in ExerCIses 11. : Z- = 6. Zs such that (1) 12 : Z Z such that o(1)312. Z x Z Z where (1,0) = 3 and o(0, 1) 5.

Q: QUESTION 8 List the elements in (3))in Z 18 -

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Q: How do you calculate ophat? 0% b/f P(1-P) 12 OP(1-P) √n Ophat-(1-phat) √n phat-(1-phat) TL

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Q: Question 12 Prove that n + 5n is divisible by 6 for all n E N.

A: To prove n3 + 5n is divisible by all natural numbers.      “Since you have asked multiple question,…

Q: why is algebra important? What are some interesting things about algebra? What are some pros and…

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Q: 1 (b) 1+j Evaluate (a) 1+j -25 (1+ j2 (3+ j4 2- j5 Show that = 57+j24

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Q: The expression (x+a)+5(x+a) +4 is equivalent to 1) (a +1)(a + 4) 2) (x+1)(x+4) 3) (x+a+1)(x+a+4) 4)…

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Q: I, \B|, A + B, and |A + B|. Then verify -1 1 8. 1 0 1 A = 0 1 1 B = -1 1 8 1 1 -1 0 1 8

A: Given: A=-11801111-1, B=101-118018

Q: S² z²√√(-z² + 1)5 dz

A: To find the value of the given integral.

Q: Show by universal generalization (twice-applied) ((CC-A) AB) U (DNB)) = (BN((C-AJUD)).

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Q: 1-j 1 Evaluate a. b. 1+j 1+j

A: Given: 1-j1+j Now,  1-j1+j=1-j1+j×1-j1-j=1+j2-2j12-j2=1-1+2j1-(-1)=2j2=j Hence, 1-j1+j=j

Q: If z1=1-1,z2=-2+4i. Evaluate |2z2-3z12. pdf.

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Q: N(a + bi)N(c + di) = N[(a + bi)(c+ di)] = 2. Show that 65 can be expressed as a sum of two squares…

A: See the detailed solution below.

Q: Simplify to the form a+ib 4 1-i (b) 1+i 4+5i (c) 6- 5i (a)

A: Note: We answer up-to 3 multiple subparts. Please resubmit question which you would like to get…

Q: Algebra II Topic 1-4 Order of Operations 1. Q- 2b + 3c 2. 2a + (b + 3)² 3. a + 3 [b² = (a + c)]

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Q: |E*| The real and imaginary portions of the complex modulus E* can be written as

A: This question is taken from the complex number in which we have to find the real and imaginary parts…

Q: Prove Theorem| 2.3: (i) (A+ B)" = A" + B", (i) (A")" = A, (iii) (kA)" = kA".

A: To prove the given transformations

Q: 1 1 2. Let B = Find B-1. 1 1

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Q: Simplify the following expressions: (a) (2+6i)+(9-2i) (b) (8-3i)-(1+ 5i) (c) 3(7–3i)+i(2 +2i) (d)…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: 2F₁ (a,b; b-a+1;-1) = T(b=a+1)T b r(+1) r(2-

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Q: Evaluate the following: (9 + e-ºt) 5(t - 2) dt = (9 + e -ºt) 5(t — 9) di c. * (9 + eº) 5(t) dt = a.…

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Q: Prove if R(a) = (21 – A)*' +hen R(1)– R(µ) = (1H)R(2)R(µ)

A: Given that Rλ=λI-A-1 Let λI-A=Aλ                      . . . (1) So, Rλ=Aλ-1 ⇒I=RλAλ=AλRλ         . .…

Q: uestion 2 Identify the type of the given propositions. Question PA p Tvp p→F q +T

A: Note: " Since you posted multiple question. As per our guidelines we are supposed to solve one at a…

Q: You are testing an electrical device which can be modelled by the following equations: 1₁ + 2(1₁…

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Q: 2 -2 a) Evaluate by Chio's method -2 1 1 0 -1 0

A: Solution is given below:

Q: Showing all work and simplifying your answer, the real part of the following num- determine bers:…

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Q: 2. 5. 2.6= 3 and c = 5. Let a = %3D 3 Compute (1) a + c (2) a + 6+ a (3) c+d +b

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Q: 2. 1 3 Let A = |0 2 -1 Lo 2. a) Show that (A – 21)³ = 0 . Calculate e4-21 b) Use the fact that A(21)…

A: (a) We have…

Q: C units A units B units Criteria B (i) and (ii) L5-6 Construct an algebraic formula to link the…

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Q: The weather on any given day in a particular city can be sunny, cloudy, or rainy. It has been…

A: Markov Chain: A Markov Chain is a random process describing a sequence of possible events in which…

Q: FE 3 4. Using the PEMDAS rule, answer the following equations= 3+ 8 (4 - 2) – 7 Sitome Iom lo euton…

A: Since you have submitted problem with many subparts. Here is the solution for first three of them to…

Q: Question 3. Is [1 0] 0 1 [1 0] [o o] 0 1 0 1] M22 = span 1 1 0

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