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

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

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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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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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

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Pantun Melayu [Sorong papan tarik papan]

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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stat: SLR Properties of residuals

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

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derivative Find d2y/dx2 for this function y=ln(x)/(1-x)

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The pth, qth, & rth terms of an AP are x,y,z respectively.

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Screen Recording 2024-02-22 at 10.23.21 PM

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Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction

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Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?

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#3 UC Davis integrate ∫3/(4+x^(1/3)) dx via power sub

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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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2nd way: integral 1) ∫1/√(a - √b x^2)dx vs 2) ∫1/√(a - √b x^2) dx

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NYU: 2 ways integral ∫(x^2 + 2x +1) dx

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trig integral ∫x^2 cos(x^3) e^sin(x^3) dx

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matrix example: How to select the ROW you want ...

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Lamar U: Use log. differentiation to find the 1st derivative of the given function

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