pascal triangle: count comb Show nCk = (n-1)Ck + (n-1)C(k-1)

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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Screen Recording 2024-05-18 at 10.21.39 PM

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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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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2 ways: integral ∫ (4t+7) dt

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A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.

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EP11 Kuranika (Sub Indonesia)

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

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EP11 Mega-Roku

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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed

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Everyone, keep your underwear dry (this horse is so sexy)

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partial Let f(x,y,z)=x e^(yz). Compute fxzy & fyxz.

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example: Mean, Median & Mode

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What does SS tell us about a set of data? Under what circumstances will the value of SS equal 0?

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U Penn: Evaluate trig integral ∫(sin^2(x) -cos^2(x))/(sin(x)-cos(x))^2 dx

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JHU: sq root integral ∫e^√x dx

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