Average Birth Height of Boys Using data collected at Kaiser Hospital, pediatricians estimate that the average height of male children changes at the rate of 52.8706e-0.327t h'(e) = (1+ 2.449e-0.3277)2 inches/year, where the child's height h(t) is measured in inches and t, the child's age, is measured in years, with t=0 corresponding to birth. Find an expression h(t) for the average height of a boy at age t if the height at birth of an average child is 19.4 in. (Round all coefficients to 3 decimal places.) h(t) = What is the height of an average 5-year-old boy? (Round your answer to two decimal places.) in

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
Question
100%
Average Birth Height of Boys Using data collected at Kaiser Hospital, pediatricians estimate that the average height of male children changes at the rate of
52.8706e-0.3277t
h'(t) =
(1 + 2.449e-0.3277t)2
inches/year, where the child's height h(t) is measured in inches and t, the child's age, is measured in years, with t = 0 corresponding to birth. Find an expression h(t) for the average height of a boy at age t if the height at birth of an average child is 19.4 in. (Round
all coefficients to 3 decimal places.)
h(t) =
What is the height of an average 5-year-old boy? (Round your answer to two decimal places.)
in
Transcribed Image Text:Average Birth Height of Boys Using data collected at Kaiser Hospital, pediatricians estimate that the average height of male children changes at the rate of 52.8706e-0.3277t h'(t) = (1 + 2.449e-0.3277t)2 inches/year, where the child's height h(t) is measured in inches and t, the child's age, is measured in years, with t = 0 corresponding to birth. Find an expression h(t) for the average height of a boy at age t if the height at birth of an average child is 19.4 in. (Round all coefficients to 3 decimal places.) h(t) = What is the height of an average 5-year-old boy? (Round your answer to two decimal places.) in
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Differential Equation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt