Find r, if 5 4Pr = 6 5(r-1)

Screen Recording 2024-05-13 at 9.18.43 PM

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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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Swinburne U 2nd way: e^(-e^x) e^x dx

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

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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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JHU: integral ∫t^3 e^(t^2) dt

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

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What historical events sound absurd but are actually true?

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Screen Recording 2024-05-05 at 11.22.54 PM

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Screen Recording 2024-05-19 at 9.45.17 PM

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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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prob stat a) Calculate the mean & the std deviation of 4 numbers 2,3,6,9

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doneScreen Recording 2024-05-18 at 10.25.20 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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2nd way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1

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1st way: Calculate integral ∫x^2 (x+1)^9 dx

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1st/2 ways: integral ∫1/(x(x^n -1)) dx

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Screen Recording 2024-05-18 at 12.32.05 AM

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