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UC Davis #10: count prove Σi = n(n+1)/2 where i=1 to n
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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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logic Idempotent law show x=xVx
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
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Pantun Melayu [Buah cempedak di luar pagar]
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Pantun Melayu [Sorong papan tarik papan]
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
Lamar U: trig integral ∫cos^5(2t) sin^2(2t) dt
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example: Mean, Median & Mode
2nd/2ways: [k map] logic Simplify the Boolean function F=A'B'C+A'BC+AB'
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prob stat: A fair 6-sided dice, with sides numbered 1,1,2,2,3,55 is thrown.
derivative Find d2y/dx2 for this function y=ln(x)/(1-x)
3 ways: sum Show 1+3+5+...nth term = n^2
2nd way: trig integral ∫√tan(x)/(sin(x) cos(x)) dx
Discrete rv X has the following prob. distribution
prob stat: x̄=∑xk where k=1,2,3,...,n?
JEE Main integral x^2/(a+bx)^2 dx
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Which of the following do NOT constitute a set & WHY?
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logic: Simplify the Boolean function F=AB+(AC)'+AB'C(AB+C)