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Laplace of constants and powers of t

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rebelmaths

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You may use a table of Laplace transforms in order to answer the following questions.

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Find $L\\{\\var{a} \\}$.

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$L\\{k\\}=\\frac{k}{s}$

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Find $L\\{\\var{b}t \\}$.

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$L\\{t\\}=\\frac{1}{s^2}$

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Find $L\\{\\var{a}+\\var{b}t \\}$.

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$L\\{k\\}=\\frac{k}{s}$

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$L\\{t\\}=\\frac{1}{s^2}$

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Find $L\\{t^\\var{a}\\}$.

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$L\\{t^n\\}=\\frac{n!}{s^{n+1}}$

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Find $L\\{\\var{a}t^\\var{c}+\\var{b}t^\\var{d}\\}$.

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$L\\{t^n\\}=\\frac{n!}{s^{n+1}}$

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See 'show steps'.

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