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

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then replaced. Another ball is drawn. What is the prob. that both balls are green?

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Let B be the mx1 col. matrix [1/m ... 1/m]'. If A =[a1 ... am] is any row matrix. What is AB?

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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derivative y=f(logb(arc tan(px+q))

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2nd way: integral ∫(a+ln(sin(x))/tan(x) dx

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3rd/3ways: trig integral ∫sec(x) dx

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3 ways: ∫ (3x+11)/(x^2-x-6) dx

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2 ways: exp derivative ln(e^(x+1/x))

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trig integral ∫cos^4(x)/sin^8(x) dx

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2nd way: ∫ (x+1)/(1-x^2) dx

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