A finite design interval

A finite design interval

6 marks
TGM Original
A design parameter x is restricted to 1 <= x 4. A beam rating is R=x3-6x2+9x+20. Find the greatest and least ratings on this interval, showing why checking only stationary points would be insufficient.

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Answer:Greatest rating \(24\) at \(x=1,4\); least rating \(20\) at \(x=3\).

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