Answer
$a=3$, $h=2$
Work Step by Step
The slope of the secant line is:
$\frac{f(5)-f(3)}{5-3}=\frac{f(5)-f(3)}{2}$
We need to find $a$ and $h$ so that
$\frac{f(a+h)-f(a)}{h}=\frac{f(5)-f(3)}{2}$
From the above equation, we get
$h=2$ and $a=3$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 3 - Differentiation - 3.1 Definition of the Derivative - Preliminary Questions - Page 102: 3
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