# FP2

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• Created by: bigmdog
• Created on: 16-05-14 15:01
Express the general term Ur of a series
f(r) - f(r + 1) then [n_Σ_r=1 * Ur] = [n_Σ_r=1 * (f(r) - f(r + 1))]
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A complex number can be expressed in three forms
z = x+ iy Or z + r(cosθ +isinθ) Or z = re^iθ
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De Moivre's theorem for z = r(cosθ + isinθ)
z^n = [r(cosθ + isinθ)]^n = r^n[(cos(nθ) +isin(nθ)]
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Express sin^n(θ) or cos^n(θ) in terms of of either cos(kθ) or sin(kθ)
z + 1/z = 2cosθ Or z^n = 1/z^n = 2cos(nθ) Or z - 1/z = 2isinθ Or z^n - 1/z^n = 2isin(nθ)
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Auxiliary equation for d^2y/dx^2
am^2 + bm + c = 0
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General solution if the auxiliary equation has two real distinct roots (b^2 > 4ac)
y = Ae^(αx) + Be(βx)
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## Other cards in this set

### Card 2

#### Front

A complex number can be expressed in three forms

#### Back

z = x+ iy Or z + r(cosθ +isinθ) Or z = re^iθ

### Card 3

#### Front

De Moivre's theorem for z = r(cosθ + isinθ)

#### Back ### Card 4

#### Front

Express sin^n(θ) or cos^n(θ) in terms of of either cos(kθ) or sin(kθ)

#### Back ### Card 5

#### Front

Auxiliary equation for d^2y/dx^2

#### Back 