An investment flow is I(t) = 900√t where t is measured in years.
(a) Calculate the total capital formation during the first four years.
(b) Calculate the total capital formation from the end of the second year to the beginning of the sixth year. Round your answer to two decimal places.
(c) Find an expression for the total capital formation during the first N years and hence find the year in which the total capital formation reaches 16 200.