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Thread: Heaviside / Convoltuion Graph

  1. #1
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    Heaviside / Convoltuion Graph

    Hi all, i need some hints in how to start this problem...

    Suppose $\displaystyle f(t) = tH(t)$ and $\displaystyle g(t) = t^2H(t)$

    a) Sketch the graph of $\displaystyle f(t)$ and $\displaystyle g(t)$ over the interval $\displaystyle 0 \leq t \leq 2$

    I can see part of the graph on Wolfram but I'm pretty stuck...
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  2. #2
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    Quote Originally Posted by mmattson07 View Post
    Hi all, i need some hints in how to start this problem...

    Suppose $\displaystyle f(t) = tH(t)$ and $\displaystyle g(t) = t^2H(t)$

    a) Sketch the graph of $\displaystyle f(t)$ and $\displaystyle g(t)$ over the interval $\displaystyle 0 \leq t \leq 2$

    I can see part of the graph on Wolfram but I'm pretty stuck...
    The graphs of $\displaystyle f(t)$ and $\displaystyle g(t)$ are identical to those of $\displaystyle t$ and $\displaystyle t^2$ on $\displaystyle 0<t \le 2$ as $\displaystyle H(t)=1$ on this interval. Also as $\displaystyle f(0)=g(0)=0$ the plots may be extended to the closed interval in the obvious way.

    CB
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  3. #3
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    thanks that makes a bunch of sense
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