1.5 Factorize the expression (5 - i)2 - (3 - 2i)z +eri

Q: Derive the formula of the P/G factor : (1+i)" - 1 1 (P/G, i,n) = %31 i(1+i)" (1+i)"

A: We will follow given steps to find out the P/G factor. First, we start with writing…

Q: 3 >(5 + v4i) i=0

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Q: (a) 5 Find the coefficient of x in the expansion of (2x -) . (b) Hence find the coefficient of x in…

A: You can use the binomial expansion to solve the problems as follows :

Q: 1 57. > Σ (k+6)(k+ 7) k=1

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Q: 8. 17 Find the exact value of x.

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Q: 11) 3".Zn

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Q: inf an · inf bn < inf(anbn) < sup an · inf bn

A: We have bounded non-negative sequences an and bn. Let a=inf an and  b=inf bn .

Q: 100 Find the coefficient of x10 in the expansion of (2x +;

A: To find the coefficient of x10 in the expansion of 2x+1x100 we will use(r+1)th term in the expansion…

Q: 30. One term in the expansion of (x+a) is 448x6. The value of a, if a >0, is

A: Please refer to the image below.

Q: 5. Determine the principal root of the 6th root of 2e^(jTT/2). Answer in exponential form. Round off…

A: To find 6th root of 2ejπ2

Q: 8n+5 II (1+i) = k=1

A: To find ∏k=18n+51+i:

Q: 1 a) an = (-1)", n2 +1"

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Q: 17 V3 (a) Write the number 2 in the form x + iy. - IN

A: The polar form of a complex number a+ib is given by the expression eiθ. Here, θ is obtained by the…

Q: 2 2 ď 1¹ [²³²375] = 0²³² +² t (8-373

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Q: i. Find the coefficient of x in the expansion of ( 2x –÷) . ii. Hence find the coefficient of x in…

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Q: Compute ||w| using w= ||w|| || = 7 5 -4 (Type an exact answer, using radicals as needed.) LO

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Q: 10 Find term number 7 in the expansion of: (3x + 5)°. the coefficient for term number 7 = the…

A: To find the term number 7 in the expansion

Q: 6.3 SOlving Sysfems usin Lv 2: Solve each syst 1) 3x-3y 39 -x + 3y = -27 %3D

A: We solve these equations by elimination method

Q: 8. Find the values of Σ 3 and j=2 ΣΩ 1-0 (2j + 1).

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Q: 1. 2 1.84 o (2)d (-2)

A: Given data, x P(x) 0 0.2 1 0.1 2 0.1 3 0.14 4 0.46

Q: Factor. 85. х — хt 86. х + хh 87. х2 + бху + 9y2 88. х2 - 10ху + 25у2 89. х2 — 2х - 15 90. х2 + 8х +…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 2. Factor 36z2 – 4 into the form a(bz +c)(bx –c). Identify the values a, b, and c respectively where…

A: By using formula se can solve the following problem

Q: (a) Use Newton's binomial theorem to calculate √50 with 4 terms. (b) What is the coefficient of rir,…

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Q: (a) 15% of all adult Americans support the changes (b) 20% of all adult Americans support the…

A: Concept: According to the central limit theorem, the sampling distribution of the sample proportion…

Q: 3 O Find the first three terms of the expansion of (1+x)(2x-1)

A: The given series is 3(x+1)(2x-1) We have to find first three terms of the given series. This can be…

Q: 8*+9 = 32*-3 3(4x-1) = 4(x+3) (round to two decimal)

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Q: |5πx 106 (4π10-7) [1+ j]J 4

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Q: . Factorize the expression (5 - i)z2 - (3 - 2i)z + e2pie(i)

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Q: + 1)3² – 120 000 = 2100(- how do you isolate for i?

A: Given expression is 120,000=21001+i32-1i

Q: n+2n Show that represents an integer Vn EN.

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Q: 100 - 1γ j= 1

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Q: 8 17 Find the exact value of x.

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Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: The Binomial Theorem is, (a+b)n=∑k=0nnkan-kbk Where, nk=n!k!(n-k)! The given question is to find the…

Q: x² + x²³²+x² + x³²+x² + x ² 7 ²4 3, 567 Find the coefficient of X18 in I

A: Given equation is x2+x3+x4+x5+x6+x74. To find: Coefficient of x18.

Q: 10. (a) Write Pascal's triangle. How are the entries in the trian- gle related to each other? Row 0…

A: Pascal's triangle is a triangular array of the binomial coefficients that arises in probability…

Q: 6. Which of the following is the term with number without variable? * O A. constant term O B. degree…

A: Given that which of the following in the term with number without  variable ?

Q: 10. = 8 11. 12x – 5 = 24 - k/7=0 answer: k/7x7=0x7 k=56 12. 8x + 15– 7x – 5 = 20 13. 2(a + 5) + 7a =…

A: 11)  12x-5=24 12x=24+5 12x=29 x=2912 x=2.416

Q: Factor 10+ 4i into product of primes Z [i], (Hint: Ille= (2)(2)(29)) in %3D

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Q: 3 1. Show that x - 3x + 1 = 0 can be arranged to give the formula: -1 X = n+1 (x-3) Using a value of…

A: We can solve this as follows:

Q: 1. Solve for x1, x2, x3, x4, x5, x6 [1 2 3 4 5 6 x 1 -3 2 5-4 6x2 6 1 -2 4 3 5 91 37 63 X3 3 2-1 4 5…

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Q: 2n+5 00 Zn=1 3n

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Q: 2.8) Mathematics - Expand and explain the steps involved. * i) (3xª – 7)(-4r³ + 15) il) (2а8 — Згр)2…

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Q: Find the coefficient specified in each item. a) a4 in (6−1⁄2a)6

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Q: 4-L { X.e is equal to: 40320 40320 40320 P+3)8), (p+3) 9) ,-3 (p-3) 9

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Q: ies: 1 1 27 81 n = %3D rith 10 terms.

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Q: cion 14 of 20 : the best answer for the question. x2 - 4x- 32 Simplify .2 x² +7x + 12 3 X+7 8x B. 3…

A: Given:  x2-4x-32x2+7x+12 In numerator writing -4x as (4x-8x)In denominator writing 7x  as (3x+4x)

Q: bit strings have an equal number of 0's and 1's?

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Q: -3 2 If A = 1 -1 then what is |A1009 – 5 A1008 = ? %3D

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Q: 1) 니.0.10%-7 12) 6 = 1.48 13) x'= 2나01 %3D

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