Gdp of a developing country a developing countrys gross

Question

Question: GDP OF A DEVELOPING COUNTRY A developing country's gross domestic product (GDP) from 2000 to 2008 is approximated by the function

G(t) = -0.2t³ + 2.4t² + 60              (0 ≤ t ≤ 8)

Where G(t) is measured in billions of dollars, with t 0 corresponding to the beginning of 2000.

a. Compute G'(0), G'(1), . . . , G'(8).

b. Compute G"(0), G"(1), . . . , G"(8).

c. Using the results obtained in parts (a) and (b), show that after a spectacular growth rate in the early years, the growth of the GDP cooled off.