prob stat: For events A & B it is known that P(A)=2/3, P(AuB)=3/4 & P(AnB)=5/12. Find P(B)

logic Idempotent law show x=xVx

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example Find 1+2+3+...+n via Pick's Theorem

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Pantun Melayu [Buah cempedak di luar pagar]

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

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Pantun Melayu [Sorong papan tarik papan]

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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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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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Why the mean of AP is the median of AP? mean=median?

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#19 2011 MIT Integration Bee Qualifying Exam

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Screen Recording 2024-02-22 at 10.18.05 PM

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Learn to drive an excavator in one minute

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Screen Recording 2024-02-22 at 10.09.39 PM

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Alternate way: derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2-xy1=a^2y

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Discrete rv X has the following prob. distribution

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logic: Simplify the Boolean function F=AB+(AC)'+AB'C(AB+C)

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Screen Recording 2024-02-22 at 10.13.28 PM

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#2 2011 MIT Integration Bee Qualifying Exam

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Lamar U Calculus: #14 integral ∫ [9sin^5(3x)-2cos^3(3x)] csc^4(3x) dx

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