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8) Find a value for \( x=c \) satisfying the conclusion of the mean value theorem for \( y=x^{3}-x ...
8) Find a value for \( x=c \) satisfying the conclusion of the mean value theorem for \( y=x^{3}-x^{2}+x-2 \) on the interval \( [0,2] \). Show all work. Give an exact answer.