2. This is the graph of f(x) 8 100 ma 6 = 1959 x+6 x-6. |||||> -8-7-6-5-4-3 1+1 2 3 4 5 6 7 8 a. Find the slope of the secant line through (6, 3) and (2.5, 17). | b. From the graph, how do you know there are two points on the graph of f(x) where the slope of the tangent lines at these points is equal to the slope of the secant line in part a? c. What relationship is there between the secant line and the tangent lines since the slopes are equal? d. Find the x coordinates of the two points of tangency. e. Find the equations of the tangent lines using the slope you found in part a.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Pls help ASAP

2. This is the graph of f(x)
-8-7-6-5-4-3
8
7
6
4
=
你个个个
x+6
x-6
+++
1+1 2 3 4 5 6 7 8 X
a. Find the slope of the secant line
through (6, 3) and (2.5, 17).
b. From the graph, how do you know
there are two points on the graph of
f(x) where the slope of the tangent
lines at these points is equal to the
slope of the secant line in part a?
c. What relationship is there between
the secant line and the tangent lines
since the slopes are equal?
d. Find the x coordinates of the two
points of tangency.
e. Find the equations of the tangent
lines using the slope you found in
part a.
Transcribed Image Text:2. This is the graph of f(x) -8-7-6-5-4-3 8 7 6 4 = 你个个个 x+6 x-6 +++ 1+1 2 3 4 5 6 7 8 X a. Find the slope of the secant line through (6, 3) and (2.5, 17). b. From the graph, how do you know there are two points on the graph of f(x) where the slope of the tangent lines at these points is equal to the slope of the secant line in part a? c. What relationship is there between the secant line and the tangent lines since the slopes are equal? d. Find the x coordinates of the two points of tangency. e. Find the equations of the tangent lines using the slope you found in part a.
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