1) For each of the following processes, identify it using the notation SARIMA(p, d, q) × (P,D, Q)s. Make sure to specify p-, D-, 0-, and 0- coefficients, if any. (A) Quarterly process {X;}: Xt = 0.5X÷-1 + Xt-4 – 0.5Xt-5 + Zt – 0.3Zț-1 (B) Monthly 0.25Z{-13 {X;}: X; = Xt-1+Xt-12 – Xt-13 +Z¢ – 0.5Z;-1 – 0.5Z;-12 + process (C) Monthly process {Xt}: X¢ = 1.6X¢-1 – 0.7Xt-2 + 0.8Xt-12 – 1.28X;-13 + 0.56X;-14 +

Q: Find y'. y = (x2 - 2x + 2)(2x3 - x2 + 4) 10x4 - 20x3 + 18x2 + 4x - 8 O 2x4 - 16x3 + 18x2 + 4x - 8…

A: This question is based on Derivative of function.

Q: ine x and y such that -4 3 0 -4 + -3 x - y -1 -2 4 -4 3 2x + y

A:

Q: Given y =x2 -1, find A y. A 2r Ax+ Ax2 Ax2 C 2x Ax+ Ax²– 2 212+ 2x Ax+ Ax2-2

A: We will solve the problem

Q: For S = {3, 4}, find g(S) and g-1(g(S)).

A: Given that, S = {3, 4}

Q: If h(x) = 8x – 3, find 3[h(x)]² – 7 -

A: We know that- (a+b)2=a2+b2+2ab

Q: for ag(1-1) belongs (-7,x], (0,2%), (7,37] and (20x2, 22x]. find the Vale of lag (1-i).

A: log(z)=log|z|+iarg(z) If z=x+iy then z=x2+y2 and arg(z)=arctanyx Let z=1-i

Q: he closed form for an+1 3an + n² with ao = 1. Verify your result.

A:

Q: Show that an = 1/2n + 1 is decreasing.

A: Given: an=12n+1 Substitute 1 for n in the equation an=12n+1. a1=12(1)+1=13=0.333

Q: Evaluate. Use a capital C for any constant. 14(6z - 1) (62 - 2z - 1)° da %3D |

A: givenI=∫14(6x-1)(6x2-2x-1)9dx substitute 6x2-2x-1=uafter…

Q: Divide: -3+4x-x -7x+12 -6x+5 x-8x+15

A:

Q: 1 3 4 -3 -6 -7 A = %3D 3 3 -4 -5 -3 9

A:

Q: 2 v2x-x2 XY xydydx 0 0

A:

Q: 3x² – 36x² +33x = 3x(x² –12x+11) = 3x(x-11)(x-1) %3D %3D

A:

Q: Verify that x² +1 = (x² + v2x + 1)(x² – V2x + 1). %3D

A: **Since you have asked to solve question no. 42, you will solve that question.Question 42.We need to…

Q: a. A random variable X has the following probability distribution: 0 x 18 5 x 18 10 x 18 15 x 18 20…

A: Given, X 0 90 180 270 360 450 P(X=x) 0.1 2m 0.2 0.1 0.04 0.07 Here,…

Q: |x−4/3|≥3

A: In the question it is asked to solve the mod equation |x-43|≥3.

Q: Put the function Q= (t-2)(t+2) - (t+4)(t-1) in the form Q= it and state the value of k

A:

Q: Let P(x) be the interpolating polynomial for the data (0, 1), (1,3), (4, -3). Then P(2) = 3 4 -3 1

A: Here are 2 ways to solve find the solution In 2 method we will use this lagrange interpolation…

Q: What is the number of non-negative integer solutions of the equation a+b+c+d=3?

A:

Q: [o A = 2 -1 and C = 1 .2 2 -1 -1 AT + 3CT

A:

Q: 2. 7x' + 15x + 9x + 1 = 0. %3D Find exact value(s) for x such that (x+ 1)

A: Solve the equation

Q: xy – 3y + 3x² – 9x =

A:

Q: If det(A) = 2, find det(A5).

A: Given:detA=2det5A=?FORMULA:detcA=c detA

Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

A: Given that: (b) y=exx2(c) y=cosx2+1(d) y=2x2x+1 The quotient rule of derivative is…