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Q5&6 5. Let G(x) = x Inx , X20. ( a) Show that G is strictly decreasing on ( e , too ) Strictly decreasing

Q5&6

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5. Let G(x) = x Inx , X20. ( a) Show that G is strictly decreasing on ( e , too ) Strictly decreasing means 6 ( x, ) >, I. 1/ TT ( b ) Deduce that 3 /3 > IT So 3 "" > TT3 ( c) Check that 3# > TT3 by using a calculatorb. 24= 42 and 12 = C Why are these facts consistent with problem 5 ? Explain by drawing and discussing the graph of y = X / x ( x >, 1 )

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