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Mathematics
Mathematics
Problem
Consider the curve given by
x
(
t
)
=
cos
t
x(t)=\cos t
x
(
t
)
=
cos
t
and
y
(
t
)
=
t
sin
t
y(t)=t\sin t
y
(
t
)
=
t
sin
t
for
0
<
t
<
π
0<t<\pi
0
<
t
<
π
. Determine the value of
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
at
t
=
π
4
t=\dfrac{\pi}{4}
t
=
4
π
.
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