count quick review: Permutation vs Combination

count comb: values nCn, nC(n-1), nC(n-2)

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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2nd/3ways: trig integral ∫sec(x) dx

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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...

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logic Idempotent law show x=xVx

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

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Pantun Melayu [Buah cempedak di luar pagar]

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

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2nd/2 way: Expand e^sin(x) by Maclaurin's Theorem

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implicit differentiation Find dy/dx, sin(xy) +x/y = x^2 -y

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2nd/2 parts: sum Find the sum 2,3,14,24,37,... nth term

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2 ways: Find a formula for d/dx[f^m(x) g^n(x)], where f & g are differentiable functions ...

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1st/3 parts: Growing patterns

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alternate way: count sum 1 + 2 + 3+... + n via "polynomial"

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Careful: arc sin(sin(5π/4)) ≠ ...

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trig integral cos^2(x) sin(x) dx

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The pth, qth, & rth terms of an AP are x,y,z respectively.

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UC Davis#2: 2nd way integral ∫(2x+3)/(x^2-9) dx [integration by partial fraction]

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Which pairs are equivalent via truth table?

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example: Mean, Median & Mode

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