# 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 $f(t) = tH(t)$ and $g(t) = t^2H(t)$

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

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

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

I can see part of the graph on Wolfram but I'm pretty stuck...

The graphs of $f(t)$ and $g(t)$ are identical to those of $t$ and $t^2$ on $0 as $H(t)=1$ on this interval. Also as $f(0)=g(0)=0$ 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