For #1 and #2, write a 2-column proof. 1. Given: 5(2x – 8) = 30; Prove: x = 7 5C2x-8)30 Gioen 10x-40=30

Q: Given that (x−2)(x−2) is a factor of x^3+x^2−5ax+2a^2 , 'a' can take the value of 2 or which other…

A: Given,           (x−2)(x−2) is a factor of x3+x2−5ax+2a2.

Q: Find a value ofr and a value ofs so that AB" = 0, where A = [1r 1]and B = [-2 2 s].

A: Given: A=1r1 and B=-22s. To find a value of r and s so that ABT=0. Solution: We have, A=1r1 and…

Q: These equations can be solved to give [Q] [0.7321 0.2679 0.1964 0.0714 0.0536 0.0178]. comoo 200--0

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Q: For which values of a and m does ax = 1 have a solution in Zm?

A: Claim:

Q: Given that m ∠1 = (2x + 47)° and m ∠3 = (3x + 40)°, prove that m ∠1 = 61° by constructing a…

A: see below the explanation

Q: if z1 = i and z2= -(3)^O.5 – i.find the arguments for the quotient Зп/4 О Ti/3 O T/4 O 4n/3 O

A: Given: z1=i     and z2=-30.5-i                                  To find the argument for quotient

Q: ax +be

A: As per company guidelines we can solve first question. I hope that the given solution will help you.…

Q: 2 Given that m <1 = (2x + 47)° and m 23 = (3x + 40)°, prove that m 21 = 61° by constructing a…

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Q: verify the given equation. 16.∞∑n=0an(x−1)n+1=∞∑n=1an−1(x−1)n

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Q: EX.2.48: Nine people are going on a skiing trip in 3 cars that hold 2, 4, and 5 passengers,…

A: Total People = 9 Cars can hold 2, 4 and 5 passengers respectively Possibility of sharing the cars…

Q: f A=6i+4j-k and B=7i-j+8k, what is R= A+B? If A=6i+4j-k and B=7i-j+8k, the R=A.B

A: Given, A=6i+4j-kB=7i-j+8k

Q: Solve For B = 3 the 2 1 20 -3 inverse op matr 1 2

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Q: Suppose z = 7+-8i and w = 9+7i. Then Re (2)=? %3D

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Q: Refer to the figure for #3-4. Given AABC = AXYZ 3. Find mLZ 27 32° 14 -. Find AC 56 A C Y

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Q: Amber solved for m and found it to be equal to 36. If she is correct, clarify what postulate or…

A: Amber solved for m and found it to be equal to 36. If she is correct, then to clarify what postulate…

Q: Express in lowest terms. 27a-1 9a-6a +1 0 1 2 За-1 O 9a? +3a+1 За-1 NEXT QUESTION ASK FOR HELP

A: The objective is to express the given expression in lowest terms.

Q: Solve the following re is correct with a proo a = 3 with a = a -1 +2k for all

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Q: If AC = x+ 11, and AB = 20 solve for x. B

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Q: a) The proof is by contradiction. So we begin by supposing that z + _ and w # _ _ (which is the…

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Q: 3. Show that (1+i) = 2i

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Q: Assuming x E Z. Prove 2|(x – 6x + 5) → 2}x a|b b = ke Z a 6. = 2 € Z 3 3|6 is True because 4 3+ 4…

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Q: 5. If Z1 = V3 – 2i, Z2 = -i+1 and Z3 = 4i – 2. Evaluate (i) Re{3Z} – 5Z7 + 2Z}} (ii) |(1+ Z2+ Z3)(i…

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Q: Which of the following are the solutions of cotx+ 2 = 2 cscx on the interval [0, 2n)? 2 0, я * 37 2'…

A: Question is solved.

Q: Q1: Solve the following PED: ди ди = д1 ?х2 15x5/1/201 if u (x, 0) = 2x when 05x5

A: Solution 1: Given PDE is ∂u∂t=∂2u∂t2                   (1) u(x,0)=2x,   0≤x≤l2 By variable separable…

Q: For which positive numbers a is it true that ax >= 1+x for all x?

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Q: 2) × if it was 2+4i and 2=3-1 3+1 2+i 2 prove that x² + 3xy + y² = 6 =

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Q: Complete the following proof. 6. Given: 8x - 5 = 2x +1 Prove: x = 1 Proof Statements Reasons a. 8x…

A: Given that: 8x-5=2x+1

Q: Now we assume that P(r) is true, that is, r can be written as a sum of 3s and 5s, for any cases,…

A: We are given a statement and its proof. We need to answer two questions about the proof. More…

Q: he following problem using d) 1/3 +3/8

A: Introduction: The formula for Simpson's 13rd is given by,…

Q: 1. Prove that C(n, r) = n!/r!(n – r)!

A: Since you have asked multiple questions we will solve the first question for you. If you want to be…

Q: Solve the equation for x. 7 7 4x det 0 8 -9 = - 123 %3D 9 -9

A: To find: The value of x. Given information: det74x5 08-9 9-9x=-123

Q: Q4: Answer two only: 4 2 2 -2 Find AB and AC. A): If A = 01 0; 1 -1 1. 2 B = 2 -1 3 -2 2 4-1711 -2…

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Q: Find the value of n that will make each of these equations true. 1. n-7=30 2. n-6=8 3. 5n = 25 %3D n…

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Q: Given that P(z-M)-0 wherei(1LO(1-20andP and Q are real constants. Write down in a form a+bi and find…

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Q: Suppose z-2z +x=5, What is the value of y ? | - 3 3 0 3i nim

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Q: Solve the following 9(x + 6)² – 7 = 18 -49 аnd 9 -59 x = O x = 23 and 13 3 3 Ox = ±10 O x = 13 and…

A: The given equation is: 9(x+6)2-7=18 To solve the equation that is to find the value of x.

Q: SOlve the following LDES. Answer must be Integer 2. 4 メ' *; x lo) = () %3D -1 6 4t bt +1 4t Ans : X…

A: Hello, thanks for your question but according to our policy I am answering the very first question.…

Q: By using Newton Raphson Method, the repeated root of 4x^3-8x^2-3x+9=0 using 2 as Xn is? O 1.6 1.55…

A: Given equation is 4x3 -8x2 -3x+9=0 Take fx = 4x3 -8x2 -3x+9 First derivative of f(x) is fx = 4x3…

Q: Solve for v. 41 24v If there is more than one solution, separate them with commas. If there is no…

A: SOLUTION-

Q: I. Solve the following to Notation z = x + iy 1. In(-7) 2. z = i Z1 3. For Z, = 8+ 3i ; Z2 = 9 – 2i…

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Q: if z1 = i and z2= -(3)^O.5 – i find the arguments for the quotient Зп/4 О Tt/3 O T1/4 O п/4 4T/3 O

A: The polar form of a complex number is: z=rcosθ+isinθ Where, r=x2+y2 x=rcosθ y=rsinθ The argument is…

Q: 2. Prove that if alc and a + b = c, then alb. 3. Show that if 2a + 1 is a multiple of 5, then 14a² +…

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Q: Solve the followings: 1- if zl=2+3i, z2=-1+i and 23=3-2i, give an expression for zlz2 + (23).

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Q: • b. Σ n =1 3n – 1 -

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Q: 4. If OR = 6x + 1, PR = 14x – 13, and PQ = 5x - 2, find PR. DOC 200 & 7. 8. 9. CO

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Q: Find all possible pairs of integers x, y so that 7x + 3y = 4. Then find which of these pairs makes…

A: Given:   7x+3y=4                        ........(1) We have to find all possible pairs of integers…

Q: Σ 2n+1 3h 1 19 n=1 bh 4n+1 4

A: We proceed on to simplify the given series as  ∑n=1∞2n+1bn+3n4n+1=1942∑i=1∞2bn+14∑i=1∞34n=194

Q: For which values of a does ax = 1 have a solution inZ6?

A: Z5=0,1,2,3,4,5ax=1If a=0, then 0x=1⇒ No solution.If a=1, then 1x=1⇒One solution,x=1