The total amount of money in circulation for the years 20002019 can be closely approximated by M(t)
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The total amount of money in circulation for the years 2000–2019 can be closely approximated by
M(t) = 0.0322t3 + 1.71t2 + 18.2t + 595
where t represents the number of years since 2000 and M(t) is in billions of dollars. Find the derivative of M(t) and use it to find the rate of change of money in circulation in the following years.
(a) 2005
(b) 2010
(c) 2015
(d) 2019
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