#3 2017 MIT Integration Bee Qualifying Exam

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

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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The pth, qth, & rth terms of an AP are x,y,z respectively.

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2nd way: integral ∫(6+4x--2x^2) dx via 1) complete sq 2) then trig. sub

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Parallel parking in one go—do you think it’s tough?

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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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NYU: compute integral ∫√(1+ √x) dx

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Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.

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Median [special weighted mean]

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2nd/2 ways: derivative x^2/3 + y^2/3 = a^2/3

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

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Express the sum of the digits of the number (1000^20 - 20) in decimal notation

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Prove that the following inner [scalar] product ...

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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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#3 UC Davis integrate ∫3/(4+x^(1/3)) dx via power sub

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U Arizona: 2nd way For each integral decide which of the following is needed: ...

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prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.

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