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Let f(x) be a polynomial of degree 1. If f(10)-f(5)=15, then f(20)-f(5)=?
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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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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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1st way: exp ∫(e^x)/x (1+x log(x)) dx
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alternate way: count sum 1 + 2 + 3+... + n via "polynomial"
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U North Texas Integration Bee 2nd way: x^2/√(x-1) dx
Pantun Melayu [Buah cempedak di luar pagar]
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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AI 2008 Hindustan 2nd/2 ways: Evaluate trig integral ∫2cos(x)/(3 sin^3(x)) dx
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2nd way: integral ∫ log √x(x^n) dx
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integral ∫x^3/(1-x^8) dx
4 ways: trig integral ∫tan(x) dx
prob stat The members of an orchestra were asked how many instruments each could play.
When a die was thrown the scores was an odd #. What is the prob. that it was a prime #?
prob stat: An ordinary die is thrown. Find the prob. that the number obtained is
exp derivative e^(ax+b)/2^(ax)
2nd way: trig integral ∫sin(a/x +b)/x^2 dx