2nd/3 way: integral …

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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx

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2 ways: sq root derivative 1/(√√(1/√x))

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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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prob stat: A population of N=5 scores has a mean µ= 12. What is ∑X for this sample?

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

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

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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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Prove that the following inner [scalar] product ...

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

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Which of the following statements are true, & why?

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Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.

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AP Calculus 2nd way trig ∫sin^3(x)/(cos(x)-1) dx

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Calculus: Find nth derivative of log(ax+b)

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

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AP Calculus 2nd way trig integral ∫x^2 cos(x) dx

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Solve the differential equation xcos^2(y) dx + tan(y) dy=0

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U Penn: Evaluate trig integral ∫(sin^2(x) -cos^2(x))/(sin(x)-cos(x))^2 dx

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Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction

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