Using production and geological data, the management of an oil company estimates that oil will be pumped from a producing field at a rate given by the following. 80 HS R(t)= +8; 0sts15 R(t) is the rate of production (in thousands of barrels per year) t years after pumping begins. Find the area between the graph of R and the t-axis over the interval [6.12] and interpret the results. The area is approximately square units. (Round to the nearest integer as needed.) Find the total income produced by a continuous income stream in the rst 10 years if the rate of ow is given by the following function, where t is time in years. f(t) = 2500 How much was earned over 10 years? $ Find the total income produced by a continuous income stream in the rst 2 years if the rate of ow is given by the following function, where t is time in years. f(t) = 500520-05t What is the total income earned? $ (Round to the nearest dollar as needed.)