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Mathematics
Mathematics
Problem
If
f
′
(
x
)
=
g
(
x
)
f'(x) = g(x)
f
′
(
x
)
=
g
(
x
)
and
g
′
(
x
)
=
−
f
(
x
)
g'(x) = -f(x)
g
′
(
x
)
=
−
f
(
x
)
for all real
x
x
x
and
f
(
5
)
=
2
=
f
′
(
5
)
f(5) = 2 = f'(5)
f
(
5
)
=
2
=
f
′
(
5
)
, then
f
2
(
10
)
+
g
2
(
10
)
f^2(10) + g^2(10)
f
2
(
10
)
+
g
2
(
10
)
equals a. 2 b. 4 c. 8 d. None of these
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