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Q: - а, ь, с € R CER polynor = x° + ax

A: f(x)=x3 +ax2 +bx+c0=-23 +4a-b+c0=-8+4a-2b+c4a-2b+c=8

Q: 2, Choose give Single digit positive in te gor f them' and the mean me

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Q: Show that the mogping LiPaRI-+IR L Carcaxtat = (asta, on) is liher trasfaret

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Q: A. Prove by direct proof formal. -p -(q vr) →p P: OR B. Prove by direct proof general.

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Q: QI Determine a condition on Ix - 11 that will assure that |a* – 1|< 2

A: Given,x4-1&lt;12

Q: 3. Prove or disprove (x, y are real numbers a) [x- y] = [x] – by] TRUE FALSE because:

A: Introduction: The integer, that is largest and less than or equal to the number a is known as floor…

Q: Kample tetx be Let X€2Z. Prove that for cveri integer n2 , x^is cuen × is aven 2.

A: Yes, for n greater than or equal 2(n is a positive integer) if x is even then x^n will also be even.…

Q: 3Prive that tan'u. _ du 144?

A: We will differentiate the problem with respect to X. We will use China Rule formula to solve the…

Q: Express the following statement in the language LNN: No sum of two positive cubes is itself a cube.

A: According to Fermat's last theorem, Equation an+bn=cn for n&gt;2 cannot be satisfies for positive…

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: A postulate is a statement or concept that is generally accepted among mathematicians but is not…

A: Given query is to find the statement is true or false .

Q: What are the values for x1, x2 and x3? O x1-500 ; x2-57.78, x3-175.56 O x1-500; x2=-175.56, x3-57.78…

A: We have given optimization table and we have to find the values of variables that maximize the…

Q: Let S be the s

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Q: Find the interval of En=o 2"(z – 3)" O (3.5, 0) O (2.5, 0) O (2.5, 3.5) O (2, 3)

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Q: Find the interval of En=0 2" (z – 3)" O (2.5, 3.5) O (2, 3) ( (3.5, 0) O(2.5, 0)

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Q: 4. Prove that C, = ,C4 (Hint: Algebraically show that the Left Side = Right Side)

A: We know that  Cr n= Crn = Crn = (n)!(r)! × (n-r)!

Q: 3. Is this sentence consistent? “There is someone who loves exactly those people who do not love…

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Q: Show that 100 1 arctan(100) – arctan(2) + Σ 1 < arctan(100) – arctan(2) + 1+ 22 1+ 1002 1+ k2 k=2 WI

A: Note that the function f(x)=11+x2 is a monotone decreasing function, i.e., f(x1)&gt;f(x2) whenever…

Q: Prove that -iEnt/th 1(0)

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Q: Chow that ॥२ + १n + 3 (nt) (2nt3)(2nt5) (nt 4) 36

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Q: If x>-I show Hhat Cl+x)> \+nx ,H

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Q: In a study of pain relievers, 20 people were given product A, and all but 6 experienced relief. In…

A: Descriptive statistics helps to organize, summarize, and helps to present the data in the…

Q: The relation by a = b (modn) is Partial Order Relation Ture O False O

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Q: EIf a,,a,,a,.--,a, be an A P of non - zero terms, prove that ------ 1 1 +. 1 n-1 %3D a,a, a,a, a,a,

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Q: Zuli] is an integral domain with : 49 elements O 6 elements O 9 elements O 121 elements

A: Consider the provided question, we need to find the,  Z11i is an integral domain with how many…

Q: É(3k – 1) k= 1

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Q: poundedness and the closedness are not opological properties because * O Ris homeomorphic to ]-00,…

A: A property of a topological space is called a homeomorphic property if it remains invariant under…

Q: If delta is large according to Cohen's classificantion, then the difference between u1 and u0 is…

A: Given that - If delta is large according to Cohen's classificantion, then the difference between u1…

Q: 2. Prove ΣΫ; = Y 3 Prono ΓΥΠ |

A: Let X be a Random variable with a Probability density function or probability mass function f(x)…

Q: Evaluate: 5 tan (z) dz =. O 5tan(z) – z +C O 5cot(z) – 5z +C O 5tan(z) – 5+C O 5 tan(z) – 5z+C O - 5…

A: Given: I=∫5tan2xdx We know that 1+tan2x=sec2x…

Q: A pseudoprim True/False: TH

A: Given: A Pseudoprime is a number m such that m|(am-1-1) for some base a

Q: When are ~o attributesJaid to be positively assOCiated and nep'tive1y associated? Also define…

A: In the theory of attributes , the attributes A and B are said to be associated with each other only…

Q: ) that Prnve Seck -1

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Show that (AUB) - (ANB) - CA-B) U (R- A) using laws of Bers.

A: The given question is solved below.

Q: Use Lemma 5.4.3 to find RT if RS 6 and VR = 4.

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Q: onexomple Oneta not in RR

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Q: Fnd repe of chonge ol cla drea A, sirel eireumferna (ie

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Q: let t={usx8 x-uiscoantableiuioi then Tis called Tcof

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Q: 2 If A = 22 and B = -70 6. 10 , verify that B = s-AS, where s = -19

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Q: Prove: ДАВС — ДCDA %23

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Q: 521 End Adi A R A-

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Q: n Show that (") = (,“,) n-r.

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Q: and y If a = -, then æ =

A: The value of angle is  α =-π3 To evaluate : the terminal point Px,y on unit circle.

Q: 81: Without evaluoting, show directly * = ? satiefy 2. %3D 2 -5

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Q: 10. Show that F; := 2²' + 1 is composite via Pepin's Test.

A: ......(1) Here we are given the 7th Fermat number. We need to show that, 3F7-12≢-1(mod F7)

Q: Consider the folowing diforential eguaion %3D Solve the diffirential rquation

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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…