10. Using Laplace transform, solve the initial-value problem: y' + 2y = f(t), y(0) = 0, where f(t)= = 2 for 0 < t < 1, (t - 2)2 for 1< t < 2, 0 for t> 2.

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A: Local maxima and minima  Use lebnitz theorem for differentiation

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A: gx = ∫7sexcx1t2dt           = ∫7sexcx t-2 dt        = t-2+1-2+7secx      =t-17secx-1 = secx-1-7-1-1…

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A: Topic -functions qnd average rate of change of function over certain interval

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