derivative If y=acos(log(x)) + bsin(log(x)), prove that x^2y2+xy1+y=0

logic Idempotent law show x=xVx

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Always ZERO

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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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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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Pantun Melayu [Buah cempedak di luar pagar]

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Pantun Melayu [Sorong papan tarik papan]

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2024 #3 MIT Integration Bee Final Lightning Round

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2 ways: Find the derivative y=a^x logb(x) Calculus

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Screen Recording 2024-02-22 at 10.18.05 PM

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Fill in each blank using either mean or median.

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Suppose E & F are mutually exclusive events. Must E & F be complementary? Explain your answer.

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2 ways: integral ∫(a^2-x^2) dx

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Screen Recording 2024-02-22 at 10.09.39 PM

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

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prob stat: A population of N=10 scores has a mean of 30.

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Screen Recording 2024-02-22 at 10.13.28 PM

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prob stat: A fair 6-sided dice, with sides numbered 1,1,2,2,3,55 is thrown.

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Lamar U Calculus: #14 integral ∫ [9sin^5(3x)-2cos^3(3x)] csc^4(3x) dx

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trig Show sec^4(x)-tan^4(x) = sec^2(x)+tan^2(x)

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prob stat: A normal 6-sided dice is rolled. What is the prob. that the first '6' occurs:

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