The total amount of money in circulation for the years 1990-2012 can be closely approximated by M(t) 0.05025t5 1.122t +38.23t + 247.6, where t represents the number of years since 1990 and Mt) 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. а. 1992 c. 2005 e. What do your answers in parts a-d tell you about the amount of money in circulation in those years? b. 1997 d. 2012

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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The total amount of money in circulation for the years 1990-2012 can be closely approximated by M(t) 0.05025t5 1.122t +38.23t + 247.6, where t represents the number of years since 1990 and Mt) 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.
а. 1992
c. 2005
e. What do your answers in parts a-d tell you about the amount of money in circulation in those years?
b. 1997
d. 2012
Transcribed Image Text:The total amount of money in circulation for the years 1990-2012 can be closely approximated by M(t) 0.05025t5 1.122t +38.23t + 247.6, where t represents the number of years since 1990 and Mt) 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. а. 1992 c. 2005 e. What do your answers in parts a-d tell you about the amount of money in circulation in those years? b. 1997 d. 2012
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