derivative If y=(a+bx)e^(-nx), prove that y2+2ny1+n^2y=0

MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx

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Pantun Melayu [Buah cempedak di luar pagar]

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Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(2x)) dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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logic: tautology (¬p→q)∧(¬p→¬q) →p

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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

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Pantun Melayu [Sorong papan tarik papan]

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lim x/e^x? as x→∞

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Lamar U 2nd way: evaluate trig integral ∫17(xe^x+e^x)sin(e^x)-14sin(x) dx

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prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.

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

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Lamar U: #9 1st way: trig integral ∫sec^2(9x) tan^3(9x) dx

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AP Calculus 2nd way: integral ∫ (3^(x+1)-7^(x-1))/21^x dx

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UC Davis #1 integral 1/(1+√x) dx via power sub.

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NYU: compute integral ∫√(1+ √x) dx

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Unspoken sexual rules

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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AP Calculus 2nd way: trig ∫x sin(x) dx

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