Anesthesia induces muscle relaxation (paralysis) in the patient using a mixture of isoflurane and atracurium. An approximate model relating muscle relaxation to the percent isoflurane in the mixture is:
P (s) / U (s) = 7.63*10-2 / S2 + 1.15s + 0.28
where P (s) is a percent measure of muscle relaxation and U (s) is the percent mixture of isoflurane.
A. Find the damping ratio and the natural frequency of the paralysis transient response.
B. Find the maximum possible percent paralysis if a 2% mixture of isoflurane is used.
C. Plot the step response of paralysis if a 1% mixture of isoflurane is used.
D. What percent isoflurane would have to be used for 100% paralysis
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