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= - 29.14 + 1.999² – 0.7587² 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)? 1 dH (c) Repeat part (b) but for fractional rate of growth H dt

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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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= - 29.14+ 1.9991? – 0.7587 log t.
dH
(a) Calculate the rate of fetal growth
dt
(b) Is
dH
larger early in development (say at t= 8 weeks) or late (say at t= 36 weeks)?
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= - 29.14+ 1.9991? – 0.7587 log t. dH (a) Calculate the rate of fetal growth dt (b) Is dH larger early in development (say at t= 8 weeks) or late (say at t= 36 weeks)? 1 dH (c) Repeat part (b) but for fractional rate of growth H dt
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