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Mathematics
Mathematics
Problem
The ellipse is represented parametrically by
x
=
4
cos
θ
,
y
=
3
sin
θ
x=4\cos\theta,\; y=3\sin\theta
x
=
4
cos
θ
,
y
=
3
sin
θ
. Determine all values of
θ
\theta
θ
in the interval
0
≤
θ
≤
2
π
0\le\theta\le2\pi
0
≤
θ
≤
2
π
for which the slope of the tangent is
−
3
-\sqrt3
−
3
.
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