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Mathematics
Problem
Consider
f
(
x
)
=
2
sin
x
+
cos
2
x
f(x)=2\sin x+\cos 2x
f
(
x
)
=
2
sin
x
+
cos
2
x
defined on
[
0
,
2
π
]
[0,2\pi]
[
0
,
2
π
]
. Its maximum value on this interval is a)
2
2
2
b)
3
3
3
c)
3
2
\dfrac{3}{2}
2
3
d)
5
\sqrt{5}
5
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