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If f''(x)=-f(x) and g(x)=f^(prime)(x) an...

If `f''(x)=-f(x) and g(x)=f^(prime)(x)` and `F(x)=(f(x/2))^2+(g(x/2))^2` and given that `F(5)=5,` then `F(10)` is (a)5 (b) 10 (c) 0 (d) 15

A

5

B

10

C

0

D

15

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A
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