6. Show directly that inf(B) = 1 for B {N =: 4+1} -

Q: Solve for r: In(x) + In(x + 2) = 3

A: Use the properties of lograthim and simplify.

Q: What is the coefficient of the x^7y^4 in the expansion of (x+y)^11

A:

Q: (11) Let X = n(µ,4) and Var(2x) = E(4– 7x) find u.

A:

Q: D. Show that if a, = 3n³ - 17n² + 2n - 6, then an O(n³).

A:

Q: 28x+4y+kz -10 -5x-8y-4z = -2 e must have, k +|

A: The given system of equation is: - 6x + 4y + 7z = 3 28x + 4y  + kz = -10 - 5x - 8y - 4z = -2

Q: 2. {x|x = -29° + n360°} = {x|x = 331° + n360°} where n is any interger.

A: (2) Given- x|x=-29°+n360°=x|x=331°+n360° To find- The above statement is correct or not.

Q: -3 2. Evaluate: V12-피 + z dar 0,

A:

Q: A factory received a shipment of 11 lightbulbs, and the vendor who sold the items knows there are 3…

A: Given in the question: Total bulbs, N = 11 Defective bulbs, x = 3 Now we will calculate the sample…

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: n is increasing, and those on w 3x + 5.

A: Introduction: The input values of a function f(x) where f(x) has minimum or maximum values are…

Q: 00 8tan-in Zn=1 n3D1 1+n2

A:

Q: 1 Evaluate [ (x² + --- e2x +c 2 a) + In x+ b) 3 +C 3 e2x .3 c) + In x- d) + In x - 3 +c +c 2 2

A: We know  (1) integration of Xn dx =  Xn+1 / (n+1)  + C  (2) integration of emx dx = emx / m + C  (3)…

Q: (3) Let X = n(u, 4) and Var(2x) = E(4 – 7x) find µ.

A: Given X is normal distribution with  mean =μVaraince σ2=4Standard deviation =4=2 If X has Variance…

Q: in n k k-1 k (n+1\ \k-1) D+1 k+1 Pn+1 k

A:

Q: 2. The physicist Frank Benford noticed in the 1930s that, for many sets of numbers in the real…

A: Hi there! I see there are more than three sub parts in the question. According to our polocies can…

Q: BELL RINGER 1. V2k2 - 9 - x = 0 If k>0 and x=3 in the equation abové, what is k?

A:

Q: D. Show that if an 3n3 - 17n2 + 2n - 6, then a, = O(n³).

A:

Q: Show that n*-n3.5+300n + 234n²log n³ + nVn10 e 0(n*)

A:

Q: Show that for any 1 ≤k≤n. T (1) = n²(n²-1²)...(n² (k − 1)²) 1.3.5 (2k-1)

A:

Q: 6. Find f'(1) if Ax) = nx

A:

Q: Find L {(2t" – 3)° } . | O 4(2n)! 2n+1 12(n!) + sn+1 4(2n)! g2n+1 [ 2(n!) 8n+1 O 4(n²)! 12n! 9.…

A:

Q: (-1)"n²(x+3)" 2. 5n n=1

A: Radius of convergence

Q: A national consumers’ association determines that x years after its founding in 1998, it will have…

A: Given: P(x)=2x3-45x2+264x(a) Since between 2000 and 2013 (2≤x≤15)P'(x)=ddx(2x3-45x2+264x)We know…

Q: x2-2 x+1 x2 --x-In Ix+11 + C C. + x- In Ix+ 11+C x2 -x + In Ix + 11 + C 2 +x + In Ix+ 11 + C O B

A:

Q: S十4 ナ3y = n %3D

A:

Q: that for n > k we Sn+1 ||

A: The expression given is ,  n+1k+1=∑j=knnn-jjk The number of ways to partition n+1 objects into k+1…

Q: Suppose m> n. Show that L x"

A:

Q: If m*n Denofes -3伝 + Find the 2mn?

A: Given that m*n=2m-n2 therefore -3*5=2-3-52

Q: Show that 3n2+8nlogn is big-Oh (n²)

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 4 The value of 3n2 will be + 6n .... n=1

A: We use partial fraction method to find the required sum of the series.

Q: Show by two methods one algebraic and one combinatorial that: ΣΗ (E) (-) = (m*") -k=0

A:

Q: B (m,n) =. x"-1 (1-x)n-1dx صوابه

A: TRUE

Q: Suppose O1 is twice as likely as O4, O1 is equally as likely as O2, O5 is 5 times as likely as O2,…

A:

Q: Describe the long run behavior of f(n) = 3n – 4n³ – 5n° + 5 As n → - 0, f(n) → ? As n → o, f(n) → ?

A:

Q: Gives a farme of v2 to within 10-3 Gives a farme of v5 to within 10-2

A:

Q: A production manager determines that t months after production on a new product begins,  the number…

A:

Q: The average pollen count in a certain city on day x of the pollen season is P(x) = 6x − 0.2x2  (for…

A:

Q: Consider the following LP Min z= 3x, + 2.x, +7x, s.t - x, +x, =10 -2x, + x, - x, <-10 X,,X,,X, 2 0…

A: In the given LP problem when we solve it via simplex method, we use a series of tableaus.

Q: If (ar + bx) = 4n and n+1 k-1 (ak-br) = then ar = n+2 k=1 k-1

A:

Q: solve for t

A: Given equation: eln2t=12

Q: c) Let 8₁ X₁+2X₂+2X-X and 8₂=(X₁ + X₂ + X3 + X₁) be two unbiased estimators of 6. Which one of the…

A: Given X~Pois(θ) Mean=variance=θ  X1,X2,..Xn be the independent V(X1+X2+..+Xn)=V(X1)+V(X2)+..+V(Xn)…

Q: 2+4+... +n lim 7n2 + yn

A: limn→∞2+4+....+n7n2+n

Q: Find the radius of convergence and interval of convergence of  Σ 1 to infinity…

A: Find the radius of convergence and interval of convergence of given infinite series.

Q: If y = (5x + 1)(2x¯1 – In 7), then y' will be (5x + 1) (금+)+ 5(2x1-In 7) A. B. (5x + 1) (--) + 5(2xt…

A:

Q: 2 O Expand Pn = 2x +3x +) in Term of P.f,.

A:

Q: #02:-Discuss all the cases of reducible to hamggenou D.E form.

A:

Q: 8. Working over R, suppose that M = PDP ' where P 1 Then, for any positive integer k, we have that…

A: To find Mk =?

Q: 4. Prove that n(3n – 1)r x + 4x + 7x + ... + (3п - 2)x for n e N.

A:

Q: 5x + 1 If y = then y' will be %3D 2x-1 – In 7' 5(2x** – In 7) – (Sx + 1)+) A. (2x- – In 7)2 5(2x-' –…

A: Given y = 5x + 12x-1 - ln 7

Q: 6n_ and If (ar + bx) = n+1 k-1 , then 1 (ak – br) = 712 n+2 k-1 k-1

A: If ∑k=1nak+bk=6nn+1 .......................(1)  and  ∑k=1nak-bk=nn+2-1n ......................(2) we…