For the following transfer function,

\[
T(s)=\frac{-50(s+10)}{(s+1000)}
\]

(a) Identify the critical points. What type of filter is this? Estimate the cutoff frequency and the passband gain. What is the phase at \(s=0\) and \(\mathrm{s} ightarrow \infty\) ?

(b) Run a MATLAB Bode diagram and compare its results with your estimates in (a).

(c) Design a circuit using practical values that achieves the transfer function.

(d) Verify your design with the MATLAB plot.