Median [special weighted mean]

GPT4: A tweet snippet from Michal Kosinski

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logic Idempotent law show x=xVx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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lim x/e^x? as x→∞

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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Lamar U: Use log. differentiation to find the 1st derivative of the given function

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3 ways: If y=x/(1+x^2) find dy/dx.

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Solve cos^2(x) dy/dx +y = tan(x) via Integrating factor[IF]

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Solve the differential equation xcos^2(y) dx + tan(y) dy=0

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Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]

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3 picture views of the sum ... 1+2+3+...+n

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Difference of 2 nonconsecutive triangular numbers

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Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx

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Pure Math: Calculate the coordinates of the two points on the curve

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Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

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2nd/2 parts: sum Find the sum 2,3,14,24,37,... nth term

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Polite number

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Screen Recording 2024-03-02 at 11.52.18 PM

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