Step 1: Understanding Cosmid Vectors
Cosmids are hybrid vectors that combine features of plasmids and phages, allowing for the cloning of large DNA fragments.
Step 2: Evaluating the Options
- Plaques are not produced: Incorrect, since cosmid vectors are based on lambda phages, plaques are produced.
- Use lac selection system: Incorrect, although some vectors use lac operon for selection, this is not a defining feature of cosmids.
- Can carry small DNA fragments: Incorrect, cosmids are known for carrying larger DNA fragments, up to 40 kb.
- Uses lambda origin of replication: Correct, cosmids use the lambda origin of replication to replicate in the host cell.
Step 3: Conclusion
Cosmids use the lambda origin of replication to ensure they can replicate within bacterial cells.
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.