# Heaviside / Convoltuion Graph

• May 13th 2010, 08:08 PM
mmattson07
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...
• May 14th 2010, 09:58 AM
CaptainBlack
Quote:

Originally Posted by mmattson07
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
• May 14th 2010, 08:38 PM
mmattson07
thanks that makes a bunch of sense