Question

An oil company models the income derived from the continuous production of oil as a continuous income stream using a function f(t) where f(t) = 200e ^ (- 0.1t) in thousands of dollars per year, where t is in years. Calculate the total income derived from pumping oil after 3 years. Give your answer in thousands of dollars to the nearest thousand dollars. Do not include commas on the dollar symbol in your answer

An oil company models the income derived from the continuous production of oil as a continuous income stream using a function f(t), where Ft) - 200e -0.14 in thousands of dollars per year, where t is in years. Calculate the total income derived from pumping oil after 3 years. Give your answer in thousands of dollars to the nearest thousand dollars. Do not include commas or the dollar symbol in your answer.

Answer 1

Total three years income derived after = S flex dt . * *5*200 clt det 200 loolH . e - 200 -og e -0.13 e =-2000 0-0.741) 3 1982 thousand dollors.