Determine the intervals on which the following function is continuous. \( f(x)=\frac{x-10}{x^{2}-100} \)

Find the indicated derivative for the function. \( h^{\prime \prime}(x) \) for \( h(x)=5 x^{-3}-9 x^{-6} \) \( h^{\prime \prime}(x)=\square \)

Find the indefinite integral. \( \int \frac{1}{2+5 x^{6}}\left(30 x^{5}\right) d x \) \( \int \frac{1}{2+5 x^{6}}\left(30 x^{5}\right) \cdot d x=\square \)

Find \( C_{x y}(x, y) \) if \( C(x, y)=8 x^{2}+3 x y-9 y^{2}+3 x-3 y-3 \) \( C_{x y}(x, y)=\square \)

\( \left. \begin{array} { l } { y = \cos ^ { 3 } ( 5 + 8 x ) } \\ { y ^ { \prime } - ? } \end{array} \right. \)

Find the area bounded by the graphs of the indicated equations over the given interval. \[ y=-x^{2}+29 ; y=0 ;-3 \leq x \leq 3 \] The area is \( \square \) square units.