Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
A particle moves along the curve defined by
x
=
t
−
sin
t
x = t - \sin t
x
=
t
−
sin
t
and
y
=
1
−
cos
t
y = 1 - \cos t
y
=
1
−
cos
t
. 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
3
t = \dfrac{\pi}{3}
t
=
3
π
. a)
4
4
4
b)
−
4
-4
−
4
c)
−
2
-2
−
2
d)
4
3
\dfrac{4}{\sqrt{3}}
3
4
Browse the problem library