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4. Rate of Change in Context. Jennie was on her way to school when shortly after leaving realized she forgot her homework so she had to return home and then head back to school again. The function J(t) = 4t3 – 120t² + 900t represents the distance (in feet) Jennie is from her home after t minutes such that J'(t) represents the rate change of distance versus time at any given moment t. If you want to graph this function, I would suggest something like -5

4. Rate of Change in Context. Jennie was on her way to school when shortly after leaving realized she forgot her homework so she had to return home and then head back to school again. The function J(t) = 4t3 – 120t² + 900t represents the distance (in feet) Jennie is from her home after t minutes such that J'(t) represents the rate change of distance versus time at any given moment t. If you want to graph this function, I would suggest something like -5

Calculus: Early Transcendentals
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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4. Rate of Change in Context. Jennie was on her way to school when shortly after leaving realized she forgot her homework so she had to return home and then head back to school again. The function J(t) = 4t³ – 120t2 + 900t represents the distance (in feet) Jennie is from her home after t minutes such that J'(t) represents the rate change of distance versus time at any given moment t. If you want to graph this function, I would suggest something like -5 <t< 25 and -500 <J(t) < 2500, which based on my own exploring. a. Use rate of change function rules to find an explicit formula for J'(t). b. What is the rate of change of J(t) when t 3? What is the practical significance of this value? c. What is the rate of change of J(t) when t = 13? What is the practical significance of this value?
Transcribed Image Text:4. Rate of Change in Context. Jennie was on her way to school when shortly after leaving realized she forgot her homework so she had to return home and then head back to school again. The function J(t) = 4t³ – 120t2 + 900t represents the distance (in feet) Jennie is from her home after t minutes such that J'(t) represents the rate change of distance versus time at any given moment t. If you want to graph this function, I would suggest something like -5 <t< 25 and -500 <J(t) < 2500, which based on my own exploring. a. Use rate of change function rules to find an explicit formula for J'(t). b. What is the rate of change of J(t) when t 3? What is the practical significance of this value? c. What is the rate of change of J(t) when t = 13? What is the practical significance of this value?
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