Screen Recording 2024-05-13 at 9.55.17 PM

UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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logic Idempotent law show x=xVx

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2nd way: integral ∫ log √x(x^n) dx

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

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stat: SLR Properties of residuals

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2 ways: derivative (ax+b)^n

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

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Which of the following data sets has a median of 3?

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What is the mode for the following set of n=8 scores? Scores: 2,4,4,5,7,8,8,8

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2 ways: Show logb^n(a)=1/n logb(a)

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derivative If y=acos(log(x)) + bsin(log(x)), prove that x^2y2+xy1+y=0

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Calculus: Find nth derivative of log(ax+b)

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AP Calculus 2nd way: integral ∫(ax+c)/(ax^2 + bx) dx

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2 ways: trig integral cos^2(x) sin^2(x) dx

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A couple has 6 children whose ages are 6,8,10,12,14,16. Find the variance in ages.

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Purdue U: 2 ways Evaluate ∫2/(x (x-1)) dx where x=3 to 4

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#16 MIT 2022 Integration Bee Qualifying Exam

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derivative y=a^(arc sin(x))^2

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

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2nd way: trig integral (3-tan^2(x))/(cot(x)-3tan(x)) dx

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