picture "proof":Show Σk^2 = ΣΣmin(i,j) where i,j,k=1 to n

Compute the arithmetic mean for the following grouped data ...

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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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Screen Recording 2023-12-30 at 9.34.01 PM

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2nd part: STPM Math T Sem.2: 12.1 Numerical solution of Equations

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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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3 ways: derivative a^(f(x)g(x))

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it’s me yousuf

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Screen Recording 2024-05-12 at 10.20.08 PM

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

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2nd/2ways: [k map] logic Simplify the Boolean function F=A'B'C+A'BC+AB'

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Iowa State U [Fall 2019]: integral Find the integral

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example: Mean, Median & Mode

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prob stat: The discrete r.v. W has prob dist. as shown

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

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3 ways: derivative log(x+ (1+√(x^2)))

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