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integration bee 2014 UNSW: 4th way: e^x(cos(x)+sin(x)) dx
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(x)) dx
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(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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Screen Recording 2024-05-18 at 10.18.13 PM
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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3
prob stat: The discrete r.v. W has prob dist. as shown
2nd way: Evaluate ∫ 1/√(1-e^(2x)) dx
prob stat The members of an orchestra were asked how many instruments each could play.
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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: 2nd/2 parts. One sample has a mean of M=6 &
2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sin^3(x)/√cos(x) dx
If u=a+ib is a complex #, then complex conjugate of u*=a-ib. ...
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2 ways: integral ∫ (4t+7) dt
2nd/2ways: derivative (sin(x)+cos(x))^2
Find the expected value & the std deviation in the number of '6's when 20 dice are rolled.
1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx