If L[f (t)] = F(s), evaluate F(1) given by the expression, f(t) = e-(t-2) – [e-2(t-1) sin 2t]. Express your answer in two decimal place number.

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A: As per our guidelines we supposed to answer only three subpart in case of a multi part question.

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A: The solution is given as

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Q: Q4) Solve the boundary value problem y 3y' + 2y 0 with y'(1) = 1, y(3) = 2e* – e² h = 0.5

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Q: Two similar-looking series are given. Test each one for convergence or divergence. 3" (a) E ω Σ (b)…

A: Given series are∑n=1∞1n+n! and ∑n=1∞1n+1n!The series are tested for convergence as shown below.

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A: Fourier series expansion of the given series in the interval .

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Q: -2ln(cosx lim, 0 ,2

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