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=−29.31+1.937t^2−0.9336t^2logt. (a) Calculate the rate of fetal growth dH/dt. (b) Is dH/dt larger early in development (say at t=8 weeks) or late (say at t=36 weeks)? (c) Repeat part (b) but for fractional rate of growth 1/H dH/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=−29.31+1.937t^2−0.9336t^2logt. (a) Calculate the rate of fetal growth dH/dt. (b) Is dH/dt larger early in development (say at t=8 weeks) or late (say at t=36 weeks)? (c) Repeat part (b) but for fractional rate of growth 1/H dH/dt.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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