Lab 2 Solutions - Calculus II Maple Lab 9 Parametric Equations This lab will be a preview of the material we will be covering for the rest of chapter 10

Lab 2 Solutions - Calculus II Maple Lab 9 Parametric...

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Calculus II Maple Lab 9 Parametric Equations This lab will be a preview of the material we will be covering for the rest of chapter 10, called parametric equations. These are graphs in the x - y plane that are defined through functions of a parameter, generally t . To show how they work, I will make you plot the parametric equation x = t + 2 sin(2 t ) y = t + 2 cos(5 t ) 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 different periods, so they won’t be moving at the same speed. And those t ’s added in on the outside are clearly there 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 you along 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 and brackets.

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