12 Question If the percentage rate of growth of time series data is stable, then time series has: 1. Linear trend 2. Parabolic trend 3. Exponential trend

Q: Write down the six elements of S3 and give the multiplication table for the group. The six elements…

A: Given six elements of S3 are     1=123123, a=123231=123 , b=123312=132, c=123213=12, d=123321=13,…

Q: The graph of 3[H(t2) - H(t - 3)] is given by:

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Q: Find the Fourier Series of the given periodic function. f(0) = {-1, if -n≤t<0 if ost<n if sin3t…

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Q: Exercise 15.2.8 Y 1₁² Find ► Hint dA where D = {(x, y) : x ≥ 0, y ≥ 0, x² + y² ≤ 1}.

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Q: K(G) < K'(G) < 8(G).

A: For a graph G ; κ(G)=Vertex connectivityκ'(G)= Edge coonectivityδ(G)=Minimum degree of G

Q: 1.- Let {Xn³n21 be a process adapted to filtering {n}nz1 and let {Gn}n>1the natural filtration of…

A: Given,Xnn≥1 is a process adapted to filtering Fnn≥1Gnn≥1 is the natural filtration of the processTo…

Q: A set S of vectors in R4 is given. Find a subset of S that forms a basis for the subspace of R4…

A: Basis for the subspace

Q: Use the method of reduction of order to find a second solution of the differential equation ty" +…

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Q: Please provide a step-by-step and clear solution to each of the problems below. 1) Parabolic…

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Q: 4. What is the units digit of the number 31.000.000 a) 1 b) 3 c)7 4) 9 5. A scale model of a…

A: Unit digit of number of the form  xy follow a pattern when y is increased which depends on unit…

Q: Q/ IF y = Sim ܠܐ 10²² (4) y = 3/² sin(x) cos(x) Prove that

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Q: a b c.....there are 3 sub parts that you need to solve

A: As per the question we are given a recurrence relation in xn and we have to find : Generating…

Q: Evaluate. [16si 16sin-4x cos³-4x dx

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Q: block of ice in the shape of a right circular cone is melting in su both its height h and its radius…

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Q: Let f(x)=√√3x-2 on the interval volume of the resulting solid. 83л -unit3 135 43x 125 83x 125 43x…

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Q: ? Exercise 15.2.9 The joint density function for two random variables X and Y is given by f(x, y) =…

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Q: What is the DE of the family of parabolas having their vertices at the origin and their foci on the…

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Q: (D³ + 3D² + 3D + 2)y = 0

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Q: Let f(x)=√3x-2 on the interval [2/3, 1] Revolve the region between the curve, y=1 and y-axis about…

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Q: Solve the exact differential equation (In y - y sin x-6e³x) dx + ( + cos x + 5 sec y tan y - 6y)dy =…

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Q: Which of the following statements is/are true about non-Euclidean geometries? I. In non-Euclidean…

A: To find the statements which is/are true about non-Euclidean geometries.

Q: i) Discuss the pros and cons of the various numerical methods such as the bisection method, linear…

A: The Bisection method is a method used in mathematics that helps an individual find the square root…

Q: b) Explain what is meant by the internal rate of return (IRR) in the context of project appraisal.…

A: The internal rate of return is the discount rate that sets the present value of all cash inflows of…

Q: a) Find a closed form of the solution using the method of Taylor series about x = 0. b) Use Euler's…

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Q: (b) Pak Majid sells three grades of eggs A, B and C. The total price of a grade A egg and a grade B…

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Q: find the graph G such that : 1) K(G) = K'(G) < 8(G). 2) K'(G) = 8(G). 3) 4) K(G) = K'(G) K(G) <K'(G)…

A: k(G) is vertex connectivity of graph G k'(G) is edge connectivity of graph G δ(G) is minimum degree…

Q: Message: [-8 59] [19 43] [10 60] [0 25] [-7 81] 1 2 matrix used: -1 3

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Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

A: f( x) = sinx - x3 + 1 By Midpoint method f'(a) = (f(a+h) - f(a-h)) /2h

Q: 7. Find the Inverse Laplace Transform of 1 s²-8s+25

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Q: x + 2 Determine the case of the following proper rational function after simplification: (x² – 4)(x³…

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Q: The general solution of y" + y = sec³ x

A: First we will find the complementary solution for which we will find the roots of it's auxiliary…

Q: 7. la + d d a d d+n n a n n + al = 4nad

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Q: Find the general solution of the D.E. (y^2 - 2xy + 6x) dx = (x^2 - 2xy + 2) dy = 0 Show your…

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Q: The volume of the solid bounded by z = 0, x+y+z= 4 and x² + y² = 4 in cylindrical coordinates is 16.…

A: Solution:  True

Q: What is the area of one petal of the curve r = sin 30 ? AA= sq. units A-3 sq. units B. C. A = π sq.…

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Q: 1. Two cars start from the same place and travel in opposite directions, one at the rate of 45km/h,…

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Q: How fast is the circumference of a circle changing if the radius is changing at the rate of 3 mm/s?

A: Solution

Q: d the solution. - 2y'-2y = 0 31 A y = c₁₂e √³1 + B) y = cell-√3)+c_xe (1+/3), -cell-cel+5 Dyce -…

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Q: Message: [-859] [1943] [1060] [O_25] [-7 81] matrix used: 3] -1 3

A: Given: A=12-13 To use matrix A to decipher the message: [-8  59] [19  43]  [10  60]  [0  25]  [-7…

Q: Find the solution. (4D³-3D + 1)y=0 A y = (₁+₂) ²¹/²+c₂e² Get ® By y = (c₁ + ₁₂x) e */2² + c₂e²r x/2…

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Q: Evaluate. 2x lim (e²x + 2) 8118

A: The solution is given as

Q: Evaluate. [ 10.xªtan (2x³ + 3) dx

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Q: Find the roots of the equation using Bisection Method and False position Method. f(x) = e-2x -4 if…

A: We can solve this using Bisection Method and False position Method.

Q: 10 Re(1 + i)¹⁰ Select one: O a. 0 O b. 1/2 O c. 3/4 O d. 5/6

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Q: 0.5 + -1 -0.25 0.5

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Q: جس دن ہی جا U 0 0 0 1 0 0 1 0 0 +2000 0 0 0 0 0 -1 0 +1000 0 0 0 0 0 0 -1 c. Solve the system of…

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Q: We can apply General Power Formula of Integration on which of the following integrals? A / coshu…

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Q: "+y = sec³ x

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Q: A metal sphere cools from 80°C to 70°C in 5 minutes. How much more time (in minutes) will it take to…

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Q: Find the surface area generated by y = x³; x = 0 and x = 3 and is revolved on x-axis.

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