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3 ways: Find 1+2+3+ ... + n^2.
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(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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logic Idempotent law show x=xVx
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Swinburne U 2nd way: e^(-e^x) e^x dx
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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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Which of the following do NOT constitute a set & WHY?
Given events J & K:
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prob stat: A fair 6-sided dice, with sides numbered 1,1,2,2,3,55 is thrown.
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logic How can we check our Boolean simplification is done correctly?
Bijection of elements in tn & a pair of elements of (n+1)
If y=a e^(mx) + b e^(-mx), show that y2=m^2y
picture "proof":Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n
prob stat: A normal 6-sided dice is rolled. What is the prob. that the first '6' occurs:
prob stat: Given events G & H:
Harvesting, Making Kimchi in Tropical Country (Bohol, Philippines) Calming Dinner in the Countryside
UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n