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Mathematics
Mathematics
Problem
Determine all value(s)
c
c
c
in the open interval
(
0
,
4
)
(0,4)
(
0
,
4
)
such that the instantaneous rate of change of the function
f
(
x
)
=
x
2
−
3
x
+
2
f(x)=x^{2}-3x+2
f
(
x
)
=
x
2
−
3
x
+
2
on the closed interval
[
0
,
4
]
[0,4]
[
0
,
4
]
equals its average rate of change over that interval. Give your answer(s) as exact numbers.
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