prob stat: What is the median for the following set of scores?

STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...

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

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

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

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

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

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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5 ways: integral ∫a^(px+q) dx

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Alternate way: derivative If y=e^(a arc sin(x)), prove that (1-x^2)y2-xy1=a^2y

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1)integral ∫ x dx 2)integral ∫ ln(x)/x dx via inspection [NO u-sub]

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The streamer shoved it into my mouth, and I ate it!

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UC Davis #11: count prove Σi^2 = n(n+1)(2n+1)/6 where i=1 to n

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2nd/2 ways: MIT Integration Bee

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A couple has 6 children whose ages are 6,8,10,12,14,16. Find the variance in ages.

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1st/2ways: Taylor series of sin(x)

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Screen Recording 2024-05-10 at 5.37.05 PM

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Texas Tech: 5 ways trig Differentiate g(x)=cos^2(x)

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