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 = -29.16 +1.026t² -0.43611² logt. (a) Calculate the rate of fetal growth dH dt dH dt (c) Repeat part (b) but for fractional rate of growth (b) Is larger early in development (say at t = 8 weeks) or late (say at t= 36 weeks)? 1 dH 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
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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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= -29.16 +1.026t² -0.4361t² logt.
(a) Calculate the rate of fetal growth
dH
(b) Is larger early in development (say at t = 8 weeks) or late (say at t= 36 weeks)?
dt
dH
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= -29.16 +1.026t² -0.4361t² logt. (a) Calculate the rate of fetal growth dH (b) Is larger early in development (say at t = 8 weeks) or late (say at t= 36 weeks)? dt dH dt 1 dH (c) Repeat part (b) but for fractional rate of growth H dt
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