Homework Statement
f(t) = \left\{ \begin{array}{rcl}
5sin(t) & \mbox{for}
& 0 < t < 2\pi \\
0 & \mbox{for} & t > 2\pi
\end{array}\right.
Now, the problem is about rewriting f(t). My friend and I decided that it had to be
\dfrac{10 - 5e^{-2\pi s}}{s^2 + 1}
However, the answer turned out...
Thank you very much! :)
We managed to get the first one right (pi/2) by simply inserting the value into the function as suggested.
However, we are a bit more puzzeled about the second part of the task. How do we go about finding that periodic extension of g(x)? (and how do we show that the...
Homework Statement
The function g(x) is defined as follows:
g(x) = \left\{ \begin{array}{rcl}
{-\pi e^x} & \mbox{for}
& -\pi < x < 0 \\
{\pi e^{ -x}} & \mbox{for} & 0 < x < \pi
\end{array}\right.
And the Fourier series for g(x) is as follows:
\sum_{n=0}^\infty...