2nd/3ways: derivative If f(x)=(x-a)(x-b)(x-c), show f'(x)/f(x)=1/(x-1)+1/(x-b)+1/(x-c)

Conversion: Permutation - Combination vice versa

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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logic Idempotent law show x=xVx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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Review: Linear form, Quadratic form & Bilinear form

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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2nd way: integral ∫ log √x(x^n) dx

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Swinburne U 2nd way: e^(-e^x) e^x dx

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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alternate way: count sum 1+2+3+ ... +n

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2nd/2ways: add math sum a + (a+d) + (a+2d) + ... + (a+(n-1)d) ?

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trig Show cos(4x) = 8 cos^4(x) -cos^2(x)+1

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Cultural Exchange With a Game Centre Girl Episode 7

AnimeWorldTVOfficial

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Which of the following do NOT constitute a set & WHY?

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The Apothecary Diaries [Kusuriya No Hitorigoto] S2 Ep 1 - 3 (Eng Sub)

Orion Supernova

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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2

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Difference of 2 nonconsecutive triangular numbers

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

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Screen Recording 2024-05-05 at 11.22.54 PM

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2 ways: Σ 1? where k=m to n

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