To determine the concentrations of HA (the weak monoprotic acid) and A- (its conjugate base) after titration, start by calculating the initial concentration of the acid using the formula c = n/v, where n is the moles of acid and v is the volume in liters. After titrating with 10.0 mL of 0.0633 M NaOH, the moles of NaOH added can be calculated, which will neutralize an equivalent amount of HA. The remaining concentration of HA and the formed concentration of A- can then be derived from the stoichiometry of the reaction. Additionally, the concentration of hydroxide ions can be found using Kw = [H+][OH-], allowing for the determination of H+ concentration and further confirming the concentrations of HA and A-. The calculations will yield the final concentrations of HA and A- in the solution.