How do you go about solving this problem?
For each plane curve given below, find a rectangular equation. State the appropritate interval for $x$ and $y$.
$x(t) = e^{5t}$, $y(t) = e^t$, $t \in (-\infty, \infty)$.
Which is the correct rectangular equation?
(a) $x = \frac 1{y^5}$
(b) $y = x^5$
(c) $y = \frac 1{x^5}$
(d) $x = y^5$.