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Quickie: 6169^2 - 2331^2?
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logic Idempotent law show x=xVx
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logic: tautology (¬p→q)∧(¬p→¬q) →p
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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Quickie: Find the value of √((470+160)(470-160) +2560)
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Review: Arithmetic Series a+(a+d)+(a+2d)+...+(a+(n-1)d)=
integration bee 2014 UNSW 3rd way: e^x(cos(x)+sin(x)) dx
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2 way: exp integral e^(ax+b)/1+e^(ax+b)) dx
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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integration bee 2018 Swineburne U 2nd way 1/(x^3+x) dx
1st/parts: Derivative of the inverse circular functions
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Lamar U 2nd way: evaluate trig integral ∫17(xe^x+e^x)sin(e^x)-14sin(x) dx
trig integral ∫1/(√sin(x) √cos^7(x)) dx
logic: tautology p→q≡(¬q→¬p)
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2nd/2ways: Taylor series of cos(x)
prob stat: A bag contains 5 red balls & 3 green balls. A ball is drawn at random &
Alternate way exp derivative (logf(x)(g(x)))^a
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2 ways: ¬p→q ≡ p∨q
matrix product: AB=0 where A≠0 & B≠0
Alternate way: integral ∫ax+b dx