The time it takes an average athlete to swim 100 meters freestyle at age X can be modeled as t(x) = 0.181x² - 8.463x + 147.376 seconds. A) Find the instantaneous rate of change of the time for a 28-year-old swimmer to swim 100 meters freestyle: NOTE: You must pick the interval(s). Use 6 decimal places in your calculations when applicable. Round your final answer to 3 decimal places./i>

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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The time it takes an average athlete to swim 100 meters freestyle at age X can be modeled as
t(x) = 0.181x² - 8.463x + 147.376 seconds.
A) Find the instantaneous rate of change of the time for a 28-year-old swimmer to swim 100 meters freestyle:
NOTE: You must pick the interval(s). Use 6 decimal places in your calculations when applicable. Round your final answer to
3 decimal places./i>
Transcribed Image Text:The time it takes an average athlete to swim 100 meters freestyle at age X can be modeled as t(x) = 0.181x² - 8.463x + 147.376 seconds. A) Find the instantaneous rate of change of the time for a 28-year-old swimmer to swim 100 meters freestyle: NOTE: You must pick the interval(s). Use 6 decimal places in your calculations when applicable. Round your final answer to 3 decimal places./i>
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