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as level p1 👍👍👍 find volume of graph?

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  • ?
    Lv 7
    1 year ago
    Favorite Answer

    1.   y = x + 4/x

          y'  =  1 - 4/x^2 = 0

                    x^2 - 4 = 0

                   (x + 2)(x - 2) = 0

            x = 2 is min  ... (x = -2 would be a max .. is not shown on the graph)

          

       5 = x  + 4/x

       5x  = x^2 + 4

       x^2 - 5x + 4 = 0

       (x - 1)(x - 4) = 0

        a= 1  and  b = 4  ...  m = 2

    2.  V  =  integral [1 to 4] pi x^2(5 -(x + 4/x))  dx

            =  pi integral [1 to 4] [5x^2 - x^3 - 4x] dx

             =  pi [(5/3)x^3 - (1/4)x^4 - 2x^2] [1 to 4]

             =  pi [ (320/3 - 64 - 32) - ( (5/3) - (1/4) - 2) )]

             =  45pi/4  <<<  answer

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