Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. initially there were 3 million barrels of oil in the well; six years later 1,500,000 barrels remain.

(a) at what rate was the amount of oil in the well decreasing when there were 1,800,000 barrels remaining?

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year

Step-by-step explanation:

Given that oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 million barrels of oil in the well; six years later 1,500,000 barrels remain.

i.e. if V stands for volume of oil, then

To find A and k

V(0) = A = 3 million

Hence V =

V(6) = 1.5

i.e.

a) Using the above value of k , we have

million per year.

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