Step 1: Understanding the lac Operon
The lac operon in Escherichia coli consists of three structural genes involved in lactose metabolism: lacZ (β-galactosidase), lacY (lactose permease), and lacA (thiogalactoside transacetylase).
Step 2: Evaluating the Options
- Option (A): Incorrect, the sequence is wrong.
- Option (B): Correct, lacZ-lacY-lacA is the correct sequence of genes in the operon.
- Option (C): Incorrect, this sequence does not represent the lac operon gene order.
- Option (D): Incorrect, this sequence is not correct for the lac operon.
Step 3: Conclusion
The correct sequence of the structural genes in the lac operon is lacZ-lacY-lacA.
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.