Screen Recording 2024-05-12 at 10.20.08 PM

2nd way: integral ∫(6+4x--2x^2) dx via 1) complete sq 2) then trig. sub

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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prob stat: The speeds, to the nearest mile per hour,, of 120 vehicles passing a check point

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1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx

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

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Screen Recording 2024-05-18 at 10.21.39 PM

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

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

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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3

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2nd way: Evaluate ∫ 1/√(1-e^(2x)) dx

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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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The number of solutions of the equation x^(log10(x)) = 100x

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prob stat: One sample of n=4 scores has a mean of M=10, &

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A cubical die, numbered 1 to 6 is weighted so that a six is twice as likely to occur as any other #.

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prob stat: 1st/2 parts. One sample has a mean of M=6 &

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partial Let f(x,y,z)=x e^(yz). Compute fxzy & fyxz.

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JHU: integral ∫t^3 e^(t^2) dt

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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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Median [special weighted mean]

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Screen Recording 2024-05-05 at 11.22.54 PM

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