Step 1: Understanding microbial growth parameters.
- Intrinsic parameters are inherent to the food itself and influence microbial growth.
- Water activity \((a^{w})\) is one of the most critical intrinsic factors that control microbial survival.
Step 2: Explanation of incorrect options.
- Temperature (A), Time (C), and Atmospheric conditions (D) are extrinsic factors that affect microbial growth but are not intrinsic.
Step 3: Selecting the correct option. Since water activity is an intrinsic parameter, the correct answer is (B) Water activity.
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: