Parametric Equations Flashcards

(9 cards)

1
Q

What is a parameter

A

A third variable (t)

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2
Q

Explicit or implicit

A

y = f(x) or not

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3
Q

Parametric Equation of Circle

A

Number that comes before trig - radius
Number added to trig, x or y coordinate

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4
Q

Eliminating trig paratricity

A

Rearrange for trig
Sub into equality

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5
Q

Parametric sketching

A

Find y, x intercept
Find asymtotes (Where there are no solutions)
Location of stationary points

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6
Q

How to find verticle tangent

A

This is where dx/dy = 0

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7
Q

Parametric integration

A

Solving for t

y dx/dt dt

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8
Q

Find area enclosed by loop:

A

If t1>t2 is clockwise, normal
If anticlockwise ||

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9
Q

Trig involved

A

Use identities
Remember sqrt

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