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need some help in core 2: exercise 11D: question 8 on page 168 Watch

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    the question reads:

    the diagram shows part of a sketch of the curve with equation y=2/x^2+x. the points A and B have x-coordinates 1/2 and 2 respectively. find the area of the finite region between AB and the curve.
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    (Original post by GabJul)
    the question reads:

    the diagram shows part of a sketch of the curve with equation y=2/x^2+x. the points A and B have x-coordinates 1/2 and 2 respectively. find the area of the finite region between AB and the curve.
    What are your thoughts?
    I'm gonna guess that this might be your problem
    Spoiler:
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    \frac{2}{x^2} = 2 x^{-2}
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    A and B I assume are points on the curve?
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    (Original post by GabJul)
    the question reads:

    the diagram shows part of a sketch of the curve with equation y=2/x^2+x. the points A and B have x-coordinates 1/2 and 2 respectively. find the area of the finite region between AB and the curve.
    is that \frac{2}{x^2+x} ?
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    yes, which intersect with the line .. substituting each x value in the original equation, the y values for A and B would be 17/2 and 5/2 respectively
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    no y=(2/x^2) +2
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    (Original post by GabJul)
    yes, which intersect with the line .. substituting each x value in the original equation, the y values for A and B would be 17/2 and 5/2 respectively
    Ok, so how would you find the equation of the line AB? Using the x and y coordinates?
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    i would think using m= (y2-y1)/(x2-x1) and then y-y1=m(x-x1) ?
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    (Original post by GabJul)
    i would think using m= (y2-y1)/(x2-x1) and then y-y1=m(x-x1) ?
    Good, so having done that, would you be able then to complete the question?
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    i did it!
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    (Original post by GabJul)
    i did it!
    Good. Well done, Repped
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    thanks, repped ?
 
 
 
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