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Let f be the function:
F(x)
1/4 x=o,
x 0<x<1
3/4 x=1
Using standard partition Pn (0,1) where n greater or equal to 4
L(f, Pn) = 2n(squared) -3n+4 all divided by 4n(squared)
U(f,Pn) = 2n(squared) +3n+4 all divided by 4n(squared)
and deduce that f is intergrable on (0,1) and evaluate (intergral sign with 1 at top and 0 at bottom) of f
This number system is an extension of the real number system. Any polynomial equation has n complex roots, in general, in the complex number system. For example, the equation x2 + 1 = 0 has no real roots
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Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 7000
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