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Verify Mean value theorem for the following functions: $(a)\;f(x)=x(x+4)^2\;on\;[0,4]\\ (b)\;f(x)= 2 \sin x +\sin 2x \;on\;[0,\pi] \\ (c)\;f(x)=x^3-2x^2-x+3\;in\;[0,1] \\ (d)\;f(x)=x +\large\frac{1}{x} \normalsize \;on \;[1,3]$

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