Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The curve is defined for
−
2
≤
t
≤
2
-2\le t\le 2
−
2
≤
t
≤
2
by
x
(
t
)
=
t
2
+
1
x(t)=t^{2}+1
x
(
t
)
=
t
2
+
1
and
y
(
t
)
=
t
3
−
3
t
y(t)=t^{3}-3t
y
(
t
)
=
t
3
−
3
t
. Determine all values of
t
t
t
in this interval at which the curve has a horizontal tangent. a)
t
=
−
1
,
0
,
1
t=-1,\,0,\,1
t
=
−
1
,
0
,
1
b)
t
=
0
t=0
t
=
0
c)
t
=
−
1
,
1
t=-1,\,1
t
=
−
1
,
1
d)
t
=
1
t=1
t
=
1
Browse the problem library