Problem $10(7$ pts$.)$:

a$)(4$ pts$.)$ Draw a negative feedback system with the direct path block with transfer function

$1()=5$

$2$ and with the feedback path block with transfer function $2()=$

$+4.$

Calculate the overall transfer function of the feedback loop.

b$)(3$ pts$)$ Determine the value of K for the system to have an underdamped behavior.