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

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prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.

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prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx

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2nd way: exp integral ∫ dx/x^2014 /(1+1/x^2013)

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2nd way: exp integral ∫ dx/x^2014 /(1+1/x^2013)

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UC Davis #1: 2 ways Find the length of the graph for y=3x+2 on the closed interval ...

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UC Davis #1: 2 ways Find the length of the graph for y=3x+2 on the closed interval ...

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prob stat 2/2 ways: A couple has 6 children whose ages are 6,8,10,12,14,16.

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prob stat 2/2 ways: A couple has 6 children whose ages are 6,8,10,12,14,16.

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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5 ways: trig Derivative of sin^2(x)

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5 ways: trig Derivative of sin^2(x)

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Screen Recording 2024-05-10 at 6.17.33 PM

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Screen Recording 2024-05-10 at 6.17.33 PM

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1st way: Calculate integral ∫x^2 (x+1)^9 dx

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1st way: Calculate integral ∫x^2 (x+1)^9 dx

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1st/2 ways: integral ∫1/(x(x^n -1)) dx

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1st/2 ways: integral ∫1/(x(x^n -1)) dx

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2nd way: log sq rt ∫ln(ax+b)/n√(ax+b)^m dx

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2nd way: log sq rt ∫ln(ax+b)/n√(ax+b)^m dx

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prob stat: In how many ways can a hand of 4 cards be dealt from an ordinary pack of 52 playing cards

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prob stat: In how many ways can a hand of 4 cards be dealt from an ordinary pack of 52 playing cards

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Columbia U: 5th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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Columbia U: 5th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx

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UC Davis: #10 log integral ∫3/(x ln(x)) dx.

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UC Davis: #10 log integral ∫3/(x ln(x)) dx.

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2 ways: integral ∫(a^2-x^2) dx

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2 ways: integral ∫(a^2-x^2) dx

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2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫x^5 √(1+x^3) dx

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2 ways: 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫x^5 √(1+x^3) dx

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prob stat The prob of events A & B are P(A) & P(B) respectively P(A)=5/12, P(A n B)=1/6, P(AuB)=q.

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prob stat The prob of events A & B are P(A) & P(B) respectively P(A)=5/12, P(A n B)=1/6, P(AuB)=q.

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