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Why the mean of AP is the median of AP? mean=median?
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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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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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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logic: tautology (¬p→q)∧(¬p→¬q) →p
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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logic Idempotent law show x=xVx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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lim x/e^x? as x→∞
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Pantun Melayu [Sorong papan tarik papan]
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2nd way: derivative (x^x)^x
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2nd way: ∫1/(√(1-x^2)(1+arc sin(x))^2) dx
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A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.
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Bijection of elements in tn & a pair of elements of (n+1)
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#12 2014 MIT Integration Bee Qualifying Exam
#17 2011 MIT Integration Bee Qualifying Exam
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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n
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2nd/2ways: [k map] logic Simplify the Boolean function F=A'B'C+A'BC+AB'
prob stat: The following frequency table gives the values obtained
The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.