The median weight of a boy whose age is between 0 and 36 months can be approximated by the function   w(t)=7.39+1.33t−0.0058t2+0.000153t3​,   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) through ​c) below.       ​a) The rate of change of weight with respect to time.   w′(t)=enter your response here

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.4: Total Differentials And Approximations
Problem 9E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...
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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)=7.39+1.33t−0.0058t2+0.000153t3​,
 
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) through ​c) below.
 
 
 
​a) The rate of change of weight with respect to time.
 
w′(t)=enter your response here
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