A measurement system can be modeled by the equation y F t + = 2 2 ( ) Initially, the output signal is steady at 75 volts. The input signal is then suddenly increased to 100 volts. (a) Determine the time constant and the sensitivity of the system. (b) Determine the response function.

When a vertical beam of light passes through a transparent medium, the rate at which its intensity i decreases is proportional to i(t), where t represents the thickness of the medium (in feet). in clear seawater, the intensity 3 feet below the surface is 25% of the initial intensity i0 of the incident beam. what is the intensity of the beam "10" feet below the surface? (give your answer in terms of i0. round any constants or coefficients to five decimal places.)