2 ways: derivative ln(ax-b)^(p-qx)

example: Mean, Median & Mode

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

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2 ways: integral ∫(x-a)/(x+a) dx

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

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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UC Davis #12: exp integrate ∫(27e^(9x) + e^(12x))^(1/3) dx

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prob stat: For events A & B it is known that P(A)=P(B), P(AnB)=0.1 & P(AuB)=0.7. Find P(A')

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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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6th form Pure Math: Evaluate the integrals

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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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trig integral cos(a√x +b) dx

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exp trig derivative x^x sin(x)

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Difference of 2 nonconsecutive triangular numbers

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review: When to use ... Sum of A.P n/2(a+l) vs n/2(2a+(n-1)d)

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prob stat: The speeds, to the nearest mile per hour,, of 120 vehicles passing a check point

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2nd way: integral ∫1/cos(ax/2) dx

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Lamar U 2nd way: evaluate integral ∫√(1+2ln(7x))/2 +10x^3/(x^4 +9) dx

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integral ∫x^3/(x+2) dx

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2 ways: AUC y=mc?

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