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3. (1) Find out the transfer function between input U and output Y as shown in Figure 1 and write the damping coefficient x as

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3. (1) Find out the transfer function between input U and output Y as shown in Figure 1 and write the damping coefficient x as function of t1 and 2 gure 1 (2) Prove that an inverse response will occur for first-order-plus-delayed-time transfer function G(s)=ts+1Keqs with 1/1 Pade approximation of eqs when a unit step function is applied. (Hint: use initial value theorem) (15\%)

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