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Mathematics
Mathematics
Problem
The motion of a point is described by
x
=
cos
t
,
y
=
sin
t
x=\cos t,\;y=\sin t
x
=
cos
t
,
y
=
sin
t
. Calculate
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
at the instant
t
=
π
4
t=\dfrac{\pi}{4}
t
=
4
π
.
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