We replace “cost” above by “revenue” or “profit” to find total change in these
quantities.
Example 15 __
After t minutes, a chemical is decomposing at the rate of 10e−t grams per minute.
Find the amount that has decomposed during the first 3 minutes.
SOLUTION:
Example 16 __
An official of the Environmental Protection Agency estimates that t years from
now the level of a particular pollutant in the air will be increasing at the rate of
(0.3 + 0.4t) parts per million per year (ppm/yr). Based on this estimate, find the
change in the pollutant level during the second year.
SOLUTION: