picture "proof":Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n

Screen Recording 2024-05-18 at 10.21.39 PM

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

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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

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Review: Linear form, Quadratic form & Bilinear form

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

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Screen Recording 2024-05-12 at 8.48.55 PM

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IIT-1995 2nd way integral ∫x^5/(1+x^3) dx

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2 ways: exp derivative a^(logb(cos(px+q))

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prob stat: 2 ways The mean of five #s 2,3,5,6,8 is 4.8. Calculate the std deviation.

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Screen Recording 2024-05-13 at 10.57.28 PM

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Screen Recording 2024-05-19 at 9.45.17 PM

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3 ways: If y=x/(1+x^2) find dy/dx.

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2nd way: lim ((1+h)^3-1)/x? as h →0

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Show that ar sinh(x) = ln(x + √ (x^2+1))

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1st way: STPM Math T Sem2 By using the Maclaurin's theorem show that ...

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integration bee 2014 UNSW 3rd way: e^x(cos(x)+sin(x)) dx

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3rd/3ways: trig integral ∫sec(x) dx

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2 ways: integral ∫ (4t+7) dt

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prob stat: Events A & B are s.t P(A)=.3, P(B)=0.4, P(A n B)=0.1. Find a) P(AnB') b)P(A' n B')

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