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3.1 Laplace Transform

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  • 1. Multiple Choice
    2 minutes
    1 pt

    Laplace Transform transforms a function from

    f(t) to F(s)f\left(t\right)\ to\ F\left(s\right)

    F(s) to f(t)F\left(s\right)\ to\ f\left(t\right)

    f(t) to f(t)f\left(t\right)\ to\ f'\left(t\right)

    f"(t) to f(t)f"\left(t\right)\ to\ f'\left(t\right)

  • 2. Multiple Choice
    2 minutes
    1 pt

    Which one is the correct definition of Laplace Transform?

    F(s)=0estf(t)dtF\left(s\right)=\int_0^{\infty}e^{-st}f\left(t\right)dt

    F(s)=0tf(t)g(tu)F\left(s\right)=\int_0^tf\left(t\right)g\left(t-u\right)

  • 3. Multiple Choice
    2 minutes
    1 pt

    What is the Laplace Transform for  f(t)=t3f\left(t\right)=t^3  ?

     1s3\frac{1}{s^3}  

     2s3\frac{2}{s^3}  

     6s4\frac{6}{s^4}  

     3s3\frac{3}{s^3}  

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