Given $t(x)= x^{-2}$ and $r(x) = 54 x^{-4}$,

(a) Find $v$ such that $t(v)=r(v)$. $\ v =$ (give an exact answer)

(b) For $0 < x < v$, which is greater, $t(x)$ or $r(x)$?

A. $t(x) = x^{-2}$ is larger over this interval.
B. $r(x) = 54 x^{-4}$ is larger over this interval.

(c) For $x > v$, which is greater, $t(x)$ or $r(x)$?

A. $t(x) = x^{-2}$ is larger over this interval.
B. $r(x) = 54 x^{-4}$ is larger over this interval.