5. Find and sketch on the complex plane the 7 seventh roots of 128. Repeat the operation for 128j. Hint: Express 7 as 7e2nk for k = 0, 1, 2,, 6 (Why is this correct?) and find the roots for each case. The roots must all fall on a circle on the complex plane. How would you do similarly for 128j?

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: For the complex numbers • w = 3-5 i • z = -4+7 i Enter exact value of the imaginary part of their…

A: Product of two complex numbers (a+ib)(c+id)=ac-bd+i(ad+bc)

Q: 2. Find the square roots of the complex number: Z=3+4√7 i

A: Square root of complex number

Q: The arrow at the maze entrance indicates that the robot will be heading east when it enters the…

A: Given :- The arrow at the maze entrance indicates that the robot will be heading east when it enters…

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: Find all distinct roots (real or complex) of z+(-8+6i)z+(8-24i). Enter the roots as a…

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Q: Find the complex conjugates for each number below. Please note that the line above the number is the…

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Q: 111. Give an example of a complex number that is its own conjugate.

A: Given, Give an example of a complex number that is its own conjugate.

Q: Which of the following are the cube roots of Check all that apply. 27i -3eTi/6 3e5mi/6 V27e3i/2 -31

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Q: 4. Possible roots (degree): Number of real roots: Number of complex roots:

A: Open and ends in opposite direction- odd degree

Q: show all the work please asap

A: Roots:            Polar form:…

Q: Find the argument of the complex number 3 + 17i - 9. 9T - 4 97 4

A: To find the argument of given complex number

Q: Gg.73. rind the complex conjugate of t -1 Write your answer in the form

A: Given: t-1 We have to find the complex conjugate of t-1.And write the answer in the form of a+ib.

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

A: See solution below

Q: Find the real component if the

A: Given,             a+bi Here,         a=9,  b=10, and n=7.

Q: 5. (a) Let z = (a + ai)(b+ bv3i) where a and b are positive real numbers. Without using a…

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Q: 1. Write the complex number 2+ iv3 in the form of reio . (2 Marks)

A: Here we first find modulus and arg then convert this into polar form

Q: Convert to complex form z3 = 8

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Q: Write the following complex expression in Cartesian from. Simplify as much as possible. 10 (√6 +…

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Q: 4. Preform the following operations and express the answer as a complex numbers. а) (15 — 20) — (6 +…

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Q: a

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Q: Find the complex conjugate z of z1 = -1+5i. %3D

A: Given that z1=-1+5i find the complex conjugate

Q: For the given complex numbers: Zı = 4 - 2i and Z2 =-1 +3i, find: 2*Zı - Z2 Select one: a. 5- 5i O…

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