Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
For the family
h
k
(
x
)
=
sin
x
+
k
x
h_k(x)=\sin x+kx
h
k
(
x
)
=
sin
x
+
k
x
on the interval
[
0
,
π
]
[0,\pi]
[
0
,
π
]
, determine all real values of
k
k
k
for which the absolute maximum of
h
k
h_k
h
k
occurs at
x
=
π
x=\pi
x
=
π
. Express your answer as an inequality in
k
k
k
.
Browse the problem library