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Mathematics
Mathematics
Problem
The function
g
(
x
)
=
x
g(x)=\sqrt{x}
g
(
x
)
=
x
is concave down for
x
>
0
x>0
x
>
0
. The tangent line to
g
g
g
at
x
=
9
x=9
x
=
9
is used to estimate
g
(
9.4
)
g(9.4)
g
(
9.4
)
. Which interval must contain the actual value of
g
(
9.4
)
g(9.4)
g
(
9.4
)
? a)
(
3.07
,
3.09
)
(3.07,\,3.09)
(
3.07
,
3.09
)
b)
(
3.04
,
3.06
)
(3.04,\,3.06)
(
3.04
,
3.06
)
c)
(
3.06
,
3.07
)
(3.06,\,3.07)
(
3.06
,
3.07
)
d)
(
3.02
,
3.04
)
(3.02,\,3.04)
(
3.02
,
3.04
)
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