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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5
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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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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 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(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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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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GPT4: A tweet snippet from Michal Kosinski
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Reborn as a Vending Machine, I Now Wander the Dungeon. EPISODE 12
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1st/2ways: Taylor series of sin(x)
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Conversion: Permutation - Combination vice versa
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prob stat: 2nd/2 parts. One sample has a mean of M=6 &
1st/2 way: Expand e^sin(x) by Maclaurin's Theorem
review: prob stat Population variance vs sample variance
COMMON MISTAKE!: exp derivative d/dx(a^x) ≠ x a^(x-1)
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alternate way: count sum 1+2+3+ ... +n
2nd way: derivative (a-bx)^(px-q)
2 ways: Determine the derivative of (ax+b)^n