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Mathematics
Problem
Let
f
f
f
be twice differentiable with
f
(
4
)
=
7
f(4)=7
f
(
4
)
=
7
and
f
′
(
4
)
=
3
f'(4)=3
f
′
(
4
)
=
3
. Given that
f
′
′
(
4
)
<
0
f''(4)<0
f
′′
(
4
)
<
0
, determine whether the linear approximation at
x
=
4
x=4
x
=
4
will overestimate or underestimate
f
(
4.2
)
f(4.2)
f
(
4.2
)
. State your answer as “overestimate” or “underestimate.”
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