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

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Parametric Equations - Basics
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What do parametric equations express x and y as?

Functions of a third variable t

What is the parameter t in parametric equations?

A third variable controlling x and y

What is the formula for gradient of a parametric curve?

dydx=dy/dtdx/dt\frac{dy}{dx}=\frac{dy/dt}{dx/dt}

What formula finds area under a parametric curve?

∫ydxdtdt\int y \frac{dx}{dt} dt

What is a Cartesian equation?

Written in terms of (x, y) only

Why use parametric equations?

Model motion/complex curves

First step converting parametric to Cartesian?

Rearrange one equation for t

After finding t = ..., what's the next step?

Substitute into the other equation

What is the general form of parametric equations?

x=f(t),y=g(t)x=f(t), y=g(t)

From x=5t+3x=5t+3, rearranging for t gives?

t=x−35t=\frac{x-3}{5}

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