Step 1: Understanding Selective and Differential Media
Selective media inhibit the growth of some organisms while allowing others to grow. Differential media allow different organisms to be distinguished based on their appearance.
Step 2: Evaluating the Options
- Blood agar: It is a differential medium but not selective. It distinguishes bacteria based on their hemolytic properties.
- Mannitol salt agar: Selective for Staphylococcus species and differential for mannitol fermentation.
- Mac Conkey agar: Selective for Gram-negative bacteria and differential for lactose fermentation.
- Eosin methylene blue agar: Selective for Gram-negative bacteria and differential for lactose fermentation.
Step 3: Conclusion
Blood agar is a differential medium but not selective, as it does not inhibit the growth of specific organisms.
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.