We lost original x's but still know mean x̄ & n. Now we collected m new observations.

implicit differentiation Find dy/dx, sin(xy) +x/y = x^2 -y

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

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2nd way: integral ∫ log √x(x^n) dx

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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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logic Show by truth table x∧(x→y)→y is Tautology

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Show ∫1/(a+btan(x)) dx = ...

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2nd way: integral tan(x)/(1+tan(x)) dx

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Screen Recording 2023-12-06 at 3.06.15 AM

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Find f'(x) in terms of g'(x)

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picture "proof":Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n

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derivative (f(x))^n vs n^(g(x)) vs (f(x))^g(x)

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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#8 2021 MIT Integration Bee Qualifying Exam

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2 ways: The following measurements were taken by an antique dealer as he weighted to the ...

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Which pairs are equivalent via truth table?

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2nd/2ways: [k map] logic Simplify the Boolean function F=AB+BC+B'C

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Bijection of elements in tn & a pair of elements of (n+1)

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