UC Davis #11: count prove Σi^2 = n(n+1)(2n+1)/6 where i=1 to n

prob stat: Compute Var(X) when X represents the outcome when we roll a fair die.

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

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

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

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

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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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lim x/e^x? as x→∞

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Review: Multiplying each obs. by a CONSTANT results in new variance =

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Lamar U: Use log. differentiation to find the 1st derivative of the given function

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

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#9 2023 MIT Integration Bee Qualifying Exam

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When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?

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example: Mean, Median & Mode

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Columbia U: 2nd way integral Find ∫1/(x √(9-x^2)) dx withOUT trig-sub

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U Penn: Show that the following decomposition CANNOT hold ...

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prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.

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Find the equation of the tangent line to the curve x^3-3y^3+xy+21=0 at the point (1,2)

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Home organic vegetables

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multivariable partial Let w=2x^2 y, where x=u^2+v^2 & y=u^2-v^2. Find ∂w/∂u & ∂w/∂v.

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