# Heaviside / Convoltuion Graph

#### 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...

#### CaptainBlack

MHF Hall of Fame
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

mmattson07

#### mmattson07

thanks that makes a bunch of sense