Question 03: a) - The following RC circuit is described by a constant coefficient differential equation. v,(t) v,(t) vc(t) Output Input „dv,(t) RC dt dv,(t) + v,(t) = RC- dt Assuming the behavior of...

Extracted text: Question 03: a) - The following RC circuit is described by a constant coefficient differential equation. v,(t) v,(t) vc(t) Output Input „dv,(t) RC dt dv,(t) + v,(t) = RC- dt Assuming the behavior of this circuit as an LTI system, Identify its frequency response. b) - As chief engineer of the project, you are assigned to study the acoustics of an auditorium. (You may do so by identifying the frequency response). From recording equipment placed at the center of auditorium, it is identified that the same test (input) signal is received in addition to a delayed version that is half the amplitude of test (input) signal, and the delay is 1 second. In short, the impulse response is given as: h(t) = 8(t) + 0.58(t – 1) Identify the frequency response of the auditorium.