# Calculus

Calculus Level 2

If $$f''(x)=-f(x)$$ and $$g(x)=f'(x)$$ and $$F(x)= \left(f \left(\dfrac x2\right)\right)^2+\left(g \left(\dfrac x2\right)\right)^2$$ and given that $$F(5)=5$$, find $$F(10)$$.

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