Chapter 10 - Review - Exercises - Page 720: 3

Cartesian equation: $y=e^{2x}$

The graph of the parametric equation $x=\ln t$, $y=t^2$ is given below. Eliminate the variable of $t$: $x=\ln t\Rightarrow t=e^x$ Substituting into $y=t^2$, we get $y=(e^x)^2$ $y=e^{2x}$ So, the Cartesian equation is $y=e^{2x}$.