Which 3 are functions? Why the other 2 NOT?

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

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

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exp Differentiate (i) b^e^x (ii) b^x&e (iii) (b^e)^x (iv) (b^x)^e

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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx

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logic Idempotent law show x=xVx

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eyessss

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#8 Lamar U: evaluate integral sec^8(t/2) tan^5(t/2) dt

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

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1st/3parts: Mean of 1,2,3,...,n SAME as Mean 1,n

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Alternate way: 2nd picture Show 1+3+5+...+(2n-1)=n^2

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2 ways: trig integral ∫1/(2+cos^2(x)) dx

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2nd way: ∫cos(x)/√(sin^2(x)+4sin(x)+3) dx

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Screen Recording 2023-12-07 at 2.04.49 AM

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2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫3x/((x-2)(x+1)) dx

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2 ways: integral ∫(x-a)/(x+a) dx

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2nd way: trig integral ∫ √sec^5(x)/√sin^3(x) dx

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Your close, everyday friend is a demon.

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Discrete rv X has the following prob. distribution

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Find r, if 5 4Pr = 6 5(r-1)

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