Consider the parabola : R $$ R $2$ given by $($t$)=($t t$^2).$ Let F : R $$ R be the function F$($x$)=$ cosh$($x$)$e$^$sinh$($x$)$ sinh$($x$)$e$^$cosh$($x$)+($e $1)$x$.$ Is the curve e : R $$ R $2$ given by e$($x$)=$ F$($x$)$ F$($x$)2$ a reparametrisation of $?$ Give a brief explanation of your answer. $[$Hint: What is F $0(0)?]$