(Solved): Consider the following parametric equations. a. Eliminate the parameter to obtain an equation in \( ...

Consider the following parametric equations. a. Eliminate the parameter to obtain an equation in \( x \) and \( y \). b. Describe the curve and indicate the positive orientation. \[ x=4 e^{2 t}, y=e^{t}+2 ; 0 \leq t \leq 7 \] a. Eliminate the parameter to obtain an equation in \( \mathrm{x} \) and \( \mathrm{y} \). (Type an equation.)