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

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

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

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

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2 ways: sq root derivative 1/(√√(1/√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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Compute the arithmetic mean for the following grouped data ...

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3 ways: If y=x/(1+x^2) find dy/dx.

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Učeň 5.

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2nd way: trig integral ∫sin(x/a) dx

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2nd/2 ways: FInd partial fractions (3x^2+9x-20)/(x^2+x-6)

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Which of the following do NOT constitute a set & WHY?

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

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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.

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Alternate way: sq root integral ∫1/√((x-α)(x-β)) dx

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prob stat a) Calculate the mean & the std deviation of 4 numbers 2,3,6,9

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prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.

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2nd example: Find the sum -0.31, -0.19, -0.07, 0.05, 0.17, 0.29 via median

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2nd way: integral ∫1/x log mb(x) dx

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