Step 1: Understanding Promoters
A promoter is a specific sequence of DNA that initiates transcription by binding to RNA polymerase and other transcription factors.
Step 2: Evaluating the Options
- Option (A): True, as promoters are indeed DNA sequences that facilitate transcription.
- Option (B): True, RNA polymerase II binds to the promoter during transcription in eukaryotes.
- Option (C): Incorrect, as the promoter is located upstream of the coding region, not between the operator and coding region (the operator is in prokaryotic operons).
- Option (D): True, mutations in the promoter region affect the transcription rate.
Step 3: Conclusion
Promoters are upstream of the coding region, not between the operator and coding region.
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.