The point P(9, 6) lies on the curve y = √x + 3. 6.1 6 5.9 8.5 9.5 10 Q If Q is the point (x, √x + 3), find the slope of the secant line PQ for the following values of x. Enter at least 3 decimal places in your answers. If = 9.1, the slope of PQ is: If x=9.01, the slope of PQ is: If z = 8.9, the slope of PQ is: If x = 8.99, the slope of PQ is: Based on the above results, guess the instantaneous rate of change of y = √+3 at P(9, 6).

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.3: Linear Functions And Slope
Problem 104E
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Question
Q
A
N
The point P(9, 6) lies on the curve y = √x + 3.
6.1
6
5.9
8.5
W
If Q is the point (x, √x + 3), find the slope of the secant line PQ for the following values of a.
Enter at least 3 decimal places in your answers.
If = 9.1, the slope of PQ is:
If x=9.01, the slope of PQ is:
If x= 8.9, the slope of PQ is:
If = 8.99, the slope of PQ is:
Based on the above
#3
results, guess the instantaneous rate of change of y = √+3 at P(9, 6).
E
S D
с
$
10
%
5
FL
R T Y
G
&
H
K
Transcribed Image Text:Q A N The point P(9, 6) lies on the curve y = √x + 3. 6.1 6 5.9 8.5 W If Q is the point (x, √x + 3), find the slope of the secant line PQ for the following values of a. Enter at least 3 decimal places in your answers. If = 9.1, the slope of PQ is: If x=9.01, the slope of PQ is: If x= 8.9, the slope of PQ is: If = 8.99, the slope of PQ is: Based on the above #3 results, guess the instantaneous rate of change of y = √+3 at P(9, 6). E S D с $ 10 % 5 FL R T Y G & H K
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