QUESTION 14 Match the complex number expressions on the left with the correct simplified version in standard form on the right. 17-6i A. 21 25 3 -4+3i 25 v (6i + 15) - (19 - 7i) v (4 + 8i)(-2 - 3i) B. -4 + 13i C. 16 - 28i v 7+ 10 + 2(4i) + 3(-6i) D. 71i - 1 Е. —86 27 i 25 25 F. 17 - 10i G. 17 + 24i H. -13 + 22i 50 27 + 7 I. J. -60i

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: Find the square root of the following complex number z = 1 + 7i

A: To find  the square root of z=1+7i i.e. 1+7i

Q: Simplify the following con

A: Given,        -13+3i43

Q: 1) Write the conjugate of each complex number a. 7 (3+6i) b. (5-7i) (10+ 5i) c. (4.5+3i)/ (3-10i)

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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: 1+3i 5. Evaluate 1-41

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Q: 1. Write the complex number i+ 2 in the form of reio

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Q: How would I find the magnitude of the complex number based on the given values for z?

A: To find the magnitude of the complex number

Q: QUESTION 10 Find the two square roots of the following complex number: (-5 + 12) O (3 + 2i) & (- 3 -…

A: To find the square roots of the given complex numbers. -5+12i The square root of a complex number…

Q: Consider the two complex numbers 21 = -8-6i and z2 = -6 - 2i. Find 21-22 = (give you answer in the…

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Q: Calculate the following complex numbers (i) (1 + 3i)(2 − 4i) (ii) 1 + 3i 2 - 4i 1+ 3i 2 - 4i 10

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Q: Evaluate and simplify sec(3 – j5) · csc(2 + j4) cot(5 – j2) |

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Q: Perform the indicated operations and write the result in standard form. 1. (1- 3) + (4- 6i) 2. (-5 -…

A: We have to find the complex number As per guideline we have to solve three subparts

Q: (16—4i) — (12 — 3і) (3i + 7) + (34 – 6i) (-4+7i)+(8– 9i) (-1-i)-(-3– 4)

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Q: (a) Simplify the following () 62 (i) V-180 (b) For the complex numbers 21 = 8+ 15j and z2 =-3 + 8j,…

A: →j2 = -1→j4 =j2 × j2 = -1×-1 =1             So, j4k =1 , where k is any natural number.→Let z= x +…

Q: QUESTION 7 Select all the complex solutions for 4x2 + 3x+7=0. O A. -3+i/103 8 O B. -3-iv19 4 OC.…

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Q: Simplify the following expression involving complex numbers: (1-i)2-5i – (3+4i), Write the result in…

A: Let's find.

Q: Operate (3 + 7i) + (8 + 11i). A) -8 - 3i B) 10 + 19i (c) -11 - 8i D) 11 + 18i

A: We have to operate  (3+7i) +(8+11i)

Q: Simplifica cada producto.(Simplify each product.) (7-10) 7) (4i – 3)(2i + 7) 8) 3i(2i? + 4) 9) (i –…

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

Q: Find all complex numbers z such that z²=-7+24i, and give your answer in the form a+bi. Use the…

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Q: Needs Complete typed solution with 100 and % accuracy.

A: The objective of the question is to find the real and imaginary parts of the given complex numbers z…

Q: Reduce the quantity below to a complex number a + ib where a, b ER: 1 + 2i 3 - 4i + 1- i 1 + 2i +(3…

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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: 1. Write the complex number 2 + iv3 in the form of rete

A: We have to solve given problem:

Q: 1. Write the complex number 2 + iv3 in the form of rei0

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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.