The median weight of a boy whose age is between 0 and 36 months can be approximated by the function w(t) = 9.63 +1.611-0.00481² +0.0001651³, where t is measured in months and w is measured in pounds. Use this approximation to find the following for a boy with median weight in parts a) and b) below. a) The weight of the baby at age 8 months. The approximate weight of the baby at age 8 months is 22.29 lbs. (Round to two decimal places as needed.) b) The rate of change of the baby's weight with respect to time at age 8 months. The rate of change for the baby's weight with respect to time at age 8 months is approximately (Round to two decimal places as needed.) Ibs/month.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
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The median weight of a boy whose age is between 0 and 36 months can be approximated by the function
w(t) = 9.63 +1.61t-0.004812 +0.000165t³,
where t is measured in months and w is measured in pounds. Use this approximation to find the following for a boy with median weight in parts a) and b) below.
C
a) The weight of the baby at age 8 months.
The approximate weight of the baby at age 8 months is 22.29 lbs.
(Round to two decimal places as needed.)
b) The rate of change of the baby's weight with respect to time at age 8 months.
The rate of change for the baby's weight with respect to time at age 8 months is approximately
(Round to two decimal places as needed.)
Ibs/month.
Transcribed Image Text:The median weight of a boy whose age is between 0 and 36 months can be approximated by the function w(t) = 9.63 +1.61t-0.004812 +0.000165t³, where t is measured in months and w is measured in pounds. Use this approximation to find the following for a boy with median weight in parts a) and b) below. C a) The weight of the baby at age 8 months. The approximate weight of the baby at age 8 months is 22.29 lbs. (Round to two decimal places as needed.) b) The rate of change of the baby's weight with respect to time at age 8 months. The rate of change for the baby's weight with respect to time at age 8 months is approximately (Round to two decimal places as needed.) Ibs/month.
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