logic: Simplify the Boolean function F=XYZ+XY'Z+XYZ'

prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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Pantun Melayu [Buah cempedak di luar pagar]

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2 ways: derivative x √√x

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prob stat: One sample of n=4 scores has a mean of M=10, &

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1st way: Calculate integral ∫x^2 (x+1)^9 dx

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When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?

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

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Columbia U: 9th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub

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prob stat 2/2 ways: A couple has 6 children whose ages are 6,8,10,12,14,16.

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A bag contains 5 red balls & 3 green balls. A ball is selected at random &

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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx

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NYU: 3 ways ∫(1+ln(x))/x dx

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5 ways: trig Derivative of sin^2(x)

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Screen Recording 2024-05-12 at 8.34.35 PM

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#12 UC Davis: Find the length of the graph for x=ln(y)=y^2/8 on the closed interval ...

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prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.

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2 ways: integral ∫ (4t+7) dt

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prob stat a) Calculate the mean & the std deviation of 4 numbers 2,3,6,9

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