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Mathematics
Mathematics
Problem
Let
g
(
x
)
=
(
cos
(
3
x
)
+
2
sin
x
)
g(x)=\bigl(\cos(3x)+2\sin x\bigr)
g
(
x
)
=
(
cos
(
3
x
)
+
2
sin
x
)
. a. Part 1: (a) Compute
g
′
′
′
(
0
)
g'''(0)
g
′′′
(
0
)
. b. Part 2: (b) Determine
g
(
4
)
(
π
3
)
g^{(4)}\!\left(\dfrac{\pi}{3}\right)
g
(
4
)
(
3
π
)
in exact form.
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