does anyone can tell me if the fuction for this graphic it is ok?
[YOUTUBE][/YOUTUBE]
YouTube - heaviside matter
i have this
f(t)=
4sin(t) for 0 ... 2
0 for all tohe value
is that ok?
thanks
does anyone can tell me if the fuction for this graphic it is ok?
[YOUTUBE][/YOUTUBE]
YouTube - heaviside matter
i have this
f(t)=
4sin(t) for 0 ... 2
0 for all tohe value
is that ok?
thanks
Close, but if it was $\displaystyle 4 \sin t$, then the period would be $\displaystyle 2\pi$ so the half period (which is what is shown) should be $\displaystyle \pi$ wide, but in the graph it extends from 0 to 2. To fix it we can scale the function by a factor of $\displaystyle \frac{2}{\pi}$. To do so requires replacing $\displaystyle t$ with $\displaystyle \frac{\pi}{2} \, t$, giving:
$\displaystyle f(t) = \begin{cases} 4 \sin \left( \frac{\pi t}{2} \right) , & \mbox{if } 0 \le t \le 2 \\ 0, & \mbox{elsewhere} \end{cases}$