0 if t <3 Let f(t) SIĘ 2(t-3) if 3 < t < 5 if t > 5 Find the Laplace transform, F(s) of f(t) F(s) =

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A: See the answer below

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A: Solving

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A: We will use chain rule to find the derivative

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A: Follow next step

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A: answer is in next step

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Q: x³Væ² + 1 dx

A: Solve the integration

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A: Indefinite integral

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A: Solved below

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A: This is a problem of numerical method . Based on modified Euler method we will answer the question.

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A: L(x,y,z)=f(a,b,c)+fx(a,b,c)(x-a) +fy(a,b,c) (y-b) +fz(a,b,c)(z-c).

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A: This question can be solved using the concept of infinite geometric series.

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A: answer is in next step

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Q: lim (cos(9x)) (+) x-0+

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Q: the

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A: We need to use simplex method.

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A: Given: