Growing patterns #2

#12 2024 1st/2ways: MIT Integration Bee Qualifying Exam

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logic Idempotent law show x=xVx

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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.

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

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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#5 MIT 2022 Integration Bee Qualifying Exam

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3rd/3ways: derivative (x+1)^(1/2) (x+2)^(1/3) (x+3)^(1/4) (x+4)^(1/5) (x+5)^(1/6)

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prob stat: The prob. that it will snow tomorrow is 0.75.

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"baby" fact: exp e^(ix)

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3 ways: trig integral ∫tan(x) sec^2(x) dx

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1st/2 parts stat: SLR SLR Regression lline always goes through the point (x̄, ȳ)

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Find the expected value & the variance of a geometric r.v. X

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Which of the following statements are true, & why?

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Lamar U: #13 trig integral ∫(2+7sin^3(x))/cos^2(x) dx

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UC Davis #11: count prove Σi^2 = n(n+1)(2n+1)/6 where i=1 to n

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2nd way: 1) ∫1/(a + √b x^2) dx vs 2) ∫1/(a + √b x^2) dx

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Quickie: Find the value of √((470+160)(470-160) +2560)

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Tongue 𝙙𝙚𝙫𝙞𝙖𝙩𝙞𝙤𝙣 𝙖𝙣𝙜𝙡𝙚 as the warning sign of a 🆂🆃🆁🅾🅺🅴

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The number of solutions of the equation x^(log10(x)) = 100x

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Find the mean of the data given in the freq. distribution below ...

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