The total amount of money in circulation for the years 1990-2012 can be closely approximated by M(t)=0.05026t³-1.12212² +37.56t+247.1, where t represents the number of years since 1990 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. 1992 b. 1999 d. 2011 c. 2005 e. What do your answers in parts a-d tell you about the amount of money in circulation in those years? G a. The rate of change of money in circulation in 1992 was $ billion per year. (Round to two decimal places as needed.)
The total amount of money in circulation for the years 1990-2012 can be closely approximated by M(t)=0.05026t³-1.12212² +37.56t+247.1, where t represents the number of years since 1990 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. 1992 b. 1999 d. 2011 c. 2005 e. What do your answers in parts a-d tell you about the amount of money in circulation in those years? G a. The rate of change of money in circulation in 1992 was $ billion per year. (Round to two decimal places as needed.)
Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Transcribed Image Text:The total amount of money in circulation for the years 1990-2012 can be closely approximated by M(t) = 0.05026t³ - 1.1221² +37.56t+247.1, where t represents the number of years since 1990 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. 1992
b. 1999
d. 2011
c. 2005
e. What do your answers in parts a-d tell you about the amount of money in circulation in those years?
billion per year.
a. The rate of change of money in circulation in 1992 was $
(Round to two decimal places as needed.)
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