If sec(x+y)=xy then find dy/dx

How to make Oppein grow overnight?

avenzly_official1

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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

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

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

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

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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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implicit differentiation Find dy/dx, sin(xy) +x/y = x^2 -y

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Alternate way: ∫(5+2x)/(x+x^4)dx

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count Show Σ k^2 = ΣΣmin(i,j) where i,j,k=1 to n

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#4 2017 MIT Integration Bee Qualifying Exam

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NONelementary integral ∫e^(ax)/x dx

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UC Davis #6 integral e^x(1+2e^x)^4 dx

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Wonder Pets | Save the Raccoon

itssoberrypeachy

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2nd/2ways: [k map] logic Simplify the Boolean function F=A'B'C+A'BC+AB'

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2nd way: derivative x^n w.r.t. n^x

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9Screen Recording 2023-12-02 at 2.43.56 AM

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How many chords can be drawn through 21 points on a circle?

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We lost original x's but still know mean x̄ & n. Now we collected m new observations.

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