Question 4) -Find a positive integer n for which :-1. = -1. -Find all distinct values of: (i) 81/3 (ii) i/2 (iii) (–1+ i)'/3 (iv) (–1 + v3i)'/2 16i 1/8 (v) 1+i,

Q: 01- find the values of x and y for the following:- (1 + i)² 2-i a) = x + yi

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Q: 3. i 5. (5 -91) + (2- 4i) 7. i(5+ 7i) 9. (2 - 3i)(4 + i) 4 i" 6. 3(4 - i) - 3(5 + 21) 8. i(4 – i) +…

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Q: V-25+ 2iº5+3(i6)' + |9 + 8i| – 4(5+ 6i) v-36

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Q: Example 4.8.2 Simplify the following expressions: (a) Cov(8X +3,5Y – 2), (b) Cov(10X - 5, -3X + 15),…

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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: 2. Simplify the following: 2 (m²)? ii) (62n* 1 ) ( 9 2n) (35+1 ) (2 2) i) ii) (2m³) 2 (3m) 2

A: Topic:- simplification

Q: 4. In(4i)

A: complex number

Q: iF Uo=c Unı%=D(2n+2)Un +2 n+ Find Un

A: Use the given relation.

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: Find dx Nx+7+X

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Q: i Arg[; -ny) 3(1-i)7. O None of these

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Q: What does 0/0 mean? And what does x/0 (where x is a real number) mean

A: ## we want to find what does 0/0 and x/0 means where x refers a real number.

Q: Compute each of the following. (2bdm from 5.4) a) (12) (1253) b) (1423) (34) (56)(1324) c) (12)-¹

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Q: Find all the integer solutions for x+5/10 (11-clock) Show all your work to answer the problem.

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Q: 8 (541)(2e78i) 1. (720)4

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Q: Which of the following is equivalent to 3(5+ 2i)– 2(3– 6i)

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Q: 20. Express (-3 - 8i) (-7 + 2i) + (7 - 3i) in simplest a + bi form

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Q: If (A) -71,then (A)] = ...

A: I have appended the formula used in the solution part.

Q: Express the following expressions in the form of a+bi: a) (-1 + i)1/3 b) Ln (1 + i)

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Q: *Find 9/(3-21) (27 + 18 i) /9 O 7/13) - (18 /13)i Ο /13) + (18/13) i O 27 + 18 i Ο Ο Ο Ο O

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Q: If z₁ = 5-i, z₂ = 1-2¡ then evaluate 32₂ +22₁-5- z, 2z, -3z₂ +3-i

A: Use complex number concept

Q: expression wi SION

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Q: 2. [(x – 1) + 5][(x – 1) – 51]. Write the answer in the standard form

A: To write in standard form.

Q: Yz 3-4i, what is in standard form a + ib? 3. 3 (a) 4. (b) 3+ 4i (d) -- (c) -3+ 4i (0) 25

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Q: Use (9.11) and (9.12) to simplify (ABTC)T, (С-1мс) -1, (АН) -"(АНА-1)"(НА-1) -1.

A: For (ABTC)T by using (9.11) we get (ABTC)T = CT(BT)TAT As (BT)T = B Hence (ABTC)T = CTBAT

Q: Simplify and express in a + bi form: (12 + 3i) – (3 – i) 2.

A: 2. We need to simplify the following complex number expression 12+3i - 3-i

Q: 30) What is the difference when (4 – i) is subtracted from (2 + 5i)?

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Q: Find A*. 1- i 7+i 3i A = 6 9 +i |() ? ? ? ? ? A" =

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