# If f''(x)= -f(x) and g(x)= f'(x) and F(x) = (f(x/2))^2 + (g(x/2))^2 and given that F(5) = 5 then F(10) equals ? (hint : answer is an integer from 0 - 9)

##### 1 Answer

May 14, 2018

5

#### Explanation:

Let

where we have used

Thus

Since