Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.5: Applications Of Inner Product Spaces
Problem 93E: Use your schools library, the Internet, or some other reference source to find real-life...
Related questions
Question
Determine whether (a) through (c) are true, and give an explanation or counterexample.
|
a.
For linear functions, the slope of any secant line always equals the slope of any tangent line. |
|
b.
The slope of the secant line passing through the points P and Q is less than the slope of the tangent line at P. |
|
c.
Consider the graph of the parabola
f(x)=x2.
For
x>0
and
h>0,
the secant line through (x,f(x)) and
(x+h,f(x+h))
always has a greater slope than the tangent line at (x,f(x)). |
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