Transverse waves y$1=$ A$1$ sin $($k$1$x $1$t$)$ and y$2=$ A$2$ sin $($k$2$x $2$t$),$ with A$2>$ A$1,$ start at opposite ends of a long rope when t $=0.$ The magnitude of the maximum displacement, y$,$ of the rope at any point is a$.$ A$1+$ A$2$ b$.$ A$2$ A$1$ c$.$ A$1$ A$2$ d$.($A$1$ A$2)$k$1/$k$2$ e$.($A$2$ A$1)$k$2/$k$1$