Average Birth Height of Boys Using data collected at Kaiser Hospital, pediatricians estimate that the average height of male children chan 52.8706e-0.3277t (1 + 2.449e-0.3277ty2 h'(e) 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. Fr age t if the height at birth of an average child is 19.4 in. (Round all coefficients to 3 decimal places.) h(t) =

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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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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-0.3277t2
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 6-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-0.3277t2 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 6-year-old boy? (Round your answer to two decimal places.) in
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