2 Views PremiumJun 27, 2023
Conversion: Permutation - Combination vice versa
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logic Idempotent law show x=xVx
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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]
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Review: Linear form, Quadratic form & Bilinear form
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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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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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Swinburne U 2nd way: e^(-e^x) e^x dx
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Polite number
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3 ways: Derivative x^(-1/x)
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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5
review: prob stat Population variance vs sample variance
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"baby" fact: exp even odd e^x
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derivative differentiate x^x - 2^sin(x)
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1st/2ways: add math sum a + (a+d) + (a+2d) + ... + (a+(n-1)d) ?
3 ways: rational function integral ∫(x^2+1)/(x-1)^3 dx
2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫3x/((x-2)(x+1)) dx
Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3