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Mathematics
Mathematics
Problem
Let the particle’s position be given by
r
=
θ
2
r=\theta^{2}
r
=
θ
2
with
θ
=
t
2
\theta=t^{2}
θ
=
t
2
. What is
d
y
d
t
\dfrac{dy}{dt}
d
t
d
y
at
t
=
1
t=1
t
=
1
? a)
4
cos
1
−
2
sin
1
4\cos 1 - 2\sin 1
4
cos
1
−
2
sin
1
b)
2
sin
1
+
2
cos
1
2\sin 1 + 2\cos 1
2
sin
1
+
2
cos
1
c)
4
sin
1
+
2
cos
1
4\sin 1 + 2\cos 1
4
sin
1
+
2
cos
1
d)
4
sin
1
+
cos
1
4\sin 1 + \cos 1
4
sin
1
+
cos
1
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