Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Suppose
f
(
x
)
=
e
a
x
+
e
b
x
f(x) = e^{ax} + e^{bx}
f
(
x
)
=
e
a
x
+
e
b
x
, where
a
≠
b
a \neq b
a
=
b
and
f
′
′
(
x
)
−
2
f
′
(
x
)
−
15
f
(
x
)
=
0
for all
x
.
Then, the value of
∣
a
+
b
∣
is equal to ..... .
f''(x) - 2f'(x) - 15f(x) = 0 \text{ for all } x. \text{ Then, the value of } |a+b| \text{ is equal to ..... .}
f
′′
(
x
)
−
2
f
′
(
x
)
−
15
f
(
x
)
=
0
for all
x
.
Then, the value of
∣
a
+
b
∣
is equal to ..... .
Browse the problem library