diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable

Always ZERO

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

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logic Idempotent law show x=xVx

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Pantun Melayu [Sorong papan tarik papan]

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Swinburne U 2nd way: e^(-e^x) e^x dx

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alternate way: count sum 1+2+3+ ... +n

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2 ways: trig show tan(2x)=2tan(x)/1-tan^2(x))

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Do you know ... paper folding ...

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

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1st/2ways: exp e^g(x) (g'(x)f(x) + f'(x)) dx

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2 ways: integral ∫x/(x+a) dx

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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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2nd/2ways: r-Permutations

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Any function f is a sum of an EVEN & an ODD function

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2nd/2ways: count perm Show P(n,2)+P(n,1)=n^2

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3rd way: nCr = (n-1)Cr + (n-1)C(r-1)

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2 ways: Find the derivative y=x^n logb(x)

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2 ways: exp integral ∫e^√x dx

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trig integrals ∫cot(ax+b) dx vs ∫cot^2(ax+b) dx

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count comb Show (n-r)* nCr = n * (n-1)Cr

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