(a) Let f(z) = %3D (z + 4- i) (z4 + 5z³) Using CRT, evaluate the integral Of(2)dz, where the contour C C is the circle |z + 4| = 2.

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A: I am going to solve the given problem by using some simple calculus to get the required result.

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

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A: We know, the surface area of the solid that is obtained by rotating the graph of y=f(x) about the…

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A: We can help you with the question. I am not sure how to help you with its attachments.

Q: Evaluate ||(x+2y)dA ,where D is the region bounded by the parabolas y = 2x² D and y=1+x².

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Q: (a) Let f(z) = 4 + 5z3 Evaluate the integral Of(z)dz, where the contour C is the circle z| = 2. C

A: So here we will find integral by residue theorem.

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

A: In parametric form,

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Q: 2. Let C be the positively oriented boundary of the square whose sides lie along the lines r ±1 and…

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A: We have to set up the integral according to the given information

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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: Evaluate J[(x+2y)dA, where D is the region bounded by the parabolas y=2x D and y=1+x².

A: Solution: Consider the given parabolas are y=2x2 and y = 1+x2 Draw the graph of the given curves and…

Q: d). Integrate f(x, y, z) = -√√x² + z² over the circle r(t) = (a cost)j + (asint)k, 0≤t≤2.…

A: Solution:-

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Q: 1. Find So(r+2y)dA, where D is the region bounded by the parabolas y r, and y=1+

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Q: 4. Find the area of the surface formed by revolving the graph of f(x) = x² on the interval [0,…

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Q: Calculate fSp(3x + 2y) dA where D is the region in the first quadrant that is inside the circle x2 +…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

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A: According to our policy we are allowed to answer only one question at a time. Kindly repost other…