Let h(r) denotes the response of a system for which the input signal is the unit impulse...

Let h(r) denotes the response of a system for which the input signal is the unit impulse function δ (t). Suppose that h(t) for a casual system has the given even part h_e(t) for t > 0:

Find h(t) for all time, with your answer expressed as a mathematical function.