Screen Recording 2024-05-10 at 7.55.27 PM

3rd/3 ways: Alternate way: Given 2 points, find equation of st line passing the ..

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

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2nd way: integral ∫ log √x(x^n) dx

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2 ways: sq root derivative 1/(√√(1/√x))

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#6 2024 MIT Integration Bee Qualifying Exam

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exp integral e^2x/(1+e^x) dx

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2 ways: Show logb^n(a)=1/n logb(a)

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3 ways: exp integral e^(2x)/(1+e^x) dx

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exp integral ∫10^x e^(10x) dx

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JHU: integral ∫t^3 e^(t^2) dt

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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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exp integral ∫a^(√√x^3)/√√x dx

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logic: Show p→q ≡¬ p∨q

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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx

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1st/2 parts stat: SLR SLR Regression lline always goes through the point (x̄, ȳ)

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Show log b^n(x^m) = m/n logb(x)

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Always ZERO

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

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stat: SLR Properties of residuals

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When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?

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