b. Prove that, the Inverse Laplace Transform of the function F(s) below has NO complex values. 2+s F(s) = (s+4)(s + 3)²

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Q: The Fourier transform of some function f(x) is A(k) 1+46,6, where a is some real number whose…

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Q: 6. Find the inverse Laplace transform of the function (3²-²)(as + b) I(s) = (s² + a²) (s² + 3²)

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Q: 2. Determine the inverse Laplace transform of F(s) F(s) = (25-18)/(s²+9))

A: The given function is .The aim is to find the inverse Laplace transform of the function .Laplace…

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Q: Q1. Find the Fourier of the function in Fig.Q1 f(x) -a a x -a Fig.Q1

A: Q1.The function in Fig.Q1 is a sawtooth wave. The function can be defined as:f(x)=πa​xFourier Series…

Q: If the Fourier transform of f(t) = is F(w), express the Fourier transform of g(t) = 2 0<t<1 0…

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Q: Find the inverse Laplace transform of each function: -4s a) F(s) = -5/2.

A: We find out the Laplace inverse transform .

Q: (a) By examining the graph of the feasibility set, find the maximium of 7x + 4y subject to 2y-x ≤ 12…

A: LPP is as follows:Max subject toTo Find:a) Examine the graph and find the maximum value.b) At what…

Q: 5. Find the inverse Laplace transform of the function as + b H(s) : (8 – a)2 + B2"

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Q: 8 Find the inverse Laplace transform of F (s) = f (t) = 8"H(t) (Write eab as exp(a*b)). %3| ||

A: We have to find laplace inverse of F(s)

Q: 6. Find the inverse Laplace transform of the function (B² – a²)(as + b) (s² + a²)(s² + B²)" I(s) =

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Q: 5. Find the inverse Laplace transform of the function H(s) = as + b (s-a)² +32° a = 9,b= 10, a = 4,8…

A: We have to find the inverse Laplace transform of the function H(t)=as+b(s-α)2+β2 when a=9, b=10,…

Q: (b) Find the inverse Fourier transform of the following: (11) 1 √w√2π (3+jw)

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Q: 3. Find the inverse Laplace transform of the function (a - B)2 2(a - B)3 (s - a)(s – B)3 a - B F(s)…

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Q: 2. Graph the following functions on separate axes. (a) f(x)=√x-1- (b) g(x)=4-x² - 2 (c) h(x) = -x-2

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…