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Given events J & K:
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2nd way: integral ∫ log √x(x^n) dx
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logic Idempotent law show x=xVx
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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Pantun Melayu [Buah cempedak di luar pagar]
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Express the sum of the digits of the number (1000^20 - 20) in decimal notation
2 ways: integral ∫(a^2-x^2) dx
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prob stat a) Calculate the mean & the std deviation of 4 numbers 2,3,6,9
prob stat: A fair 6-sided dice, with sides numbered 1,1,2,2,3,55 is thrown.
Lamar U 2nd way: evaluate exp integral ∫e^(2x)/(1+e^(2x)) dx
Sum of the first n integers 1+2+3+ ...+n=n/2 (1+n) via Induction
Lamar U 2nd way: evaluate exp integral ∫e^(8x)(4+e^(4x))^(-3) dx
prob stat It is known that P(X)=1/2 & P(Y)=1/4. Given that X & Y are mutually exclusive, find
prob stat: Find the expected value & std deviation in the number of '6's when 20 dice are rolled.
2010 Raytheon MATHCOUNTS National Competition
prob stat: A normal 6-sided dice is rolled. What is the prob. that the first '6' occurs:
Sweet trap----Ep-13----Hindi dubbed
prob stat: Consider the experiment of tossing a fair coin twice & reading the up face on each toss.
Lamar U 2nd way: evaluate trig integral ∫17(xe^x+e^x)sin(e^x)-14sin(x) dx
Variability or spread of a distribution. Whey we need it!