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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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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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logic Idempotent law show x=xVx
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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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diff eq: Solve dy/dx = (2y4x^4)/(xy^3) ❌separable to ✅separable
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Review: Linear form, Quadratic form & Bilinear form
MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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JHU: integral ∫t^3 e^(t^2) dt
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Screen Recording 2024-02-22 at 10.18.05 PM
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STPM Math T Sem. 2: Ex 11.2 Given that f(x)=tan(x), show that ...
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U Penn: Evaluate trig integral ∫(sin^2(x) -cos^2(x))/(sin(x)-cos(x))^2 dx
UC Davis #22 [THE INTEGRATION OF RATIONAL FUNCTIONS] withOUT u-sub
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2nd way: integral ∫x^2 √(x^3+1) dx vs ∫x^3 √(x^3+1) dx
UC Davis #16: Prove (fgh)'=f'gh+fg'h+fgh' [differentiation using the product rule]
prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.