Problem 3 (15X, 3\% each) Answer the following questions based on the response of the first order system has solution as shown in Equation (1) y(t)=Ce1/t+1+(cot)2XAsin(tostan1cos) Equation (1) Answer the following ( 2% each), write your answer in the left parenthesis 1. Write the transient solution formula of the solution: Write your Answer: (KA/sgrt[1+(wt)A2)]sin(wdtan1wt) 1. 3 I 2. From what information to find the value of w ? It can be provided by (1) the natural frequency, (2) the frequency of interest, (3) the forcing function, (4) all solutions are correct 2 3. How is the coefficient crelated to? (1) boundary condition, (2) initial condition, (3) the static sensitivity, (4) all solutions are correct I 4 . 4. What controls the oscillation of the response? (1) the forting function, (2) time constant, (3) no oscillation in 1" order system, (4) all solutions are not correct (1) 5. From what information to find K.A? (1) the excitation frequency, (2) the forcing function, (3) the time constant, (4) all solutions are correct