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prob stat: 2nd/2 parts. One sample has a mean of M=6 &
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CBSE 2000 Hindustan: integral (1+tan(x))/(x+log(sec(x)) dx
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AI 2008 Hindustan: Evaluate integral ∫ 2/3 cos(x)/sin^2(x) dx
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Solve the following differential equation cos^2(x)dy/dx +y = tan(x)
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MP 98 Hindustan: Evaluate (i) ∫e^loge(x) dx (ii) ∫e^(-loge(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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Find the 2nd-order partial derivatives of f(x,y)=2xy^2-3x^2+xy^3
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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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2nd way: integral ∫(6+4x--2x^2) dx via 1) complete sq 2) then trig. sub
1) integral ∫ 1/(1+x^2) dx 2) integral ∫ e^x/(1+e^(2x)) dx 3) integral ∫ cos(x)/(1+sin^2(x)) dx
2nd way: Evaluate ∫ 1/√(1-e^(2x)) dx
If u=a+ib is a complex #, then complex conjugate of u*=a-ib. ...
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prob stat Toss a pair of fair 6-sided dice. The sample space has 36 outcomes.
doneScreen Recording 2024-05-18 at 10.25.20 PM
AP Calculus 3rd way: exp integral 1/(1+e^x) dx [withOUT u-sub]
AP Calculus 4th way: exp ∫1/(1+e^x) dx via 3rd u-sub
2nd way: trig Evaluate 𝖎𝖓𝖙𝖊𝖌𝖗𝖆𝖑 ∫ sin^3(x)/√cos(x) dx
matrix example: How to select the column you want ...
Screen Recording 2024-05-11 at 8.58.53 PM
Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction