disscrete mathematics just answer 5 and 6 please At the beginning of each day. Andrew adds one gallon of water to his bird bath Each day,one-third of the water in the bird bath evaporates. At the end of day 0 the bird bath contains 8 gallons of water. Give a recurrence relation for W(n.the amount of water in the bird bath at the end of day n. Use the reduction formula edx=xe-n ed to give a recurrence relation for when n>0 Suppose we model the spread of a virus in a certain population as follows. On day 1,one person is infected.On each subsequent day,each infected person gives the cold to two others. a Write down a recurrence relation for this model. (b) What are some of the limitations of this model? How does it fail to be realistic?