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

Q: 13.Show that the third-order Adams-Moulton formula is yn+1=yn+h12(5fn+1+8fn−fn−1).

A:

Q: 16. x-By o 4x+25 1t. ax-3731 -Cx+ayー3

A:

Q: 1 Suppose A = 0. where A = (1 a1 a2) and 1 E N(A) and 2 a. a1 = -2 O b. a1 = 1 O c. aj = -0.5 O d.…

A:

Q: 4.1c. Show that the product of two integers that can be represented by x2 +dy?, is always another…

A: Prove that the product of two integers of the form x2+dy2 is always of the form x2+dy2. Consider two…

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: 3- S e J coscinx) d

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Q: 4 The value of 2 n=1 3n2 will be + 6n .... .

A: See solution below

Q: If сх 3D су (тod n) and c >0 then а) х 3Dу (тоd сп) Ь) х%3D у (тod n) с) хну (тod") а) None of thes-

A: We have to solve given problem:

Q: Show that x +2 and oe) = *+6

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Q: O Calculate the d eterminant of [I 30 2 -2 -5 7 4 3521 7-1 2 -3

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

Q: The solution of e² = - 11 has the form x + ily + 2nn) where n is an integer. What is the value of x?…

A: The given equation is                                                ez=-11

Q: 7. Find k > 0 and m E N so that 6n3 + 17n m.

A: The solution of given problem as follows :

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

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Q: Σ n=1 5n Vn3 +1

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Q: Find a formula for sn, n > 1, if s, is given by 2 3 4 6 - - - 3' 5'7' 9 ' 11

A: We have to find Sn

Q: 5. Show that b, is always positive, by establishing the equation (Qn-1,Qn-1) (Qn-2,Qn-2) b,

A: We will apply the properties of inner-product to prove the given statement.

Q: 5) Show that n(n+1)(4n-1) E"=1 r(2r – 1) 6 Hence find E015 r(2r – 1) |

A:

Q: a) Show that E-o(-1)*(")=0, and then verify that () + C) + C') + -- - C) + (") + (") + -- .. b)…

A:

Q: In 3 et dt 49 + e2t A) 0.263 B) 0.038 C) 0.022 D) -0.038

A: Here I am attaching image so that you understand each and every step.

Q: The number of the element(s) of order 2 in Z2 O D6

A:

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

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

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Q: d) solve to 1l o wing equan on. the differenti al 2 dy 3y = 3 n2 + 5 %3D

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Q: (-1)" -Σ S. n=1 Vn+1

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Q: 3 In ADU DDL =9mm. Z/=6mmand //=N". Find FD. 3

A: By using the cosine rule we can can find the third side of triangle if we have given the two sides…

Q: Evaluate S, 5y²dV where E is the reqion below x + 3y + 6z = 9 in E the first octant.

A:

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

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Q: nx) in the E 2n is

A:

Q: 23 1 dr Evaluate - Express your answers in the form: Axm + Br" + DxP.

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Q: 5. (BH) Calculate det B, where 0. 4 1 1 В — 1 -2 4 -1 2 1 -1 0 7

A:

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: 34) Ź (K²_2K) is e (n3) Ź ķ? ビ=3 Ź 2K = k=3 ntro)(2n+1), entntt) Sungs are さ。 2n3+ 3n?+n – ant- Gn…

A: We have solve the given  problem

Q: 2. Show that coo(N) co(N) § c(N) Ę e^(N).

A: To prove that c00N⊂c0N⊂cN⊂l∞N. By definition, c00=x∈lp|all but finitely many xj's are zeroc=x∈l∞|xj…

Q: Verify that the Diophantine equation x² + y² where d'(n) and d"(n) are the numbers of positive…

A: We will first show that product of two square numbers can be expressed as a sum of two square…

Q: 13 + 33 + 53 + + (2n – 1)3 = n²(2n² – 1) - ... Ensure that you explain the steps taken.

A:

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

A:

Q: 너 ()- 3s %3D O 3te-24 O 3e-24 (1 + 2t) O 3e-24 (1 – 21) O 3e (1 + 21) O n (금) O 6te2 O 31e2

A:

Q: a. 2,526sinx + 2,526cosx Yp 29 b. yp 89 3 M 7,930sinx + 7,753cosx 91 3 = c. Yp 3,290sinx +7,753 cosx…

A: We will find the particular integral.

Q: For xn = 5n² + 9n³ + 1, an = en = n², prove or disprove: an = O(an) (n → 0)?

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Q: The solution of e = -has the form x + i (y + 2nn) where n is an integer. What is the value of x?…

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Q: If z3 + In(e 2 -2 e+e) = 0 az find at the point (0,0) O -3 0 3 О-2 O 2

A:

Q: 26. If z = In(x² +y²), find x- ду Əx A) х с) у в) х-у D) 0

A: If z=ln(x2+y2), We need to find x∂z∂y-y∂z∂x.

Q: Write equation for each ellipse

A:

Q: If s(n)=3n2−3n+5s(n)=3n2−3n+5, then s(n)=2s(n−1)−s(n−2)+cs(n)=2s(n−1)−s(n−2)+c for all integers…

A: Function represents the relation between dependent variable and independent variable. Function…

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

A:

Q: 4. Show that: do Tb/(a? – b²) - a+bcos0 а b2 Where a>b>0 such that * -1+ 1. < 1 - a²

A: To Show: ∫0πdθa+bcosθ=πba2-b2 Concept: i. 1+tan2x=sec2xii. cos x=1-tan2x21+tan2x2iii.…