2 Evaluate each of the following (1)f e 22 dz (2)S zsinz?dz (3) ; z2+1 dz z3+3z+2 -2z 3 Determine poles of the following function and residue at each pole z2 (z-1)(z-2)2 4 Evaluate sinz? dz eG-2) (z-) where C is |z|=1

Q: Which radical function has a domain of (xe Rx≤3) and range of (y e RIy2-4)? Oy--√x+3-4 Oy--√x+3+4…

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Q: Determine the pole of the functions and residue at each pole for f(z) =Z2-2z (2²+4) (z+1)²

A: Step 1: Given the function f(z)=((z2+4)(z+1)2)(z2−2z)​ =>f(z)=(z+1)2)(z2+4)(z2−2z)​…

Q: Let f(r) = In r Find and simplify f"(x).

A: Please refer the attached image for complete solution. THANK YOU.

Q: nich of the following is a polynomial function? a. y = sin x b. y = cos x C. y = 3x d. y = x³

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Q: = Evaluate S₁2₁,22,23] f (2) dz where 21 = −i, z2 = 2 + 5i, zg 5i and f(x + y) = x² + iy

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Q: show that the function 3x²y-y³ ty is he harmonic and then find it's Harmonic conjugate v (x, y)

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Q: 6. How many negative real zeros does the function f(x) = 625 - + 8x2 - 20 200 - O O or 2 O 1 or 3

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Q: 2. In each case, write the function f(z) in the form f(z) = u(x, y) + iv(x, y): z² (a) f(z)=z³+z+1;…

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Q: determine if the functions are one to one y = √36-x², y = = = ² 2 y =√x+1 − 3 1

A: A mapping f: A→B is said to be one-one if for each pair of of distinct element of A, their f are…

Q: O Consider the following function 5z2 – 4z + 3 f (2) = (z+1) (z+2) (z + 3) Find the residue at each…

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