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Mathematics
Mathematics
Problem
A continuous function
h
h
h
has an average value of
7
7
7
on the interval
[
0
,
4
]
[0,4]
[
0
,
4
]
. Which of the following must be true? a)
∫
0
4
h
(
x
)
d
x
=
28
\displaystyle\int_0^4 h(x)\,dx = 28
∫
0
4
h
(
x
)
d
x
=
28
b)
h
(
2
)
=
7
h(2)=7
h
(
2
)
=
7
c)
∫
0
4
h
(
x
)
d
x
=
7
4
\displaystyle\int_0^4 h(x)\,dx = \dfrac{7}{4}
∫
0
4
h
(
x
)
d
x
=
4
7
d)
h
(
x
)
≤
7
h(x)\le 7
h
(
x
)
≤
7
for all
x
∈
[
0
,
4
]
x\in[0,4]
x
∈
[
0
,
4
]
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