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Mathematics
Mathematics
Problem
The answers are in Chapter 24. 5. On what interval is the curve
y
=
sin
x
+
3
cos
x
y=\sin x+\sqrt{3} \cos x
y
=
sin
x
+
3
cos
x
decreasing on
[
0
,
π
]
[0, \pi]
[
0
,
π
]
? (A)
(
0
,
π
6
)
\left(0, \frac{\pi}{6}\right)
(
0
,
6
π
)
(B)
(
π
6
,
π
)
\left(\frac{\pi}{6}, \pi\right)
(
6
π
,
π
)
(C)
(
π
2
,
1
)
\left(\frac{\pi}{2}, 1\right)
(
2
π
,
1
)
(D) The function is always increasing. (A)
(
0
,
π
6
)
\left(0, \frac{\pi}{6}\right)
(
0
,
6
π
)
(B)
(
π
6
,
π
)
\left(\frac{\pi}{6}, \pi\right)
(
6
π
,
π
)
(C)
(
π
2
,
1
)
\left(\frac{\pi}{2}, 1\right)
(
2
π
,
1
)
(D) The function is always increasing.
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