Question: Consider the equation s3 + 10s2 + 24s + K = 0 Use the sgrid function to determine if it is possible to obtain a

Consider the equation
s3 + 10s2 + 24s + K = 0
Use the sgrid function to determine if it is possible to obtain a dominant root having a damping ratio in the range 0.5 ≤ ( ≥ 0.707, and an un-damped natural frequency in the range 2 ≤ (n ≤ 3. If so, use MATLAB to obtain the value of K required to give the largest possible value of ( (n in the ranges stated.

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