Algebra Equations Worksheets With Answer Keys Page 9

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Chapter 5
9
=
+
=
5. Let
f x
( )
cosh( ) sinh( )
x
x
and ( )
g x
cosh( ) sinh( )
x
x
.
( )
(a) Use calculus to show that
f x is an increasing function.
( )
( ) ( )
=
(b) Define
h x
f x g x
. Determine the critical values of h .
( )
( )
(c) Write the expressions in order from the smallest value to the largest value:
h
(0),
h
0 ,
f
1
.
Show the work that leads to your conclusion.

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