QUESTION 17 Simplify. Write your answers in the form of a+bi, where a and b are real numbers. 3+i 3) 1o 10 1. 1. 10 10

Q: 1 cos 40 2

A: cos4θ=-12, 0≤ θ<2π4θ=2π3+2πn, 4θ=4π3+2πnθ=π6+πn2, θ=π3+πn2Solutions for the range 0≤ θ<2πθ=π6,…

Q: 5(2-3i) – 4(4+6i)

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Q: Question 22. Let i denote the square root of –1. Suppose z = 5+2i and w=-3 - i. Find a complex…

A: See solution below

Q: Let A = [3 – 2i 4i 1+ 6i], and B = [5+i 2 – 3i 5]. Find (1 - 2i) A + (3 + i) B. %3D

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 6. Evaluate the following and leave your answer in standard form [(1 – 4i)-1 – 2(i + 1)-'[(3 – 4i)(i…

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Q: Write 1/ (3 + 4i ) in standard form a + bi; that is, find the reciprocal of 3 + 4i.

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Q: Which of the following is not a real number? (1) (6 + 2i)(6 – 2i) (2) (–2i)12 (3) (3 + 4i)(-4i) (4)…

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Q: Question 13 What are the roots of x -x +7x -7x² - 18x + 18 ? x = 1, x = ± 2i, x = + - - /3 B x = 1,…

A: We need to evaluate the roots of the following expression x5-x4+7x3-7x2-18x+18

Q: 11 > 5i2 + 4 i=1

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Q: QUESTION 16 Simplify. Write your answers in the form of a+bi, where a and b are real numbers. (3 -…

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Q: Evaluate the expression (4+2i)(−2+1i)(4+2i)(-2+1i) and write the result in the form a+bia+bi.

A: a + ib = 100 +0i

Q: Which of the following is the standard form for the product of (2 + 3i)(2 3i)?

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Q: Question 7 Given that w = 3-5i and z= 6 + 9i, find: :-W and W+Z

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Q: If I have to evaluate the expression (3+2i)(−4+3i)(3+2i)(−4+3i) and write the result in the form…

A: Product of two complex number  : (p + q i )( r + s i ) = ( pr - qs) + i( ps + qr)

Q: Write the given numbers in the form a + bi where a, bER (1) (–2+2i)³ (5-4i) - (3+7i) (ii) 4+2i) + (2…

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Q: 18. Express the following in simplest form: (3+ 4i)?(3 – 4i)²

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Q: Question 16 Write the product of (4 + i) (4 – i) in the form a + bi.

A: Q.16) Write the product of 4+i4-i in the form a+bi

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: b. Express the following quotient in the form a + bi. 2[cos 345° + i sin 345°] 5 [cos 120° + i sin…

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Q: Evaluate the expression (5 – 6i) – (–1+6i) and write the result in the form a + bi. Question Helps

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Q: 5. [10] Use DeMoivre's Theorem to expand [4(cos 60° +i sin 60°)]". Write your answer in a + bi form.…

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Q: 9 – i 3 + 9i If A = find A*. 7+ 5i -4 + 8i ( ) ? ? ? ? A*

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Q: Question 10 Let a = 7i + 5j and b = - 5i – 6j. Find a · b

A: Here I am attaching image so that you understand each and every step.

Q: Given that 6+ 3i = a + bi, 2+ 4i find the value of the number b.

A: To find the values of a and b, first we rationalize the given fraction and then by comparing real…

Q: 1. Convert the ff. in cartesian form: (a) 2² = 4+47² (b) p = sin osin

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Q: Question 12 What is the exponential form of the complex number 4+3i? A Se 53.13ºj B 5e 36.87ºj 7e…

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Q: Evaluate and write your answer in a + bi form. [2(cos 83° + i sin 83°)] = %3D

A: Given: y=2cos83∘+isin83∘3 We know that cosθ+isinθ=eiθ…

Q: A ________ number has the form a + bi, where a ≠ 0, b = 0

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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: nced Math For any complex number Z, le|22if Re(Z) 2 1 Re(Z) > 0 Im(Z) > 10 None Im(Z) > 00 answer…

A: Taken z=x+iy and got the inequality on x which is Re(Z)

Q: Question 14 Simplify 10 A) -1 B) -i c) 10 - 10i D undefined

A: The given problem is to evaluate and simplify the given complex expression. Given complex expression…

Q: Evaluate the expression ( – 6 + 2i) – (6 + 4i) and write the result in the form a + bi.

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Q: 1.) What is the cos(B)? 10 5/3 C 5 B. A,

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Q: 27 1+1 Evaluate the expression (2i – 1)² Express the answer in rectangular form. 1+i,

A: The rectangular form of a complex number is z=x+iy. The conjugate of the complex number: z=x+iy is…

Q: QUESTION 2 27 sin +icos 9. 1+i 0+i 0- i 1-i

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Q: Evaluate the expression −4−1i/ 3i  and write the result in the form a+bia+bi. The real number a and…

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Q: What is the equivalent to the following expression in the form a + bi? (8+9i) – 3i[2i – (4- )]

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Q: 4. Simplify 3- 2i / 1+i into the form a + bi 5. If 2 - a – 5i / (1 – bi) = 3 – 5i, find a and b

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems.These are…

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. Based on the figure, select ALL true equations. * B a 48° A cos(42)=b/c cos(48)=b/c sin(42)=b/c…

A: Cos A =ACAB

Q: Find the four fourth roots of z = 81( cos 2 + i sin 2 ). Write each root in standard form. 3 3 Wo =…

A: Given that z=81 cos2π3+isin2π3. Obtain the fourth roots as follows. z14=8114 cos2π3+isin2π314=3…

Q: - If A =3i and B=4i,then A B =... (where 0-1/2)

A: Given :A=3i    and B=4i

Q: 10. Write each expression in the standard form a + bi: a. [4(cos 10° + i sin 10°)]³ 4 b. [V2(cos 15°…

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: Given that (1+2i)² = a + bi, correctly complete the following: • a equals [ Select ] [ Select ] b…

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Q: Question 7| Solve for z, and give your answer in the form a+bi. z+5-4i = 3z+9-8i z = 0

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Q: QUESTION 17 Simplify. Write your answers in the form of a+bi, where a and b are real numbers. 3+i 3…

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Q: 7. *cos(2) dr 7.

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Q: Question 7 Given that w = 3-5i and z= 6 + 9i, find: :-w and W+2

A: Given w=3-5i & z=6+9iTo find z-w & w+z:

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

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