1.2) Complete the P(5,2.5). Tangent Interval point P (5,2.5) Tangent point P (5,2.5) 4≤x≤5 4.5≤x≤5 4.9≤x≤5 4.99≤x≤5 Interval 5≤x≤6 5≤x≤5.5 5≤x≤5.1 5≤x≤5.01 b) how does the slope of 1 - SP Increment, h 0.32 and determine the instantaneous rate of change at 1 Increment, h Second point Q Slope of secant PQ (a+h), f(a+h)) f(a+h)-f(a) h Second point Q (a+h), f(a+h)) the time increm Slope of secant PQ f(a+h)-f(a) h decreases?
1.2) Complete the P(5,2.5). Tangent Interval point P (5,2.5) Tangent point P (5,2.5) 4≤x≤5 4.5≤x≤5 4.9≤x≤5 4.99≤x≤5 Interval 5≤x≤6 5≤x≤5.5 5≤x≤5.1 5≤x≤5.01 b) how does the slope of 1 - SP Increment, h 0.32 and determine the instantaneous rate of change at 1 Increment, h Second point Q Slope of secant PQ (a+h), f(a+h)) f(a+h)-f(a) h Second point Q (a+h), f(a+h)) the time increm Slope of secant PQ f(a+h)-f(a) h decreases?
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
just 1a)
Transcribed Image Text:2
1.a) Complete the table for f(x) = 3x -0.5x² and determine the instantaneous rate of change at
P(5,2.5).
Tangent
point P
(5,2.5)
Tangent
point P
(5,2.5)
Interval
4≤x≤5
4.5≤x≤5
4.9≤x≤5
4.99≤x≤5
Interval
5≤x≤6
5≤x≤5.5
5≤x≤5.1
Increment, h
1
Increment, h
1
Second point Q
(a+h), f(a+h))
Second point Q
(a+h), f(a+h))
Slope of secant PQ
f(a+h)-f(a)
h
Slope of secant PQ
f(a+h) − f(a)
h
5≤x≤5.01
b) how does the slope of PQ change as the time increment decreases?
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