Consider a radioactive disintegration according to A→B→C. The decay constants of A and B are equal to λ. At t=0, the numbers of nuclei of A, B, and C are N0, 0, and 0, respectively. Find:
(a) The number of nuclei of B as a function of time t.
(b) The time t at which the activity of B is maximum, and the value of the maximum activity of B.