sum count sigma Show a Σbk = Σabk where k=1 to n

prob stat: 1st/2 parts. One sample has a mean of M=6 &

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Review: Linear form, Quadratic form & Bilinear form

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2nd/3ways: trig integral ∫sec(x) dx

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2nd way: derivative (x^x)^x

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logic Idempotent law show x=xVx

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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

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

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

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

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2nd/2parts: Linear interpolation (2 given points)

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"baby" fact: exp e^(ix)

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If y=a e^(mx) + b e^(-mx), show that y2=m^2y

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Find the number of permutations of the letters of the word ALLAHABAD

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exp integral e^2x/(1+e^x) dx

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logic: Simplify the Boolean function F=XYZ+XY'Z+XYZ'

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Review Add Math: Show a^m a^n = a^(m+n) where m & n are any 2 positive integers

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2nd way: Express as partial fractions

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Mohammad Ali Jinnah University: Integrate the followings.

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3 ways: rational function integral ∫(x^2+1)/(x-1)^3 dx

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