The rate of depreciation of a building is given by D'(t)=3000(20-t) dollars per year, ¤ t ¤20;

Question:

The rate of depreciation of a building is given by D'(t)=3000(20-t) dollars per year, ‰¤ t ‰¤20;
see the figure below.
(a) Use the graph to find the total depreciation of the building over the first 20 years.
(b) Use a definite integral to find the total depreciation over the first 20 years.
(c) Use the graph to find the total depreciation between 10 years and 20 years and check it with
A definite integral.