RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

034) L01 Atom and molecules NA

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2nd way: integral ∫ log √x(x^n) dx

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

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

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

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lim x/e^x? as x→∞

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

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

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

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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5

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

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set Show X∩ ((Y∪ X') ∩ Y') = ∅

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2nd/2ways: Taylor series of cos(x)

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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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Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?

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Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?

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prob stat: A bag contains 5 red balls & 3 green balls. A ball is drawn at random &

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sin^3(x)/√cos(x) dx

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Screen Recording 2024-05-18 at 10.21.39 PM

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