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Mathematics
Mathematics
Problem
The function
h
h
h
is differentiable, and for all values of
x
x
x
,
h
(
x
)
=
h
(
2
−
x
)
h(x) = h(2 - x)
h
(
x
)
=
h
(
2
−
x
)
. Which of the following statements must be true? I.
∫
0
2
h
(
x
)
d
x
>
0
\int_{0}^{2} h(x) dx > 0
∫
0
2
h
(
x
)
d
x
>
0
II.
h
′
(
1
)
=
0
h'(1) = 0
h
′
(
1
)
=
0
III.
h
′
(
0
)
=
h
′
(
2
)
=
1
h'(0) = h'(2) = 1
h
′
(
0
)
=
h
′
(
2
)
=
1
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