Decreasing Interval
1. The problem is to find the interval where the function $$y=\frac{1}{16}-x^{2}$$ is decreasing.
2. The first step is to find the derivative of the function to analyze its increasing/decreasing behavior.
The derivative is $$y'=0 - 2x = -2x$$.
3. The function is decreasing where its derivative is negative, i.e., $$y'<0$$.
Set inequality: $$-2x < 0$$.
4. Solve for $$x$$: Dividing both sides by -2 (note: sign changes because dividing by negative)
$$x > 0$$.
5. Therefore, the function is decreasing for $$x > 0$$.
Final answer: The function $$y=\frac{1}{16} - x^{2}$$ is decreasing on the interval $$(0, \infty)$$.