derivative If y=(a+bx)e^(-nx), prove that y2+2ny1+n^2y=0

prob stat: For the sample shown in the freq distribution table, what is the mode?

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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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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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Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

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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 bag contains 5 red balls & 3 green balls. A ball is drawn at random &

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2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫x^5 √(1+x^3) dx

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U of Arizona: For each integral decide which of the following is needed ....

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U Arizona: For each integral decide which of the following is needed:

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prob stat: A population of N=10 scores has a mean of 30.

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A 2 digit number is equal to the sum of the product of its digits & the sum of its digits.

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2nd way: trig integral ∫√(sec^5(x)/sin^3(x)) dx

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2nd way: trig inverse ∫(2012)^x (2012)^ arc (sin(2012)^x)√(1-(2012)^2x) dx

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U Arizona: For each integral decide which of the following is needed:

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

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3 ways: Find 1+2+3+ ... + n^2.

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1) integral ∫1/5 dx/(1+x) vs 2) integral ∫sec^(5x)/(1+ tan(5x)) dx

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Mohammad Ali Jinnah University: Integrate the followings.

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