A population following b(t) = 2.0t. For each equation for population size, find the following. a. The

Question:

A population following b(t) = 2.0t.
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.