Prae that x4 -5x +3 is ineducible ouer Q

Q: Q3 Prove that In Coth x 1

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Q: Write out explicitly and simplity possible as h= 5 n!

A: ∑n=0n=5 n2n!=?

Q: 2x + 5y + 7z is a binomial. O True False re to search

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Q: (2) |R| = |2N].

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Q: Do not use a calculator in this question. (4 V5 – 2)? V5 – 1 CamScanner로 스캔하기 Express in the form…

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Q: se for all integers nz2, tity = to shaw that for all integer

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Q: Show that (n+1)Pn+1(x) = (2n + 1)xp,(x) – npr-1(x) ;n> 1? %3D

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Q: Let 21 = 2+ j3 and z 4 j5. Evaluate

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Q: What statement could be used to prove that m f n?

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Q: is a solution of 2x-6x2+7x-33D0. 2 Prove that x 1-

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Q: Use proof by contradiction approach to prove that VxM) V N(X)

A: This is a problem of Predicate Logic.

Q: Solve the initi al value pro blem:s' (x)=Seckta nx-2X1F(0 23

A: Given: Initial value problem f'(x)=secxtanx-2x f(0)=3 Formula used: ∫secx tanx dx=sec…

Q: Ive for æ if In(x? – 1) = 0.

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Q: ind the general so lution of the differlential eguation

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Q: Q5: Define nilpotent element. Are 1 and 3 nilpotent elements of Z9?

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Q: Use proof by contradiction to prove that if x + y > 2, then x > 1or y > 1 (or both).

A: The method of contradiction is used to prove a statement or a set of statements. The inverse of the…

Q: evaluate nCx px qn-x  for n=5 x=2 p= 1/2

A: Given: n=5 , x=2 , p= 1/2 We need to find, nCx  px  qn- x We know that, nCx= n!/[(n-x)!(r)!] q= 1-p

Q: (b) Show that o = 2[Rx(0) - Rxx(0)] XX

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Q: Q5 Show that EL >². n n =1

A: Consider that x is a random variable. From the formula of population variance;

Q: Show that V12 is irrational

A: A Rational Number is a number that can be written in terms of P/Q.  An irrational number can not be…

Q: 1. • If r + 1| < o, prove that |r³ + 1| < 0.331.

A: Here we use the fact  | x |&lt; a implies  -a&lt; x &lt; a .

Q: Let fi RR and by ,gln)= geRaR f(n)=D2n2-3 to EXomine whether fog Ond

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Q: MOse the intermediate value Fun ction to Show that ex=3X Somewhere between X=0 and X=1.

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Q: O fend the values ofxlat which the fallocwing funchrons afe daanhin unus Pcx-ペースXー+3 fcx)= none none…

A: We have to find the point of discontinuity.

Q: Pebermine x and such that -4 3 -4 -4 -3 4 -8 4 -4 -2 3. 3. OC

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Q: 2. Find p and q such that |5x - 2| ≤4 implies Ps 23x-4 5 ≤q.

A: Given |5x-2|≤4

Q: show that V2+V5 is irrational num ber

A: Solve the following

Q: So 3 Vit7x dx U-substiutson.

A: Use u substitutions to integration

Q: If fu)=3Xtl, what is f (5)? 1,4,9,14,25 what ss t he next term in toseauene? W hat is the product af…

A: We have to find f(5), next term and multiple of given term.

Q: Prove that re" = 3 – x² for some negative value of x. [Hint: Use the IVT]

A: According to the given information it is required to prove that: xex=3−x2 for some negative value of…

Q: Show that r3 + 3x² – 8 is irreducible over Q.

A: Here Q is a field and f(x)= x³+3x²-8 is of degree 3. Then by ROOT TEST we can say that f is…

Q: Need help proving this     −z = (−1)z.

A: Same basic concept of Mathematics  Like  (-) *(-) = + (-) *(+) = -

Q: (b) Prove or disprove: f: 41o → Z20, [r|10 + + r2|20 is well defined.

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Q: Show that if n2 -3 is even, then n is odd. Prove by contrapositive For the toolbar, press ALT+F10…

A: We need to prove by contrapositive.  The contrapositive statement of "If p then q" is "If not q then…

Q: O irrational V23 x 4 is rational Back

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Q: n! Verify that Ex1+…+xr=n,xi20 r^n for any r, n>1 x1!x2!...xr!

A: Consider the given information. Let n is greater than equal to 1 arbitrary. Use the mathematical…

Q: Give a proof by cases that [4x] = [x] + [x + ¼ ]+ [x + ½ ] + [x + ¾ ] %3D

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Q: Express (2ry+ 2x- 1)-i (x2 - y-2y) as polynomial in the binomial argument z = x+ iy. O iz? + 2z + 1…

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Q: Supppose that X ~ N (2; 3). Find P (1 &lt; X &lt; 4).

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Q: Find the deravative $= In *1 2x3 Where x> o

A: f(x)=lnx2+12x3 We need to find the derivative of the given function.

Q: Let X~N(3,0²). Suppose that P(3<X<6)=0.4 · find P(X<0) ?

A: Given: X~N3, σ2 and P3&lt;X&lt;6=0.4.

Q: Prove that tanodo-n//2.

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Q: 2. Calcula con precisión n = 2 %3D x2 - 4x + 3.99999 = 0

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Q: Q4/ If A = 3 - l: prove A-A-5I = 0

A: Given that: A=213-1

Q: S 1+ Vxdx 3

A: We need to evaluate the integral

Q: Express (2.ry+ 2x - 1) – i (x2 – y? – 2y) as polynomial in the binomial argument z = r+ iy. O -iz? +…

A: Solution

Q: Q prove that it ņ is an integer and 3A+2is odd then nis add

A: Given : n is an integer (3n+2) is an odd integer To prove : n is an odd integer

Q: ues of p will 3x(4x+3)=-p have non-real root

A: Given Equation 3x4x+3=-p The value of p is found such that the equation has a non-real root.

Q: How do I subsitute X= Ztan into Ha):" ) How do I simphtiy asuming Ok Be

A: Solution : We have given a function fx = x4 + x2   To find : Substitute x = 2 tanθ into the given…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.