prob stat: The speeds, to the nearest mile per hour,, of 120 vehicles passing a check point

logic Idempotent law show x=xVx

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Always ZERO

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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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2nd way: integral ∫ log √x(x^n) 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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Pantun Melayu [Buah cempedak di luar pagar]

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derivative Find d2y/dx2 for this function y=ln(x)/(1-x)

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2nd way: trig integral ∫1/(a+b sin(x)+c cos(x)) dx

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Screen Recording 2024-02-22 at 10.18.05 PM

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2 ways: integral ∫(a^2-x^2) dx

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prob stat: Two events are such that P(A)=0.6, P(B)=0.5 & P(AUB)=0.85

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Fill in each blank using either mean or median.

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Suppose E & F are mutually exclusive events. Must E & F be complementary? Explain your answer.

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2024 #3 MIT Integration Bee Final Lightning Round

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Screen Recording 2024-02-22 at 10.09.39 PM

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2nd way: trig integral ∫√(sec^5(x)/sin^3(x)) dx

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2nd/2 ways: MIT Integration Bee Final

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Screen Recording 2024-02-16 at 9.19.45 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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2nd way: integral ∫x^2 √(x^3+1) dx vs ∫x^3 √(x^3+1) dx

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