1. Please derive the point kinetic equation by following the procedure given below : a. Write down one-group diffusion equation having delayed neutrons and the balance equation for the precursor (please refer to the Lecture Note chapter 02). b. Using the separation of the flux and precursor concentrations, please derive the following point kinetic equation (Please refer to Nuclear Reactor Analysis (p.235-238)) : dn_k(1-B)-1 6 -n(t) + ^,C, 1 i=1 dt dC -=B-n(t)-2,C,,i=1,2,..., 6. dt C. With the definition of k in terms of the generation time and life time of neutrons and the definition of reactivity, derive the following form of the point kinetic equation : dn_p(t)-B = -n(t) + ^,C, A i=1 dt k B. An dC-Bn(t)- A,C,,i=1,2,..., 6. dt A