I. Answer each of the following limit questions, given the graph of f(x):

1. lim as x -> infinity f(x)=

2. Write an equation for the end behavior asymptote.

3. Write the equations for the vertical asymptotes.

The volume of a spherical hot air balloon v(r) = 4 3 ? r3 changes as its radius changes. the radius is a function of time given by r(t) = 3t. find the instantaneous rate of change of the volume with respect to t at t = 2.