Problem $3(15\%,3\%$

eqfibler the following questions based on the response of the first order system has solution as shown in Equation $(1)$

$y(t)=C{e}^{-\frac{t}{}}+\frac{KA}{\sqrt[\phantom{2}]{1+({)}^2}}sin(t-ta{n}^{-1})$

Equation

Answer the following, select the best choice, write your answer in the left parenthesis

$()1.$ From what information to find KA$?$

$(1)$ the forcing function, $(2)$ the excitation frequency, $(3)$ the time constant, $(4)$ all solutions are correct

$()2.$ From what information, we can find the $?$

It can be provided by $(1)$ the frequency of the forcing function, $(2)$ the natural frequency, $(3)$ the amplitude of the external force, $(4)$ all solutions are correct

$()3.$ How is the coefficient C related to$?$

$(1)$ initial condition, $(2)$ boundary condition, $(3)$ the static sensitivity$,(4)$ all solutions are correct

$()4.$ Who control the oscillation of the response?

$(1)$ initial condition, $(2)$ the forcing function, $(3)$ oscillation is not happening, $(4)$ all solutions are not correct

$()5.$ What happens of the phase angle when the operating frequency is increased?

$(1)$ the phase angle is increased $(2)$ the phase angle is decreased $(3)$ the phase angle increased and then decreased $(4)$ All solutions are not correct $q,$