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A Function y=f(x) is defined on [0,6] as f(x)= { underset(2 "", ""4le x le6)underset((x-3)^(3)"",""1ltxlt4)(-8x "", ""0lexle1). Show that for the function y=f(x) all thethree conditions of Rolle's theorem are violated on [0,6] but still f(x) vanishes at a point in (0,6)

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