Find the absolute maximum of f(x,y)=x^2−y^2−x on the region R={(x,y)|3≤x≤5,2≤y≤4}. Express the answer as an ordered triple.?

3 Answers

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  • 4 weeks ago

    (5, 2, 16)

    [Did it on a spreadsheet]

  • ted s
    Lv 7
    4 weeks ago

    on the interior the critical point is ( 1/2 , 0) where f has  value - 1/ 4...on x = 3 f has max at y = 2 with value  2 , on x = 5  the max is 16 , on y = 2  the max is 16 , on y = 4  the max is 4....thus f_max = 16 ....you certainly can find the point(s) where the max occurs

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