The charge q on a capacitor which starts discharging at

Question

Question: The charge, Q, on a capacitor which starts discharging at time t = 0 is given by

Where R and C are positive constants depending on the circuit and Q0 is the charge at t = 0, where Q0 = 0. The current, I, flowing in the circuit is given by I = dQ/dt.

(a) Find the current I for t < 0 and for t > 0.

(b) Is it possible to define I at t ≠ 0?

(c) Is the function Q differentiable at t ≠ 0?