A bacterial population following b(t) = (1.0 + 2.0t)3.
For each equation for population size, find the following.
a. The average rate of change between times 0 and 1.0.
b. The average rate of change between times 0 and 0.1.
c. The average rate of change between times 0 and 0.01.
d. The average rate of change between times 0 and 0.001.
e. What do you think the limit is?
f. Graph the tangent line.