Screen Recording 2024-05-13 at 9.28.11 PM

Find the expected value & the variance of a geometric r.v. X

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

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

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

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

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Review: Product to Sum Identities

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Pure Math: Calculate the coordinates of the two points on the curve

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Lamar U: Derivatives of Exponential & Log Functions Practice Problems.

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3 ways: derivative log(x+ (1+√(x^2)))

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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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trig integral ∫1/(√sin(x) √cos^7(x)) dx

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5 ways: trig Derivative of sin^2(x)

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

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NYU: 2 ways integral ∫(x^2 + 2x +1) dx

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2 ways: derivative Find dy/dx, where tan(x+y)+tan(x-y)=1

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Which of the following data sets has a median of 3?

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multivariable Let w=x^2y-xy^3 where x=cos(t) & y=e^t. Find dw/dt & its value when t=0.

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matrix example: How to select the ROW you want ...

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