The size of an unborn fetus of a certain species depends on its age. Data for Head circumference (H) as a function of age (t) in weeks were fitted using the formula H= - 29.89 + 1.899t - 0.3068t log t. dH (a) Calculate the rate of fetal growth dt dH larger early in development (say at t = 8 weeks) or late (say at t= 36 weeks)? dt (b) Is 1 dH (c) Repeat part (b) but for fractional rate of growth H dt

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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The size of an unborn fetus of a certain species depends on its age. Data for Head circumference (H) as a function of age (t) in weeks were fitted using the formula
H= - 29.89 + 1.899t - 0.306812 log t.
dH
(a) Calculate the rate of fetal growth
dt
dH
(b) Is
larger early in development (say at t= 8 weeks) or late (say at t= 36 weeks)?
dt
1 dH
(c) Repeat part (b) but for fractional rate of growth
H dt
Transcribed Image Text:The size of an unborn fetus of a certain species depends on its age. Data for Head circumference (H) as a function of age (t) in weeks were fitted using the formula H= - 29.89 + 1.899t - 0.306812 log t. dH (a) Calculate the rate of fetal growth dt dH (b) Is larger early in development (say at t= 8 weeks) or late (say at t= 36 weeks)? dt 1 dH (c) Repeat part (b) but for fractional rate of growth H dt
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