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

Q: ds if s = Find dt 7t + 3 ds dt II

A: We have given;

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

A: we need to evaluate the integration over the region using the triple integral. First we will find…

Q: 3n³ + 20n² + 5 is O(n³)

A: Given: The given expression is 3n3+20n2+5 is 0(n3),

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

A:

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

A:

Q: Show that 1/2 ( Tn + Mn ) = T 2n

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: 6. Show that, for integer s, S. s! | x25+lexp(-ax²)dx =: 2a +1

A: Note: Given proof statement has a little mistake, I have proof the actual result. First i have…

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

A: See solution below

Q: 1 Show that 2-* d.x 2 In 2

A: We can show the answer in the following steps.

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: Let floor(1) + floor(1/2) + floor(1/3) + …· + floor(1/n) = ceiling(0/1) + ceiling(1/2) +…

A:

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

A:

Q: Σ n=1 5n Vn3 +1

A:

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

A:

Q: Determine if S3 e S3 is solvable.

A:

Q: Question 3. Show that n3 + 4n2 +1 O(n²). %3D n+3

A: See the attachment

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

A:

Q: 2. The exact value of sec 57 is O2 2V3 -2 2V3 3

A:

Q: 1 Show that xn-m)}-2X(2). assu me. Zera 1c

A: As per the company's rule, we are supposed to solve one problem or three subparts. As there are two…

Q: If E(0) = 0 then is said to be a(n)

A: if Eθ^=θ then θ^ is said to be unbiased estimate for θ.

Q: D If/2ty -P and 25=n(ytoc) n-T s in terms of n and P express only MS

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

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).

A:

Q: Suppose we observe X1, X2, ..., X U (0, 1). Show that nX(1) 4 Exp(1). с.

A:

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

A:

Q: Show that for all n e Z, n? – 3n +17 2. -

A: Given: For all n∈ℤ, n2-3n+1≠2

Q: What is the εa of the fourth iteration of the equation x3 – 9x + 1 = 0 using Regula Falsi. Assume an…

A: To find the root of the equation fx=0 in the interval x0,x1 by Regula Falsi method, use the formula…

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

A:

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: Question 9 Is 2n² + 12n + 18 equivalent to (2n + 6) (n + 3)? True O False Question 10 Is 12n + 18…

A: Note - ( As you asked multiple questions , According to our guidelines we will answer first three…

Q: 5) Find NV ir ZN -- 20 7) Find DW if YW-4

A: Consider that the centroid divides the median in the ratio 2:1 (5) ZNNV=2120NV=21NV=202NV=10

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: 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: 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: 5. Solve the problem kuxx = xt, u(x,0) = 0, u₁(x,0) = e, Utt - kuxx -∞ 0 ∞ < x < ∞ ∞<x<∞ -

A: Given is the pde. The objective is to find the solution. The solution is for this type of pde is…

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: السؤال 1 12 .a 2n cO 2 ndO

A:

Q: Show that for any n E N, n(n + 1)(2n + 1) %3D k=0

A:

Q: al solution of - uy = 0 is O is *+c,e¯*)(c

A:

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

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: 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: