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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 = - 30.89 + 1.822t2 - 0.9193t 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

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 = - 30.89 + 1.822t2 - 0.9193t 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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 = - 30.89 + 1.822t2 - 0.9193t2 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)? 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 = - 30.89 + 1.822t2 - 0.9193t2 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)? dt 1 dH (c) Repeat part (b) but for fractional rate of growth H dt
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