Step 1: Understanding interpolation methods.
- Newton's forward interpolation formula is specifically used for equally spaced dat(A)
- Newton's divided difference and Lagrange's interpolation work for unequally spaced dat(A)
Step 2: Selecting the correct option.
Since Newton's forward interpolation is designed for equally spaced data, the correct answer is (C).
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: