Question

Let D be the domain of a twice differentiable function f.For all $X\epsilon D,f^{\prime \prime }\left(X\right)+f\left(X\right)=0$ and $f\left(X\right)=\int g\left(X\right)dx+constant$.If $h\left(X\right)=\left(f\right(X){)}^2+(g\left(X\right){)}^2$ and $h\left(o\right)=5$ then $h\left(2015\right)-h\left(2014\right)=$

• A. 5
• B. 3
• C. 0
• D. 1

Answer 1

The correct option is C 0

$f\left(x\right)$ is constant function
$h\left(2015\right)-h\left(2014\right)=5-5=0$