11.25.9: integral 1/(pe^(ax)+qe^(-ax)) dx

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

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Swinburne U 2nd way: e^(-e^x) e^x dx

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1st way: exp ∫(e^x)/x (1+x log(x)) dx

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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Penn. State U: Suppose the p.m.f of discrete random variable X is ...

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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(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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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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Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?

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A random variable X has the following parameters: E(X)=a & Var(X)=2a^2-1 a∈R

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сериал:"Красная нить"

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The sum of 3 numbers in AP is 15 & the sum of their squares is 3. Find the numbers.

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Express the sum of the digits of the number (1000^20 - 20) in decimal notation

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2nd way: integral ∫log n√(ax+b)(ax+b) dxx

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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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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n

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log sq root integral ∫ln(√ x^3)/√ √ x dx

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2 ways: diff eq Solve dy/dx-x^2=0

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