Find V(x-x^2, [-1,2]) and V(cos(4PIx), [0,1]).

I don't even know what this notation means...

Any help??

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- Oct 6th 2009, 03:08 PMfriday616analysis help
Find V(x-x^2, [-1,2]) and V(cos(4PIx), [0,1]).

I don't even know what this notation means...

Any help?? - Oct 8th 2009, 01:03 PMOpalg
That is not a standard notation, so what follows is only a guess. I suspect that the V stands for variation. So the question is possibly asking for the total variation of the function over the given interval.

For example, the function $\displaystyle x-x^2$ increases from –1 to 1/2, and then decreases from 1/2 to 2. So its total variation over the interval [–1,2] is the amount that it increases between x=–1 and x=1/2, plus the amount that it decreases between x=1/2 and x=2. - Oct 8th 2009, 03:11 PMtonio