Calculus IIMaple Lab 9Parametric EquationsThis lab will be a preview of the material we will be covering for the rest of chapter 10, called parametricequations. These are graphs in thex-yplane that are defined through functions of a parameter, generallyt.To show how they work, I will make you plot the parametric equationx=t+ 2 sin(2t)y=t+ 2 cos(5t)Before we dive into Maple let’s look at these equations and see what might be going on.First of all,there are some trig functions, which means periodic motion back and forth. However, they’re at differentperiods, so they won’t be moving at the same speed. And thoset’s added in on the outside are clearlythere just to mess with us. So let’s plot this and see what it looks like.First let’s define the parametric equations (this isn’t necessary, but I like to do it, so I’m dragging youalong with me).x:=t->t+2*sin(2*t);y:=t->t+2*cos(5*t);Now let’s plot it. When typing in the following, make sure to be careful with both the parentheses andbrackets.