Use a theorem for computing L{eat f(t)} or {tnf(t)} to find F(s) = L{f(t)}. a. f(t) = (sin 3t - 2t²)e-4t b. f(t)t cos 4t

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 3t2 4 sin(5t)…

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A: Option c is correct.

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Q: Let f (t) = et sin 8t Part (a) Find L{f(t)}

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A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: 1. Differentiate. a) f(x) = x43x b) g(x) = x² — e√x -

A: We need to perform differentiation.

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Q: Let f(x) = sin(rx). Suppose that h and k are two functions such that H (x) = cos(xx), k'(x) = f(x+…

A: Given that fx = sinπx . Also given that h and k are two functions such that h'x = cosπx , k'x = fx+1…

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Q: Calculate us (t) * sin(t) using the definition of the convolution

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