Based on a preliminary report by a geological survey team, it is estimated that a newly discovered oil field can be expected to produce oil at the rate of thousand barrels/year, t years after production begins. Find the amount of oil that the field can be expected to yield during the first 11 years of production, assuming that the projection holds true.
A) 802 thousand barrels
B) 810 thousand barrels
C) 805 thousand barrels
D) 798 thousand barrels

Question

Based on a preliminary report by a geological survey team, it is estimated that a newly discovered oil field can be expected to produce oil at the rate of  thousand barrels/year, t years after production begins. Find the amount of oil that the field can be expected to yield during the first 11 years of production, assuming that the projection holds true.
A) 802 thousand barrels 
B) 810 thousand barrels 
C) 805 thousand barrels 
D) 798 thousand barrels

Quizplus · Accepted Answer

To find the amount of oil that the field can be expected to yield during the first 11 years of production, we need to find the integral of the given function from t = 0 to t = 11.
∫(11eaa8b1_da89_4b8c_b1b6_df85bf7fe25f_TB6026_11) dt = [11/(ea028cbe_c1b1_4675_bc5d_802084d2c5df_TB6026_11)] * [ea028cbe_c1b1_4675_bc5d_802084d2c5df_TB6026_11^2 - (ea028cbe_c1b1_4675_bc5d_802084d2c5df_TB6026_11-11)^2] = 805 thousand barrels (rounded to the nearest thousand)

Therefore, the best choice is C) 805 thousand barrels.

Based on a Preliminary Report by a Geological Survey Team