- Given two complex numbers z = 3 — 3j, and w = 1+ 7j, which of the following options equals? O - - O. 18 50 - 18 √50 24 18 √50 50 10 + 20 j j W 24 + j √50 24 53 √50

Q: 1. Solve the following complex roots and plot the solutions if

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

Q: 1. Express the sum of (2 - 3i) and (6 + 4i) divided by the sum of (4 + i) and (-5- 2i) in a + bi…

A: 1)  To find the value of           {(2-3i)+(6+4i)} / {(4+i)+(-5-2i)}

Q: - Let a1, a2,..., an be nonzero complex numbers. Find 0 0 0 0 : 0 an a1 0 0 a2 : 00 : 0 0 : ... ...…

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Q: Assume Z₁ = 7 - 4i and Z₂ = 2 + 5i. Find the sum and difference of z1 and 22.

A: Given  Z1 = 7 - 4i Z2=2 + 5i

Q: Select one: O a = 1+iv2 and æ = 1 – iv2 O a = -1 - iv/2 and a = -1+i O not in the list O r = -V2 and…

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Q: 3. In the equation given below: 1- 5i y %3D 3— 21 2 -і Given further that x and y are an element of…

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Q: Let zand w be complex numbers with the following properties. |z| = 7, |w|= 3, Arg(z) = − and Arg(w)…

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Q: What is the multiplicative inverse of the complex mumber z = 2-5i? 2 В. 29 29 c (1) D. (;=) А. C.…

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Q: Let i denote the square root of-1. For the two complex numbers z = 3e and w = 6eT find z, w. Give…

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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: the argument of the Complex number: Z= ¹+√ √B-j

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Q: Show that x+iy | g+ix / = 1₁ =1, where X +iy and y+ix are complex numbers.

A: Here, let evaluate x+iyy+ix Using the absolute rule ab=|a||b|: =|x+iy||y+ix|

Q: Use the value of the discriminant, b² - 4ac, to determine the number and type of roots for x²-3x+7=0…

A: We have to use the value of the discriminant, b²-4ac, to determine the number and type of roots for…

Q: 9. For which complex numbers is it true that z² = |2|²?

A: Here is the solution:

Q: If a = (-1,-4, 4) and b =, then a x b equals: O-4i-k O 4i+k O i+ 4k O 4i+k None of the others.

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Q: Assume Z₁ = 2 - i and Z₂ = 1 + 3i. Find the product and quotient of z1 and 22. Z₁Z2 = Z1/Z2 =

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Q: 5. Express the following complex number in the form a+ ib, where a snd b are real 3-21 5+31" ( Find…

A: We have to solve given complex number question.

Q: 1. Simplify the following list of complex expressions to the form a + ib where a, b are real…

A: we need to simplify the given complex expression to the form a+ib we know i=-1,  i2 = -1,  i3=-i, i4…

Q: 7. Express the complex number 1/(1+ jV3) in the form Aejº

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Q: Simplify the complex number i 35 as much as possible.

A: See solution below

Q: Assume Z₁ = 7 - 4i and Z₂ = 2 + 5i. Find the sum and difference of z1 and z2. Z₁ + Z₂ = Z1-Z₂ = +

A: Given that z1=7-4i and z2=2+5i

Q: Calculate the following. - 2+4 i (C) (-2+5 i) - 1- 5 i - 3+3 i 4+2 i 5+3 i (a) 2+ 4 i (b) - 5i - 3+3…

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Q: If u = 2 + i and v = 2 - 2i, then what would be the result of the following combinations in the form…

A: We know that complex numbers are of the form z=a+bi where a is real part and b is imaginary part.…

Q: Determine u = cis(pi/16) v = cis(5pi/16) are two of the nth roots of some complex number z.what is…

A: Given: Determine u = cis(pi/16) v = cis(5pi/16) are two of the nth roots of some complex number…

Q: C. If the given complex number is a root of a polynomial equation, give the complex conjugate that…

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Q: #2. If 2₁ and 2₂ are two complex numbers, show that 12₁-221² + 12₁ +221² = 2 ( 1211² + 122 1²).

A: 2. Let z1 = a + bi and z2 = c + di be two complex numbers.      Then,          |z1|2 = a2 + b2…

Q: -1 - i 1. (1 – 3i) ÷ (1 + 2i) is equal to 2. (7 + 4i) ÷ (-3 – i) is equal to (-5 – i)/2

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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: Let i denote the square root of – 1. For the two complex numbers z = 3e and w = 6e'5 find z. w. Give…

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Q: a

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