According to a particular model for predicting the height of preschool children, the rate of growth of a typical preschool child is R(t) = 24.348e-0.993t + 6.41 centimeters/year, where t is measured in years. The height of a typical 3-month-old preschool child is 58.6300 cm. (a) Find a model for predicting the height of a typical preschool child at age t. (Round numerical values to four decimal places.) H(t) = (b) Use the result of part (a) to estimate the height of a typical 6-year-old child. (Round your answer to two decimal places.) cm Additional Materials
According to a particular model for predicting the height of preschool children, the rate of growth of a typical preschool child is R(t) = 24.348e-0.993t + 6.41 centimeters/year, where t is measured in years. The height of a typical 3-month-old preschool child is 58.6300 cm. (a) Find a model for predicting the height of a typical preschool child at age t. (Round numerical values to four decimal places.) H(t) = (b) Use the result of part (a) to estimate the height of a typical 6-year-old child. (Round your answer to two decimal places.) cm Additional Materials
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:According to a particular model for predicting the height of preschool children, the rate of growth of a typical preschool child is
R(t) = 24.348e-0.993t
<t< 6
4
centimeters/year, wheret is measured in years. The height of a typical 3-month-old preschool child is 58.6300 cm.
(a) Find a model for predicting the height of a typical preschool child at age t. (Round numerical values to four decimal places.)
H(t)
(b) Use the result of part (a) to estimate the height of a typical 6-year-old child. (Round your answer to two decimal places.)
cm
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