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Verify Lagrange's Mean Value Theorem (LMVT) for following functions on indicated intervals. Also, find a point c in the indicated interval that satisfy LMVT. i) f(x)=x(x−2) on [1,3] ii) f(x)=x(x−1)(x−3) on [0,1]

Answer» Verify Lagrange's Mean Value Theorem (LMVT) for following functions on indicated intervals. Also, find a point c in the indicated interval that satisfy LMVT.
i) f(x)=x(x2) on [1,3]
ii) f(x)=x(x1)(x3) on [0,1]


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