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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
3
sin
2
x
+
4
cos
2
x
f(x)=3\sin 2x+4\cos 2x
f
(
x
)
=
3
sin
2
x
+
4
cos
2
x
for
0
≤
x
≤
π
0\le x\le\pi
0
≤
x
≤
π
. a. (i) Find the maximum value of
f
(
x
)
f(x)
f
(
x
)
in the given interval. b. (ii) Find the minimum value of
f
(
x
)
f(x)
f
(
x
)
in the given interval. c. (iii) Determine all values of
x
x
x
in
[
0
,
π
]
[0,\pi]
[
0
,
π
]
at which each of these extreme values occurs.
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