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

Q: appose that X1,X2, ... ,X, X)e = (1/2)(1+ X0); %3D how that 3X is a consis

A: The expectation of the distribution can be calculated as:

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Q: z -7 2. prove that: Im(z)= 2i

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Q: 3. JX)=3X - g(x)=35x-30X+3 are ortnogonai each ther on [-1, 1].

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Q: Draw the bifurcation diagram for i = (x – 3)(c+ x)

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Q: )х, х(0) 5 8 -1 -2 X(0) = X' = %3D X(t) = || %3D

A: To find: The value of x(t) Given information: x'=8-156xand the initial condition is x(0)=-26.…

Q: Let Let z, = 2-2i ,z, , Z2 =-1-3i find Find 1) 3-i) 2) Arg Z2

A: The complex number is of the form a+bi where a and b are real numbers and i is called iota whose…

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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Q: Show that 1/2 1+ 72 2 1. i%3D1 Xi n-1

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Q: 4. Find the harmonic conjugate of u where u(x, y) = x2 – y? – 2xy – 2x + 3y.

A: We will answer the first question since exact one was not specified, Please resubmit the question…

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A: Given, let the function f be equal to△yk2; therefore, equation (6.52) becomes…

Q: Determine all minors and cofactors of A=[0 4 −4]      [-1 3 8]     [3 -2 8]

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Q: Find the conjugate of z = -2 – 4i, and compute zz. z = zz =

A: Given that: z=-2-4i

Q: Evaluate the integral. 2 (3u - 5)(u + 2) du -1

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Q: 2. Evaluate x-3x +6 for x= 4 +i x-3x +6 evaluated for x = 4 + i equals (Type your answer in the form…

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Q: Z1 = 3 + 4i Z2 = 5 – 31i Z3 = 8+ 2i Reduce to a + bi form 1. z1 + Z2 + Z3 2. Z1 * Z2 Z1 * Z2 Z3 3. –…

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Q: Exercise 1: Given that Z1 = 1– 2i, z, =-3+ 4i. Find Z1 and express it in a+bi Z2 form. 2: 1 Given z1…

A: we are given some complex numbers. as per our guidelines we can answer only first question or first…

Q: 1- -1 -1 provethat K K_2I %3D

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Q: 18x- 2(3x + 1) = 5x – 16; Prove: x = -2 %3D

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Q: Example 19-2. If y = 2x³ – x² + 3x + 1, calculate the values of y corresponding i. %3D x = 0, 1, 1,…

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Q: Suppose z 2- 3i and w = - 5i. Find: W-Z ?

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Q: Find the conjugate of z if z = (1+ 3i) + (-2-4i) O -1+i O-1-i 01+i 01- i

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Q: |z+2i|=|z+1- 3i|

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Q: 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-…

A: Use the substitution z=x+iy, then separate real and imaginary parts.

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: 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.

Q: 2 10 -1 3 Given that A = The (1,3)-cofactor of A is C1,3 = -2 13 -5 -0.1

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

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Q: السؤال 3 cos (z) =cosh (z) 0 صواب ihi O السؤال 4 The conjugate z of z=x+iy is z=x- iy صواب ihi O

A: 3. cos(z) = cosh (z) is FALSE

Q: Rewrite -5sin(15x)-3cos(15x)  in the form Asin(Bx+C) where 0<c<2pi

A: Given data is: -5sin15x-3cos15x To write -5sin15x-3cos15x in the form of AsinBx+C

Q: 2 A = 1+i 3

A: Given matrix is A=21+i1-i3 let the eigenvalue is λ. So…

Q: If Z1 = 4 + 5i and Z 2 = -1 + I,  express in the form a + bi  (i) Z1 + Z2   (ii) Z1 – Z2

A: Formula used  sum of two complex number is given by  (a1+b1i)+(a2+b2i)=(a1+a2)+i(b1+b2)

Q: ). Find 1 |z-j|=2 Z

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Q: If Z=1//2+j/v2 then the value * ?=of conjugate of Z^5

A: According to Euler, the complex number of the form cosθ+isinθ can be written as eiθ. The conjugate…

Q: Find the harmonic conjugate of u where u(x,y)=x^2 - y^2 -2xy-2x+3y

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Q: Show that I (x) = 2x - 18 is invertible. What are the domain and range of 1- 1?

A: Ix=2x-18 Now let, y=2x-18 Now to find inverse function interchange x and y, then solve for y in…

Q: Draw the bifurcation diagram for i = (x – 3)(c + x)

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Q: Find the canonic analytical expression of the following quadratic form q: R³ → R, q (x) = 6x,²+x,² –…

A: Given quadratic equation is…

Q: If Z-x.fu ,cxpress x Z Zg in its simplest form-

A: # given function z=x*f,(x,y) then to find the simplest form of relation of  X*Zx-Y*Zy in simplest…

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

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Q: Z-1 %3D ,then prove that x2 + y? = (x-1)2+y2 (x+1)2 +y2 (1) If Z %3D Z+1

A: Topic- complex number Note:- as per our guideline if more than one question uploaded than only first…

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: L Find the projection of i= i-2j- 2k onto = 6i +3j + 2k. %3D

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

A: We need to evaluate |2z2-3z1|2

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

A: Now,

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…

Q: Find harmonic conjugate of u=2xy+3y

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

Q: Solve the equation forX, given that

A: To show that the given matrix B commutes with the other two matrices, B=abcd commutes with 1000  and…

Q: Compute: (2 -i OC/2-i3) r:

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