Consider the following definitions of imaginary numbers: x=4−2i y=6+7i z=5i Then, x+y−2z=?

Q: simplify the expression (square root of 16 - x square) sd much as possible after subtituting 4cos…

A: Using sin^2(x)+cos^2(x)=1

Q: Evaluate: Ei°(3n + 7) = [ ? ]

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Q: Use telescoping to find the value of: 500+8 1 1 Σ 26i- 58 i=2 26i + 104 – 58

A: Using the telescoping to find the sum of the given series.

Q: The imaginary number i has the property that i2  .

A: I am assuming your question to be "The imaginary number i has the property that i2=". Since we know…

Q: Describe how you would solve an equation of the form: sin20 + acos0 = k, for 0 <0 < 2n, where a and…

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Q: (1+i)·(10260°) (3–7i)+(9/120°) . Express your answer in rectangular form.

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Q: snip

A: To solve the equation: cot(2θ)=1,where 0o&lt;θ&lt;90o Solution: Given,cot(2θ)=1 On simplifying…

Q: The value of +2i+1 is i-1 139 146 124 90

A: Given that  ∑i=16i2+2i+1

Q: Find the value of (1 + i), where i is the imaginary unit.

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Q: 5. e-1+4i 5. cosh(2e3')

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Q: 11 > 5i2 + 4 i=1

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Q: If A = -9 + 5i and B = 4 – 3i, find А- В

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 1. Simplify xi(i – 7i)², where i is the imaginary unit.

A: We have to simplify the given expression in which i is an imaginary unit

Q: (-4+ 7i)+(8- 9i)

A: Here, we are given two complex numbers -4+7i and 8-9i We shall find their sum Addition of two…

Q: Given that i is the base of the imaginary numbers, justify why i' must be equal to -i?

A: To Prove i3=-i

Q: 5. Simplify to a C. Write answers in the form a + bi a, b eR (i) (3 – 5i)(3+ 5i) (k) (3 – i)? (1)…

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Q: If 4x + 6i = 8+3yi , then x +y is equal to A. 1 В. 2 С.3 D. 4

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Q: Find w=a + bi = Vz , where a and b are real numbers. 24+10i W = W

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Q: What is the imaginary number of z= -1 +2i ? Select the correct response: O Im (z) = -2 O Im (z) = 2…

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Q: If A= 2+5i, B=6-4ic C=9-2i, where i is the imaginary unit, then AB – C. 23 +20i O 23-20i O 23 + 24i…

A: Given query is to find the value of AB-C.

Q: 7. If P = -6+ 7i, Q = 5+ 9i, & R= -1– 2i, where i is an imaginary number, please find PR

A: Complex number

Q: Use DeMoivre's Theorem to find the following. Write your answer in standard form. -8 – 8i3 8+8i -16…

A: Explanation of the answer is as follows

Q: y 14

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Q: Find w a + bi = z, where a and b are real numbers. %3D 60i-11

A: We have the formula x+iy=x2+y214costan-1xy2+isintan-1xy2

Q: The value Of (1+1)8, is equal tO O 16 4 4i

A: 1)  f(z) = (x-y)2+ 2i (x+y)Here u = (x-y)2,  v = 2(x+y)ux = 2(x-y),   uy= -2(x-y)vx = 2,  vy = 2for…

Q: 2nt H = 12+3 sin 365

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Q: What is the value of (3+2i)³ + (3- 2i)6

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Q: When 3+4i / 2+i is expressed in the form a + bi, what is the value of a?

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Q: 2. Perform the required calculations and express your answer in the form a + bi. a) (1 + i )6 c) 3-…

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Q: . Simplify the expression, (4 – 3i)(-3+ 6i) – (2 – i). Show your work.

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Q: What is the quotient of 1+i ? 3+ 4i 뜬 + 뚜- + 25 25 25 -页

A: Find the quotient of 1+i3+4i

Q: ind the value of (-1-√√3i) 267

A: Please refer to the image below

Q: 0<r< 2 sin 0, 0<z<3

A: Given data:     The first given inequality is: 0≤r≤2 sinθ. The given limits of z are: 0≤z≤3.     The…

Q: Simplify the expression. 4i2−6i−7i2 +3i+4

A: Given,

Q: Find the quotient. Write the answer in standard form. 5+4i 3+6l

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Q: Find w=a +bi = = Vz , where a and b are real numbers. %3D -60i – 11 W =

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Q: Find w a +bi = Jz, where a and b are real numbers. -60i-11

A: Given, w=a+ib=z -60i-11

Q: C = In(sec[=10 – 16i])

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Q: Find real numbers a and b such that the equation is true. a + bi = 15 – 6i a = b %3D

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Q: 2. i 3-2i 5

A: We have to compute the indicated power -i3-2i5

Q: Find x and y so that the following equation is true. 4 + 8i = 6x - 24yi X = y =

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Q: 49. Which of the following numbers is a pure imaginary number? 2 + 8i -5i -32 45

A: Given, The numbers  2+8i -5i -32 45 We have to find the pure imaginary number from the givn…

Q: The imaginary number i has the property that i2 =              .

A: It is given that The imaginary number i has the property that i2 = ______ .

Q: Write the given numbers in the form a + bi where a, b ∈ R. (i) (−2 + 2i)5

A: In this question we we use (a+b)^2=a^2+b^2+2ab . we know that i^=-1.

Q: 2) (-5 +2i) (7i)

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Q: 9) Simplify, then write your result in standard form: (6 + /-9) – 2i + 10 – J16. (a) 16 - 3i (b) 13…

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Q: Solve the following expression in the form of a+ bi : i) (-3+4i)(7–1li) 11-2i -2-5i 2+3i 1 +. 2-3i…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: 5. Simplify to a C. Write answers in the form a + bi a,beR (a) 3i + 5i (b) 6+ 2i – 5 (c) (6+ V-4) +…

A: A complex number is the number which can be written in the form a+bi, where a and b are the real…

Q: Simplify the expression (4 – 4i)(3i – 4) + |5 – i| to the form a + yi where a and y are real…

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