when a person swallow giardia cysts,stomch acids and pancreatic enzymes cause the cysts to release trophozoites,which divide every 12 hours.

a) suppose the number of trophozoites at time t=ois yo,write a function giving the number after t hours.

b)the article cited above said that a single trophozoites can multiply to a million in just 10 days and a billion in 15 days, verify this fact.