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Q: Suppose that E and F are points on the number line. If EF = 20 and Elies at 4, where could F be…

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Q: HiW #L مار مرف المصار let xbe apiv With Pef x70 Fnal the

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Q: Find the roots Lzerel of eah tunction and State tHhe multipicty of any veputed root - 니 2x

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Q: Suppose that Y and Z are points on the number line. If YZ = 11 and Y lies at , where could Z be…

A: Given query is to find the location of Z

Q: Show by contraposition that for any real number x if - 5 < x< 4 then x2+x – 20 < 0

A: For the solution follow the next step.

Q: Prove by direct proof that any integer n ≥ 3 can be part of a Déjà vu Pair n = [11 · · · 1]b for…

A: Given: Any integer n≥3 can be part of a Déjà vu Pair n=11...1b for some base b≥2.   To prove: The…

Q: simpfly. all postive exponets and assume all numbers are postive, real numbers.  (z^3 x)^1/6 over…

A: Given,

Q: Contruct te compesite toafezoidal ond Comporte fipsors s Raber For a and aftply these on n= 4 by…

A: In trapezoidal method the value of integral is given by:…

Q: Show with mathemotical inductioan that For each integer nz 4 applies, 8n tht 2" 2.3" this funetion…

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Q: Prove by Contrapositive: "For all integers a and b, if a+b is odd then a is odd or b is odd."

A: The method of contraposition is one of the basic methods to a mathematical statement that includes…

Q: Use a direct proof to show that if a and b are positive integers, then +> 2. Hint: Rewrite the…

A: We are given that a and b are positive integers, that means, a≥0 and b≥0 Now, the square of any…

Q: Use direct proof to prove the following statements. 1. If x is an odd integer, the x2 +3x +5 is odd.…

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Q: If a, bEZ such that a b then the numbers a and b are called relatively prime numbers if ged (a, b)…

A: True

Q: 6. Use a direct proof to show that if a and b are positive integers, then +2 2. Hint: Rewrite the…

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Q: Juppose that the Mumber On ole det Bively by ogas for all nz2. Show that Oh= 2 +3( recu true for…

A: true

Q: ind the general so lution of the differlential eguation

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Q: show that for eury A s integer nz3; A n- Am-2 +A2J. Mence determine ASO.

A: To show: That An=An-2+A2-I for n≥3 then find A50. Given: The matrix is A=100101010. Calculation:…

Q: 4. Describe all zero-divisors and units of Z6 O ZOQ

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Q: Prove by contradiction that 8√2/ 7 is irrational. ( 8 root 2 by 7)

A: To prove  827  is irrational, We have to show that 2 is irrational, As we know that when multiple…

Q: 1) Coirect Proo8) Fove that the produck of two whsecutive integers ís divisible by 2. 2. (indirect…

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Q: 23. Prove that any integers a,9(a?-3)

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Q: 6. Show that Vz eC i) z-7 is a real number. ii) (z-2) is a real number.

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Q: Consider the following statement. Is there an integer that has a remainder of 2 when it is divided…

A: The statement " Is there an integer that has a remainder of 2 when it is divided by 5 and a…

Q: Write down the supremum of the set {7+ 7/n2 − 5/m | n,m ∈ N}. prove ur answer from the definition.

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Q: How many ways Com you orenge lo buks bokishelfthat fhes Apace for that has space for only on a 5…

A: This is the problem of permutation and combination. So, there are 5 places for 10 books on the…

Q: Suppose that m andn are positive integers and b is a real number so that the principal n" root of b…

A: We have been given that nth root of b exists where b is the real number.

Q: True or False: There are integers x, y such that 15 = 215x + 497y. O True O False

A:

Q: ex: Find the humber of integers between 4 and loo that end with 3 or 5 Date. No.

A: To find:- Number of integers between 4 and 100 that end with 3 or 5

Q: let s be positive integer, then (2) + (;) = %3D

A: sC5 = s!/5!*(s-5!) And sC6 = s!/6!*(s-6)!

Q: Prove that: 4 If 2x, 21000 then x, 2 300 or x22 200 or x3 2400 or x4 2 100. %3D1 HINT: Use…

A: Solution is given below

Q: 2. Possible whenn A- Zero b. Negutive integer C- Negative Yational d- Positive integer

A: We know that Laplace transform of

Q: Let, a1 = 3, a2 = 4 and for n > 3, an = 2an-1 +an-2 +n², express an in terms of n. %3D

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Q: Say whether the Runction is even, odd, or neither. Give reusans for your dnswer. go0 = x"+x-1

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

Q: Prove by contrapositive that if 7x+9 is even , then x is odd

A: Prove by contrapositive that if 7x+9 is even then'x' is odd = proof by contrapositive suppise 'x' is…

Q: 4. Prove that the cube of any integer can be written as the difference of Notice that squ n³ = (1³ +…

A: To prove that cube of any integer can be written as the difference of two sqaures.we have given hint…

Q: 2. Show that if a is an integer other than 0, then a) 1 divides a h) a divides 0

A:

Q: L) Prove that (3-2)(x+2) = 3 +21 iFitwas

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Q: Consider the following theorem: "The sum of two even integers is even." Rewrite the theorem as a…

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Q: 1 The l arg est term in the exp ansion of (1 + x)9 when x = -is? 5th 6th 7th 8th

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: Aiden proposes, that the produçt of two ie eant irrational' nu mbers is always irratlonal Select the…

A: product of two irrational can be rational no.

Q: If z < o when -0, then 2 is one of the even numbers that is an odd number. O True

A: NOTE- AS  WE ARE ALLOWED TO ANSWER ONE QUESTION IN ONE SESSION SO, I HAVE ANSWERED FIRST QUESTION…

Q: Nadia would like to use the AAS Congrue prove that ATIS = AITH. Would knowing th enough information…

A: Given that:

Q: Find the number of four non-negative integer ordered tuples (x1, x2, x3, x4) such that xi + x2 + ¤3…

A: The Number of non negative integral solutions of x1+x2+…………+xn=r, where each of xi≥0 is given by…

Q: What are the values of integers m are n such that gcd(224, 1715) = 224m + 1715n? (express your…

A:

Q: such

A: Given: 165x2-21y2=19

Q: De langrange muitiplrers to finch three positive numbers wnosiSum is 150 and whos produt Use is…

A: Bu using the Lagrange multipliers we have to find the three positive numbers whose sum is 150 and…

Q: tet r and m be integer, prove that 17/20+3m iff, 17/9n

A: Solution

Q: If geRfabland if hex)=gox) except fos of finive number of number Point in fab?, then prove…

A: The given partition should be first divided into finite partitions.

Q: Consic and b whose divisic demor exist r

A: let R=ℤ-2 function is defined as da+bx=a2+b2 and dxy=dxdy now, for x,y∈ℤ-2  xy-1∈ℚ-2 then, for s,t∈ℚ…