The following table is given for some values of $u\left(x\right)$ and $v\left(x\right)$ where $u\left(x\right)$ is an even function and $v\left(x\right)$ is an odd function.

Find the value of $u\left(v\right(-5\left)\right)$.

Simplify the composite function $a\left(b\left(c\left(x\right)\right)\right)$ given the following:

$a\left(x\right)=-x^3$

$b\left(x\right)=\cos\left(x\right)$

$c\left(x\right)=\sqrt{x}$

For the function $f\left(x\right)=11-11x+x^2$, calculate the simplified form of the difference quotient $\frac{f\left(x+h\right)-f\left(x\right)}{h}$.

Consider the functions $k\left(x\right)=x-2$, $l\left(x\right)=\sqrt{x-2}$, $m\left(x\right)=x+2$, and $n\left(x\right)=4x^2$. Express $y=4x$ as a composition involving one or more of the given functions.

If $g\left(x\right)=\mid x\mid$ and $h\left(x\right)=\frac{3}{x-2}$, what is $(g\circ h)\left(x\right)$?

Suppose $m\left(x\right)$ is an even function and $n\left(x\right)$ is an odd function, both defined for all real numbers. What is the nature of the function $j\left(x\right)=\frac{m\left(x\right)}{{\left(n\left(x\right)\right)}^2}$?