Find the Fourier Series for the function f(x) satisfying f(x+8) = f(x) and f(x) = 2 0 < x <4 3 4< x < 8. Compare the graph of the Fourier series you found with the graph of f(x).

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A: We will find the Laplace inverse transform.

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A: Objective function:Maximize: Subjected to constraints:

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A: See in detailsExplanation:I am giving my best☺

Q: Find the transform of Laplece L{sen(2t) 0(t − T)}.

A: .

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A: Please see the explanation Explanation:Step 1:

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A: Largest eigen value : 4 Smallest eigen value: -4Explanation:Step 1: Step 2: Step 3: Step 4:

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Q: Needs Complete typed solution with 100 % accuracy.

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Q: Use the secant method to find solutions to within 10^-4 for x^3 - 2x^2 - 5=0, [1,4]

A: 2.0946 and 2.0947  if you've any doubt comment below- Explanation:

Q: Consider the map h: P2 → R² defined by this. ax² + bx + c→ (a+b) Prove that it is a homomorphism.

A:

Q: 3. Prove that the cube roots of 1 are given by -1+i√√3 =3 2 || 2 -1-i√√3 w³ = 1. 2

A: DETAILED SOLUTION IS PROVIDED BELOWExplanation:

Q: Pleasev don't provide handwritten solution ....

A: The LU factorization of matrix A is A = LU, where:∙  L=⎣⎢⎡​1−1−1​011​001​⎦⎥⎤​∙…

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Q: (Important) A is an m by n matrix of rank r. Suppose there are right sides b for which Ax = b has no…

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