Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
Let a curve
y
=
f
(
x
)
,
f
(
x
)
≥
0
,
∀
x
∈
R
y = f(x), f(x) \ge 0, \forall x \in R
y
=
f
(
x
)
,
f
(
x
)
≥
0
,
∀
x
∈
R
has property that for every point
P
P
P
on the curve length of subnormal is equal to abscissa of
P
P
P
. If
f
(
1
)
=
3
f(1) = 3
f
(
1
)
=
3
, then
f
(
4
)
f(4)
f
(
4
)
is equal to a.
−
2
6
-2\sqrt{6}
−
2
6
b.
2
6
2\sqrt{6}
2
6
c.
3
5
3\sqrt{5}
3
5
d. None of these
Browse the problem library