Daily crude oil production by Pemex, Mexico's national oil company, for 2008–2013 could be approximated by P(t) = 0.017t2 − 0.4t + 5.23 million barrels  (8 ≤ t ≤ 13), where t is time in years since the start of 2000.† Find the derivative function  dP/dt   dP dt =        At what rate was oil production changing at the start of 2010 (t = 10)? Daily oil production was decreasing at a rate of  million barrels per year

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A: To find the nth derivative of function y.

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A: By see this solution

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A: The Answer is Option A

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A: Formula used

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A: Given,

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A: SOLUTION:-

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A: Recall the properties of logarithms:

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A: using the fundamental theorem of calculus we find g'(x)

Q: y=

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A:

Exponential Growth Model

The relation that represents an exponential function is: