2 ways: log exp derivative ln(x) e^(2ln(x))

The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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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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logic Idempotent law show x=xVx

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Review: Linear form, Quadratic form & Bilinear form

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🪔 Happy Deepavali 🪔 [Nov-12-2023]

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

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Show ∫1/(a+btan(x)) dx = ...

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Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.

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Iowa State U [Fall 2019]: integral Find the integral

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

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Median [special weighted mean]

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Diff Eq: Solve sec(x) dy/dx=y+sin(x) via Integrating factor [IF]

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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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CMU integral ∫1/(x^2 √(16x^2 -19)) dx

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IGCSE 2023 p2 Add Math #4

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Prove Σ1/((k-1)(k+1))=(3n^2-n-2)/(4n(n+1)) where k=2 to n ∀n ≥ 2

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1st/2ways: r-Permutations

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3rd way: rational function integral ∫x^3/√ (1+x^2) dx

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1st/2ways: permutation Show P(n,2)+P(n,1)=n^2

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

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