f(x) 1/3 f(2(x-2))+4 (2,4)   (-3,6)   Please explain in step by step simple terms how to answer this question

Q: Module Code: MATH380202 3. (a) Let {} be a white noise process with variance σ2. Define an ARMA(p,q)…

A: Part (a):Definition of ARMA(p, q):An ARMA(p, q) process {Xt​} is defined…

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Q: Can you evalutate the following summation:∑_{y=1}^{x} 2 / ((x + y - 1)(x + y + 1))

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A: To solve for matrix X in the equation: AX=B where: A=⎣⎢⎡​653​534​322​⎦⎥⎤​…

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Q: 10. Prove that a finite set of points Z1, Z2, Zn cannot have any accumulation points.

A: To prove that a finite set of points z1​,z2​,...,zn​ cannot have any accumulation points, we follow…

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Q: 3. Verify that the indicated function (or family of functions) is a solution of the given…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: a. Find the general flow pattern of the network shown in the figure. b. Assuming that the flow must…

A: Step 1:Step 2:

Q: Question 2 please

A: Explanation of Question 1 :-Explanation of Question 2 :- Explanation of Question 3 :-

Q: Let Σ 1 and g(x) = Σ logp. f(x) = prime p≤x p=3 (mod 10) prime p≤x p=3 (mod 10) g(x) = f(x) logx - Ր…

A: Given: g(x)=f(x)logx−∫2x​tf(t)​dt. We need to prove that: g(x)∼41​x. Step 1: Approximate f(x) using…

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A: Step 1:Step 2: Step 3: Step 4:

Q: 18. If m n compute the gcd (a² + 1, a² + 1) in terms of a. [Hint: Let A„ = a² + 1 and show that…

A: Step 1: Define the ProblemStep 2: Use the Hint and Properties of gcdStep 3: Factorize a ^{2^m} -…

Q: not use ai please

A: Step 1: Step 2: Step 3: Step 4:

Q: Refer to page 128 for the heat equation problem. Solve the one-dimensional heat equation with the…

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Q: Q4 3 Points 1 Let A = 2 3 7 5 11 Give one nontrivial solution X of the homogeneous system Ax = 0.…

A: We find a nontrivial solution X for the homogeneous system A x = 0 as follows:Step 1: Write the…

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A: Sociobiology and CrimeIt implies that some criminal behaviors could have developed as adaptive…

Q: 20. Numerical Methods • Describe the QR decomposition method and explain its use in solving linear…

A: ###(1)### QR Decomposition: An OverviewQR decomposition is a method in linear algebra that…

Q: Please could you send me the worked calculations for this question? No A.I. please.

A: This completes the full solution with explanations for each part. No use air.

Q: 13.4. Let f(z) =y-x-3ir² and y be given by the line segment z = 0 to z 1+i. Evaluate. L f(z)dz.

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Q: 6

A: To prove the given statements about the dual operators  S∗  and  T∗ , we will use the definition of…

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A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: Show the steps

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Q: Tum to page 134 for the vector calculus problem. Verify Stokes' theorem by calculating the surface…

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A: We multiply 0.004 by 0.32 as follows:Step 1: Ignore the DecimalsConvert both numbers into whole…

Q: 12. Check to see if the following set of functions is orthogonal on the interval [0,3] with respect…

A: To check if the given set of functions is orthogonal on the interval [0,3] with respect to the…

Q: Please help.

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Q: 9. Solve the differential equation: 10. Find the general solution of dy + y = 0. dy 33 dx 3x².

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Q: 13. If a fair coin is flipped, what is the probability of getting heads? 14. A bag contains 3 red…

A: Step 1: 13. A fair coin is flipped. When a coin is fair, the possible outcomes are equally likely,…

Q: By considering appropriate series expansions, prove that ez · e²²/2 . e²³/3 . ... = 1 + x + x² + ·…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Please help with as much detail as possible.  Thanks   for k(x)=4/5 x - 6, determine k -1(8)

A: Given function, k(x)=54​x−6 Find the inverse function, Replace x with k-1(x) and k(x) with x,…

Q: x+10+2 = 6 x =?

A: We have given, x+10​+2=6 Subtract 2 from both sides, x+10​+2−2=6−2 x+10​=4 Taking square both sides,…

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Q: 7. Rank and Nullity • Prove the Rank-Nullity Theorem: dim(ker(T)) + dim(im(T)) = dim(V) for a linear…

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A: a. Incorrect. A forward contract obligates both parties to execute the transaction (buy/sell the…

Q: 40 Number Theory: Quadratic Reciprocity Task: Refer to Question 40 in the provided document. Link:…

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Q: 3. A market consists of two risky assets with rates of return R₁ and R2 and no risk-free asset. From…

A: Step-by-Step Solution Given Data We have two risky assets with the following parameters: Expected…

Q: Matlab. Awnser the * questions in the comments of the code.

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A: "A critical point occurs when the derivative is zero or undefined" a)f(x)=x2 To find the critical…

Q: 4. [10 marks] Let T be the following tree: Find a graph G whose block graph BL(G) is isomorphic to…

A: Detailed Explanation: Understanding the Block Graph The block graph of a graph G is a representation…

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A: This problem minimizes the cost function over six decision variables each of which takes the value…

Q: can you evaluate and simplify the following summation:

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Q: 3. Suppose P is the orthogonal projection onto a subspace E, and Q is the orthogonal projection onto…

A: I have given an answer with proper steps and explanation. Kindly check it properly and understand…

Q: Decide if the following are true or false: • true 5 = 2 (mod 3) • true 0 = 16 (mod 4) • false 9 = 10…

A: Let us analyze each statement based on modular arithmetic as follows: Understanding Modular…