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Mathematics
Problem
Let
x
=
a
cos
t
+
t
x=a\cos t+t
x
=
a
cos
t
+
t
and
y
=
a
sin
t
y=a\sin t
y
=
a
sin
t
, where
a
>
0
a>0
a
>
0
. Find
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
at
t
=
0
t=0
t
=
0
. a)
0
0
0
b)
−
a
2
-a^{2}
−
a
2
c)
a
2
a^{2}
a
2
d)
a
a
a
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