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The position in feet of a race car along a straight track after t seconds is modeled by the function. s(t) = 8r? - ) (a) Find the average velocity (in ft/s) of the vehicle over the following time intervals to four decimal places. (i) [4, 4.1] ft/s (ii) [4, 4.01] ft/s (iii) [4, 4.001] ft/s

The position in feet of a race car along a straight track after t seconds is modeled by the function. s(t) = 8r? - ) (a) Find the average velocity (in ft/s) of the vehicle over the following time intervals to four decimal places. (i) [4, 4.1] ft/s (ii) [4, 4.01] ft/s (iii) [4, 4.001] ft/s

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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The position in feet of a race car along a straight track after t seconds is modeled by the function. s(t) = 8r? - (3 (a) Find the average velocity (in ft/s) of the vehicle over the following time intervals to four decimal places. (i) [4, 4.1] ft/s (ii) [4, 4.01] ft/s (iii) [4, 4.001] ft/s (iv) [4, 4.0001] ft/s (b) Use part (a) to draw a conclusion about the instantaneous velocity (in ft/s) of the vehicle at t = 4 seconds. (Round your answer to the nearest whole number.) ft/s
Transcribed Image Text:The position in feet of a race car along a straight track after t seconds is modeled by the function. s(t) = 8r? - (3 (a) Find the average velocity (in ft/s) of the vehicle over the following time intervals to four decimal places. (i) [4, 4.1] ft/s (ii) [4, 4.01] ft/s (iii) [4, 4.001] ft/s (iv) [4, 4.0001] ft/s (b) Use part (a) to draw a conclusion about the instantaneous velocity (in ft/s) of the vehicle at t = 4 seconds. (Round your answer to the nearest whole number.) ft/s
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