Write z-5- iz +3i in a +bi form (x+y-5)+i(3 – x –y) (r+y- 5)+i(3 – x +y) (x +y+5)+i(3 – x – v) (x- y-5)+i(3-x-y)

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A: Given Q=x12-4x1x2+x22

Q: السؤال الرابع: جد ناتج أحد التكاملين التاليين 1-y² 2-x2-y2 2- So So zdzdxdy

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Q: (2)に z8-92-3 %3D

A: We reduce the equation.

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Q: Write z -5- iz + 3i in a + bi form . (r-y-5)+ i(3–x-y) (r+y-5)+ i(3 – x +y) (r + y + 5) + i(3 – x…

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A: Given that: z=-2-4i

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A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

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Q: Use Cramer's rule find yhe solution of x1: 2x1+X2-3x3=0 4x1+5x2+X3=8 -2x1-x+4x3=2

A: write the matrix D from the given equations  D=21-3451-2-14 calculate the determinant D…

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A: We use Laurent series to prove given example.

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Q: 223+-5 -j Suppose z1 = 2+ j, 2 = 3- j2 and z3 = -+j Evaluate %3D 2-a+3-j

A: Substitute the given values of z1,  z2, z3 in the given expression and simplify.…

Q: + 5(7+ j2) 3- j4 QII Simplify (2+ j5)} -j(4- j6), expressing the result in the form x+jy.

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

Q: If Z=x+iy and 3x+(3x-y)i=4-6i then Z . * -4/3+10i O 4/3-10i O 4/3+10i -4/3-10i

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Q: 6. Show that when 0 < |-1|< 2, (z-1)(z-3) Complex Analysis (z-1)" 2+2 =-36 z−3) ² A=0 2(z-1)

A: We use substitution and Laurent series expansion.

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A: 1. we have given Quadratic form x2+3y2+3z2-2yz  ...(i)   now we convert it into the sum of squares…

Q: express z1z2 and (z1/z2) in the form a+ib z1=-1+3i, z2=2-i

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Q: f (z) = -7z4 + z2 – 25

A: This equation is about the fundamental theorem of algebra. In which for the equation shown identify…

Q: If Z=x+iy and 3x+(3x-y)i=4-6i then Z . O -4/3-10i O 4/3+10i -4/3+10i O 4/3-10i

A: The solution is given as

Q: The equation 2x° + 4x-5x + 7x 1 0 has negative, positive, complex roots, respectively. 5, 0, 0 or 4,…

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Q: 7. Derive the harmonic conjugate of u(x, y) = x² - y2. (2 2

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Q: -Example: Find a harmonic Conjugate for U= X x²+y²

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Q: 6. Suppose that 1+2i is a complex zero of f(z)= z* – 2z³ +6z² – 2z +5, for all z eC then the other…

A: Given: The complex function is fz=z4-2z3+6z2-2z+5 for all z∈C. One of the root is (1+2i)

Q: 8. Determine whether v(x) = r'+3|x| even, odd or neither. Discuss its symmetry.

A: Q8) Given: v(x)=x3+3x

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Q: express z1z2 and z1/z2 in the form a+ib. Q. z1 =4−i, z2 =1+3i

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Q: Write z -5– iz + 3i in a + bi form (x +y– 5)+ i(3– x + y) %3D (x - y– 5)+ i(3 – x –y) (x +y – 5) +…

A: The standard complex form is a+ib. The complex number can be written in ways : Cartesian form :…

Q: -4 -11 25 16. Without formally showing that there is a nontrivial linear combination of x-2x, x++x³…

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Q: If z1=1-i,z2=-2+4i.Evaluate |2z2-3z1|²_

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Q: 17. x² + y 24x+4y-85 %3D Standard Form:

A: Topic : circle As per our guidelines we are supposed to answer only one question. Kindly repost…

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A: The objective is to find the harmonic conjugate of u=2xy+3y If v is the harmonic conjugate of u then…

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Q: 1 3-Find zeros and poles of x(z): %3D (1-금-7)(1-27-3)

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A: