-2 3. (a) Given complex numbers 2₁ = 1-i, 22 = 2 + 3i calculate 2₁² +22. in an (b) Illustrate the position of the complex number a 2 eiπ/3 Argand Diagram. Write a in exponential form, and then express this in Cartesian form.

Q: Express each ratio as a single cor (a) (23.5 + j8.55)/(4.53 – j211) (6) (21.2– j21.2)/(3.54 – 3.54)…

A: Given : (a)  2.35-j8.554.53-j2.11 (b)  21.2-j21.23.54-j3.54 (c)  -7.07-j7.074.92-j.868 Here

Q: (a) 2122 + 22Z3 + 2321 (b) (c) Re(z) +Im(2?

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

Q: -2+3i . Find the complex conjugate, Z. Write your answer in a + ib 3-2 Given Z= form.

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Q: Consider the complex number z = (1 – i)(-1-iv3). Find |2| and arg(2).

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Q: Solve the equation in the set of complex numbers "C" ew = 1 - j

A: Solve the equation in the set of complex numbers "C" ew = 1 - j

Q: Given the complex number   z=x+yj. Determine z .   Express your final answer in rectangular form

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Q: Calculate the following complex numbers (i) (1 + 3i)(2 − 4i) (ii) 1 + 3i 2 - 4i 1+ 3i 2 - 4i 10

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Q: Find the principal value of the complex power: zº where z=1+i, a=1+i and B=1+i.

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Q: Express the following complex number in the form x + iy (1 - i)(2 i) (3 - i)

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Q: 1. Describe and sketch each of the following sets of complex numbers: (a) 1|2z -8 0

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Q: (a) Simplify the following () 62 (i) V-180 (b) For the complex numbers 21 = 8+ 15j and z2 =-3 + 8j,…

A: →j2 = -1→j4 =j2 × j2 = -1×-1 =1             So, j4k =1 , where k is any natural number.→Let z= x +…

Q: Plot the complex number z4 = (√3/2+1/2i)^20 in the Argand diagram.

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Q: i7(√3-i10) (2 - i5)

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Q: Convert the complex number z = -√2 (lis (317) in its rectangular shape

A: Given: z=2cis3π4 To find: Rectangular form of given complex number.

Q: Solve the following complex number: 1. 2+i/1-i = i(x+iy), x=? ; y=? 2. (2+i)(3-2i) = a+ib, a=?;…

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Q: If Z₁=14+7i and Z2=3+17i, determine the imaginary part the complex number: Z₂ Give your answer to…

A: Given :Z1=14+7iZ2=3+17i

Q: The real part of the complex number z = (2+2i)² + e¹+2i is

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Q: Given the complex numbers z = 2 + j3,zz = -1 - j2,andzg=4+j4 find; Im (高)x+x@zs)+Im(zz+z) (元)

A: Given: Complex numbers are z1=2+j3, z2=-1-j2 and z3=4+j4. To find:…

Q: Reduce the quantity below to a complex number a + ib where a, b ER: 1 + 2i 3 - 4i + 1- i 1 + 2i +(3…

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Q: Find the complex number (4+2i)/(1-3i)

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Q: Write the following complex numbers in rectangular form (z = x + iy) el-i +1 el-i – 1'

A: I have divide each terms as a+ib form the rationalized

Q: 2. Write the complex number 3+5i 5-3i in the form a + bi.

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Q: 2.2 Simplify the complex power (E) -2i and leave your answer in its simplest form.

A: Given that, the complex expression is 1+i1-i-2i.

Q: Express the following complex number in exponential form: (-1 – 5) 3.1 e2.5i 5.1 e4.5i -5.1 e4.5i…

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Q: Solve using complex analysis: 1²t Jo 5-4cos(0) 2 cos(30) -do

A: Given: ∫02πcos3θ5-4cosθdθ. We have to solve using complex analysis.

Q: 2. Solve for the complex mumber z in r (4+ 36) – 7 = 7x - 4zi. Show all algebra.

A: Given expression is x(4 + 3i) - 7 = 7x - 4xi

Q: In the following, find each complex number in the form a + bi, and plot each in the complex (a) (2 –…

A: i HAVE PROVIDED SOLUTION IN STEP2.

Q: The reciprocal of a complex number x+jy is

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