Suppose that L is a location function of an object, given as L(t) = We will compute the 3t + 7 instantaneous velocity of the object at as follows. Use exact values. First we will compute and simplify L(t + h). L(t + h) = %3D Then we compute and simplify the average velocity between t and t+ h. L(t + h) L(t) %3D The instantaneous velocity of the object at t is the limit of the average velocity as h approaches zero. L(t + h) L(t) L'(t) lim %3D

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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Suppose that L is a location function of an object, given as L(t) =
We will compute the
3t + 7
instantaneous velocity of the object at t as follows. Use exact values.
First we will compute and simplify L(t + h).
L(t + h) =
%3D
Then we compute and simplify the average velocity between t andt+ h.
L(t + h) L(t)
The instantaneous velocity of the object at t is the limit of the average velocity as h approaches zero.
L(t + h) L(t)
L'(t)
lim
hy0
%3D
Transcribed Image Text:Suppose that L is a location function of an object, given as L(t) = We will compute the 3t + 7 instantaneous velocity of the object at t as follows. Use exact values. First we will compute and simplify L(t + h). L(t + h) = %3D Then we compute and simplify the average velocity between t andt+ h. L(t + h) L(t) The instantaneous velocity of the object at t is the limit of the average velocity as h approaches zero. L(t + h) L(t) L'(t) lim hy0 %3D
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