Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The curve is defined by the parametric equations
x
=
t
3
−
3
t
x=t^{3}-3t
x
=
t
3
−
3
t
and
y
=
t
2
+
2
y=t^{2}+2
y
=
t
2
+
2
. Determine all values of
t
t
t
for which the curve has a vertical tangent line. a)
There is no value of
t
for which the tangent is vertical.
\text{There is no value of }t\text{ for which the tangent is vertical.}
There is no value of
t
for which the tangent is vertical.
b)
t
=
0
t=0
t
=
0
only c)
t
=
−
1
and
t
=
1
t=-1\text{ and }t=1
t
=
−
1
and
t
=
1
d)
t
=
−
1
t=-1
t
=
−
1
only
Browse the problem library