1st/2ways: 1+2+3+...+(n-1)+n+(n-1)+...+3+2+1 = n^2

A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?

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Black Swan (2010) - Sisi Gelap Kesempurnaan: Antara Obsesi dan Kegilaan 🩰

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[260228] Gakuen Idolmaster Music Festival DAY 1

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set Show X∩ ((Y∪ X') ∩ Y') = ∅

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2nd/3ways: sum Show 1+2+3+...+n=n(1+n)/2

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HoG ( Best of Lucha Libre)

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multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.

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2nd/2ways: count perm Show P(n,n)=P(n,n-1)

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[Vietsub] Ma Đạo Tổ Sư Phần 1: Phần Kiếp Trước - Tập 5 (Ngoại Đạo)

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2nd way: trig integral ∫sin(x/a) dx

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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed

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Roorkee 1976 RET 1991Hindustan: trig integral 1/(sin^2(x) cos^2(x)) dx

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