Parametric Equations - Basics (AQA A-Level Mathematics): Quizzes

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Parametric Equations - Basics
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What do parametric equations express xx and yy as?

Functions of a third variable

What is the typical letter used for the parameter in parametric equations?

tt

What does the parameter tt do in parametric equations?

Controls both xx and yy

What is the formula for dydx\frac{dy}{dx} in parametric equations?

dydtdxdt\frac{\frac{dy}{dt}}{\frac{dx}{dt}}

What is the formula for area under a parametric curve?

ydxdtdt\int y \frac{dx}{dt} dt

What are parametric equations useful for modelling?

Motion or difficult curves

What is a parameter?

A third, non-coordinate value

What is a Cartesian equation?

Written only in terms of (x,y)(x, y)

What is the first step to convert parametric to Cartesian equations?

Rearrange one equation to get t=...t = ...

After finding t=...t = ..., what do you do to get the Cartesian equation?

Substitute into the other equation

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