sin(z) Evaluate the integral Tz+1)(2² + 2) dz where C is the circle |z – 2i| = 1.

Q: (a) Let f(2) = (z +4-i) (z+ + 5z³) Using CRT, evaluate the integral f(z (2)dz, where the contour Cis…

A: According to our company policy, we are supposed to answer only one question at a time. For the rest…

Q: $ Evaluate clockwise. positiver sin z 22 +1 dz where y is circle C(0, 2) traversed once and counter-

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Q: Evaluate √(2² + yz sin(xyz))dx+(y²+xz sin(xyz))dy+(x+xysin(xyz))dz where C is the curve following…

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Q: Let F = (7z+7x4) 7 + (3y + 2z + 2 sin(14)) 7 + (7x + 2y + 3e²¹ ) k. (a) Find curl F. curl F = (b)…

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Q: Evaluate where C is the portion of the circle centered at the origin with radius 2 in the 1st…

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Q: w=f(z)=z/(1-z) under transformation IzI=3 Find the image of the circle?

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Q: Evaluate |2*(x +7) – 2y ds C where C is the circle of radius 1 centered at (-3,0) and lying on the…

A: Since the integral ins on the plane x=-3 so the integral becomes:  ∫Cz3x+7-2yds=∫Cz3-3+7-2yds…

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: Let F = (3z + 3x²) i + (6y + 4z + 4 sin(y²)) 3+ (3x+4y+6e²²) k (a) Find curl F. curl F = (b) What…

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Q: Evaluate  ∫C (3y + exsinx) dx + (8x - ln(y3+2)) dy, where C is the circle x2 + y2 = 9  with positive…

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Q: i y-jx x* + y* Q.5 (a) Compute |F.dr, where F and c is the circle x + y = 1 Use parametric equations…

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Q: Evaluate | exp(-2²)dx, using an iterated integral and polar coordinates.

A: Using Cartesian coordinates to polar coordinates.

Q: Find lim R→∞ -R ex/6 e + 1 dx using the rectangular contour (explain in detail)

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Q: Let F = (3z + 3x²) ¿+ (6y + 4z + 4 sin(y²)) 3+ (3x + 4y + 6e²²) k (a) Find curl F. curl F - (b) What…

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Q: (a) Let f(2) = 24 +5z3 Evaluate the integral f(2)dz, where the contour C is the circle k| = 2.

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Q: Q3- Use Green theorem to evaluate [7y-ex]dx+ [15x-sin(y³ + 8y)] dy Where (c) is a positively…

A: This is a application of integral problem