32. Evaluate (2i)' and express the result in rectangular form of complex number. A) 0.350 + 0.187i B) 0.150 + 0.133i C) 0.251 + 0.221i D) 0.188 + 0.257i

Q: 10 2) z = (-j)()

A: We have to use De Moivre's theorem cosθ+jsinθn=cosnθ+jsinnθ and Eular form of complex number…

Q: Find all complex numbers z satisfying z4 -81-81-√3 = 2 2 and give your answer as a comma-separated…

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Q: 1) Write a complex number in a standard form z = x + ly:: 2+i (2- i)(3i+ 4)(i+1)

A: The given complex number is

Q: Find all (real or complex) numbers z₁ and z2 such that 21+22=-6-3i Z1²2=3+11i

A: Given that:      z1+z2=-6-3iz1z2=3+11i The objective is to find all real and complex numbers z1  and…

Q: Acceptedcharacters:numbers, decimal point markers (period or comma), sign indicators (-),spaces…

A: It is given that  Number of times a coin tossed n = 7

Q: Find all complex numbers z satisfying -81 81 √3 2 2 -i and give your answer as a comma-separated…

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Q: 1. Solve the following equations. a) (7+2/)+(4-3) b) (5-2/ (2-)(4+2) d) 2- 1+2 e) 21-3 2. Find x in…

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Q: a) Let a complex number z =-5i+3. Find in the standard form x+ yi . IN

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Q: 4. What is the simplification of the following complex expression (i? = -1) 5-i 3+i

A: To simplify the given complex expression:- 5-i3-i

Q: 1. Describe and sketch each of the following sets of complex numbers: (a) 1 0 (d) |z −1²+ |2 + i|² <…

A: 1. (d) To describe and sketch the set z-12+z+i2&lt;2

Q: 4. Evaluate these complex numbers: (a) (40/50° + 20/-30°)¹/2

A: Since you have asked multiple questions, we can solve first question for you. If you want other…

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

A:

Q: Find all complex numbers z such that 2²=-12+16i, and give your answer in the form a+bi. Use the…

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Q: Find all (real or complex) numbers z₁ and z2 such that 21+22=-6-3i 2122=3+11i Enter the roots as a…

A: z1+z2=-6-3iz1z2=3+11i To Find: All real and complex numbers z1 , z2.

Q: Write the expression as a compl I) (-8 + 8i) – (2 + 4i)

A:

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: Q4-Find the complex roots of (4 + 4i)ō * (4 + 4i) (Demoivere's formula)

A: given

Q: 2. It is easier to find the power or the root of a complex number if the numnber is written in form.

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Q: The distance from the origin to the point that corresponds to a complex number is known as the…

A: The absolute value ( modulus ) gives the distance from the origin to that point z , where z…

Q: Express the result in trigonometry and rectangular form (1 + 2i)4 44. (1 – 2i)?

A: