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Mathematics
Mathematics
Problem
Consider the function
y
=
e
k
x
sin
(
x
)
y = e^{kx} \sin(x)
y
=
e
k
x
sin
(
x
)
where
k
k
k
is a constant. If the
x
x
x
-coordinate of the first local maximum (for
x
>
0
x > 0
x
>
0
) is at
x
=
π
3
x = \frac{\pi}{3}
x
=
3
π
, determine the value of
k
k
k
.
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