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crystal pattern - ai
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font with image merge - ai
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best way to sample color from image
Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?
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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: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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alternate way: count sum 1 + 2 + 3+... + n via "polynomial"
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Pantun Melayu [Buah cempedak di luar pagar]
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U North Texas Integration Bee 2nd way: x^2/√(x-1) dx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
2nd way: integral ∫ log √x(x^n) dx
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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prob stat: Let J & K be independent events. P(J|K)=0.3. Find P(J)
Let E & F be mutually exclusive events.
#1 2024 MIT Integration Bee Qualifying Exam
2nd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)
prob stat: A die with 4 red faces & 2 green faces is rolled twice.
The Maclaurin series of an EVEN function includes only EVEN powers.
GPT4: A tweet snippet from Michal Kosinski