Step 1: Understanding the Role of Antibiotics
- Neomycin and Kanamycin inhibit protein synthesis by targeting the ribosome.
- Rifampicin inhibits transcription by binding to RNA polymerase and preventing RNA synthesis.
- Quinolones inhibit DNA replication by interfering with DNA gyrase but do not directly affect transcription.
Step 2: Conclusion
Rifampicin specifically inhibits transcription.
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is:
A digital filter with impulse response $ h[n] = 2^n u[n] $ will have a transfer function with a region of convergence.