0 View PremiumJul 25, 2023
Ep. 04 ⪩. ѕρу χ ƒαмιℓу ѕєαѕση 3 .⪨
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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Pantun Melayu [Sorong papan tarik papan]
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logic Idempotent law show x=xVx
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Pantun Melayu [Buah cempedak di luar pagar]
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2nd way: derivative (x^x)^x
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alternate way: count sum 1 + 2 + 3+... + n via "polynomial"
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2nd/3part: Maclaurin Series [ahp kia]
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3rd/3ways: sum Show 1+2+3+...+n = n(1+n)/2
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1st/2parts: Linear interpolation (2 given points)
4th/5ways: triangular num: Show t(n-1) + tn = n^2 where tn = nth triangular number
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1st/3 parts: Growing patterns
4 ways: Evaluate Σ(2k+1) k=1,20
Alternate way: trig integral ∫sec(x) dx= ln(tan(/π4+x/2)) + c
2nd/2 ways: FInd partial fractions (3x^2+9x-20)/(x^2+x-6)
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2 ways: Find a formula for d/dx[f^m(x) g^n(x)], where f & g are differentiable functions ...
1st/2ways: permutation Show P(n,2)+P(n,1)=n^2
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4th/4parts: Maclaurin Series [ahp kia]
EP 1 - Katainaka no Ossan Kensei ni Naru Season 2 Sub Indo
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1st way: count values nPn, nP(n-1), nP(n-2)