3 Views PremiumMay 30, 2023
2010 Raytheon MATHCOUNTS National Competition
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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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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
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lim x/e^x? as x→∞
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Lamar U 2nd way: evaluate trig integral ∫x sin(x^2) [cos^4(x^2) + 8 cos^2(x^2)-10] dx
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Lamar U 2nd way: evaluate trig integral ∫csc(x/2) cot(x/2)(csc^6(x/2)+3csc^4(x/2)-8csc(x/2)) dx
2nd way: trig integral ∫sin(x)/(a-bcos(x)) dx
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2nd way: trig integral 1/(cot(x)-tan(x)) dx
2nd/2 ways: MIT Integration Bee
It was blocked =_=, this time I brought the address
2nd way: integral ∫1/cos(ax/2) dx