Fixed Value Problems

1.

At the start of 2005, an online social group had 1 million members. Since that time, new members joined at a rate of roughly

m(t) = 3.2t³ 11t + 10 million members per year (0 t 5),

where t is time in years since the start of 2005.(a) Find an expression for the total online social group membership

M(t)________________at time t. HINT

M(t) =_________________________

(b) Use the answer to part (a) to estimate the online social group membership midway through 2008. (Round your answer to the nearest 1 million members.)

M(3.5) =___________________ million members

2.

Due to the increasing cost of fuel, the manager of the City Transit Authority estimates that the number of commuters using the city subway system will increase at a rate described by the function

dc dt 1+0.05t