2010 Raytheon MATHCOUNTS National Competition

integral exp ∫e^(mx)/(x^n) dx via Reduction formula

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count quick review: Permutation vs Combination

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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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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx

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When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?

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exp Calculate ∫x^3 3^x dx via IBP

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3 ways: sum Show 1+3+5+...nth term = n^2

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Always ZERO

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1st/2ways: r-Permutations

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Lamar U: #9 1st way: trig integral ∫sec^2(9x) tan^3(9x) dx

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1st/2 ways: derivative y=(ln(x))^x

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prob stat: Find the weighted mean of the numbers 8 &12, if they are ...

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Alternate way: exp derivative x^n

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CMU: Find these integrals (a)-(b)

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exp integral e^x (f(x) + f'(x)) dx

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prob stat: The speeds, to the nearest mile per hour,, of 120 vehicles passing a check point

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AP Calculus 2nd way: trig integral ∫sin^2(x) cos^2(x) dx

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prob stat: A candidate obtained the following results in her math examination:

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trig Show ...

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prob stat: Show if y=ax+b where a & b are constants then ȳ = ax̄ + b

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