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The instantaneous rate of change of the value of a certain investment (P) is proportional to its value. That is dP to say d

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The instantaneous rate of change of the value of a certain investment (P) is proportional to its value. That is dP to say d = r.P. dt If r - 4 and P(0) = 5000: P(t) = (1 point) 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? rate = barrels/year (b) When will there be 150,000 barrels remaining? after years.

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