1 Suppose that L is a location function of an object, given as L(t) : We 2t – 3 will compute the instantaneous velocity of the object at t as follows. Use exact values. First we will compute and simplify L(t + h). L(t+ h) | Then we compute and simplify the average velocity between t and t + h. L(t + h) – L(t) h 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 h0

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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Question
1
Suppose that L is a location function of an object, given as L(t) =
2t
We
3
will compute the instantaneous velocity of the object at t as follows. Use exact
values.
First we will compute and simplify L(t+ h).
L(t + h) =
Then we compute and simplify the average velocity between t and t + h.
L(t + h) – L(t)
-
h
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
h0
%3D
Transcribed Image Text:1 Suppose that L is a location function of an object, given as L(t) = 2t We 3 will compute the instantaneous velocity of the object at t as follows. Use exact values. First we will compute and simplify L(t+ h). L(t + h) = Then we compute and simplify the average velocity between t and t + h. L(t + h) – L(t) - h 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 h0 %3D
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