z – 1)(z² + 9) |z – 2| = 2 7.

A: We have to calculate the contour integral ∮3z2+2z−1z2+9dz, where circle is given by z−2=2. First…

Q: polar form to find the area

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Q: ots) Evaluate the following contour integrals: Sc (z² – z + 2) dz, C is quarter circle connecting i…

A: Given  ∫(z2-z+2)dz, C is a quarter circle connecting i to 1C∮(z2+z)(z-3i)2, C:|z|=5C

Q: Evaluate the line integral [7xy² ds, where C is the right half of the circle x² + y² = 25.

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