count Show Σ k^2 = ΣΣmin(i,j) where i,j,k=1 to n

trig Show sec^4(x)-tan^4(x) = sec^2(x)+tan^2(x)

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Pantun Melayu [Buah cempedak di luar pagar]

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1st/3parts: Checkpoint 1.1 STPM Math T Sem2

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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

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Growing patterns #3

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1st/2parts: Linear interpolation (2 given points)

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I.B.P Derivation [Integration By Parts]

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Find the derivative of f(x)=(1+2x^2)(x-x^2) in 2 ways

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3 ways: Derivative y=x^(m/n)

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2nd way: derivative x^n w.r.t x^x

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Solve x(x-1)dy/dx - (x-2)y=x^3(2x-1) via Integrating Facto[IF]

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Solve cos^2(x) dy/dx +y = tan(x) via Integrating factor[IF]

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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3 ways: rational function integral ∫2x/(x+1)^2 dx

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Large sq made up of 100 smaller unit sq. Border of the large sq are colored red. WithOUT counting ..

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trig Evaluate each expression below withOUT using a calculator.

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Derivative 1) tanh(ln(x)) 2) (x^2-1)/(x^2+1)

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trig Show 1/(1+cos(x)) = 1/2 sec^2(x/2)

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2nd/2ways: Taylor series of cos(x)

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