9. Growth of a Baby. The median weight of a girl whose age t is between 0 and 36 mo can be approximated by the function w(t) = 7.6 +1.61t - 0.0484t² + 0.00061³, where t is measured in months and w is measured in pounds. Use this approximation to make the following computations for a girl with median weight. 10 a) The rate of change of weight with respect to time b) The weight of the girl at birth c) The rate of change of the weight of the girl at birth d) The weight of the girl on her first birthday e) The rate of change of the girl's weight with respect to time on her first birthday f) The average rate of change of the girl's weight during her first year of life g) A time when the instantaneous rate of change is the same as the average rate of change over the first year

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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9. Growth of a Baby. The median weight of a girl whose
age t is between 0 and 36 mo can be approximated
by the function
w(t) = 7.6 +1.61t - 0.0484t²
+ 0.00061³,
where t is measured in months and w is measured
in pounds. Use this approximation to make the
following computations for a girl with median
weight. 10
a) The rate of change of weight with respect to
time
b) The weight of the girl at birth
c) The rate of change of the weight of the girl at
birth
d) The weight of the girl on her first birthday
e) The rate of change of the girl's weight with
respect to time on her first birthday
f) The average rate of change of the girl's weight
during her first year of life
g) A time when the instantaneous rate of change is
the same as the average rate of change over the
first year
Transcribed Image Text:9. Growth of a Baby. The median weight of a girl whose age t is between 0 and 36 mo can be approximated by the function w(t) = 7.6 +1.61t - 0.0484t² + 0.00061³, where t is measured in months and w is measured in pounds. Use this approximation to make the following computations for a girl with median weight. 10 a) The rate of change of weight with respect to time b) The weight of the girl at birth c) The rate of change of the weight of the girl at birth d) The weight of the girl on her first birthday e) The rate of change of the girl's weight with respect to time on her first birthday f) The average rate of change of the girl's weight during her first year of life g) A time when the instantaneous rate of change is the same as the average rate of change over the first year
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