Step 1: Understanding BAC Vectors
Bacterial artificial chromosomes (BACs) are large cloning vectors used for cloning large DNA fragments, typically up to 300 kb.
Step 2: Evaluating the Options
- Stable transfection: Not the primary use of BACs.
- Human genomic library construction: Correct, BAC vectors are ideal for constructing large human genomic libraries.
- E. coli protein expression: E. coli protein expression typically uses plasmid vectors, not BACs.
- E. coli genomic library construction: Not typically used for constructing genomic libraries; BACs are better for large DNA fragments.
Step 3: Conclusion
The most important use of BAC vectors is for constructing human genomic libraries.
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.