The number of solutions of the equation x^(log10(x)) = 100x

#23 2019 MIT Integration Bee Final

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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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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx

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2nd way: integral ∫ log √x(x^n) dx

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

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Show that the function u(x,y)=e^x cos(y) is harmonic in the x-y plane

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2nd way: sq rt integral ∫(√x)/(x+1) dx

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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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Fill in each blank using either mean or median.

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If pv^a=C (where a & C are constant) find dv/dp & d2v/dp2

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#3 2017 MIT Integration Bee Qualifying Exam

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What would the value of SS be for his set of scores [118,118,118,118,118,118]?

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2 ways: trig integral cos^2(x) sin^2(x) dx

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2nd way trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫tan(x) sec^2(x)/(a^2+b^2tan^2(x))^2 dx

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What does SS tell us about a set of data? Under what circumstances will the value of SS equal 0?

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

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2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sec^2(x)/sin(2x) dx

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#11 2019 MIT Integration Bee Final

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Think about the SS values you might obtain if you computed SS for these 22 samples...

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2024 #3 MIT Integration Bee Final Lightning Round

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