Charge (with) (7)
(Other definitions for entrust that I've seen before include "Give for safekeeping" , "Invest, commit" , "Give as responsibility, place in care of" , "Confide" , "Give custody of" .)
(Other definitions for task that I've seen before include "Chore, job." , "Arduous bit of work" , "commission" , "Set piece of work" , "exercise" .)