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Solve the differential equation xcos^2(y) dx + tan(y) dy=0

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Let f(x,y)=4-2xx^2-y^2. Find the slope of the tangent line at the point (1,1,1) on the curve formed

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sum Find 1/1.4 + 1/4.7 +1/7.10+... +1/((3n-2)(3n+1))

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UT Austin: ∫x (1-x^2)^1/4 dx

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If nC9=nC8, find nC17.

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integral ∫(x^2+2x)/(x^2+2x+2) dx

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1st/2 parts stat: SLR ∑ŷk = ∑yk where k=1,n

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

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2nd way: trig integral ∫1/(1+sec(x)) dx

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2nd/2 parts: Mean 1+2+3+...+n is just (1+n)/2. Why?

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Columbia U: 8th/9 ways Evaluate the indefinite integral ∫1/(1+e^x) dx withOUt u-sub

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2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫3x/((x-2)(x+1)) dx

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Always ZERO

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Calculus: If u=f(x+cy)+g(x-cy) then uxx / uyy ?

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

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2nd way: Express as partial fractions

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trig integral ∫1/(√sin(x) √cos^7(x)) dx

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Suppose E & F are 2 complementary events. Must E & F be mutually exclusive? Explain your answer.

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Penn State U: proc & stat Suppose the random variable X follows the uniform distribution...

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Evaluate these 7 integrals ...

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