Depreciation the rate of depreciation of a building is given by D'(t) = 3000120 = t2 dollars per year, 0 ≤ t ≤ 20; see the figure in Problem.
(a) Use the graph to find the total depreciation of the building over the first 20 years.
(b) Use the 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.
Problem
Depreciation the rate of depreciation of a building is given by D'(t) = 3000120 - t2 dollars per year, 0 ≤ t ≤ 20; see the figure.
(a) Use the graph to find the total depreciation of the building over the first 10 years (t = 0 to t = 10).
(b) Use the definite integral to find the total depreciation over the first 10 years.
