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

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

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

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trig Write each expression as an equivalent algebraic expression involving only x.

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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

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

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

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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx

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

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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: 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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JHU: integral ∫t^3 e^(t^2) dt

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If y=a e^(mx) + b e^(-mx), show that y2=m^2y

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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx

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multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.

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Gurjat CET-2007 2nd way log exp ∫e^(xln(2006) e^x dx

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The Entrepreneurial Era of Lei Jun: Some Are Born in Rome, While He Built His Own.

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JHU: sq root integral ∫e^√x dx

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prob stat It is known that P(X)=1/2 & P(Y)=1/4. Given that X & Y are mutually exclusive, find

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