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Mathematics
Mathematics
Problem
Let
g
g
g
be a differentiable function with derivative
g
′
(
t
)
=
2
g'(t)=2
g
′
(
t
)
=
2
for
0
≤
t
≤
5
0\le t\le 5
0
≤
t
≤
5
. If
g
(
0
)
=
3
g(0)=3
g
(
0
)
=
3
, determine the value of
g
(
5
)
g(5)
g
(
5
)
.
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