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Math Help - confusing word problem

  1. #1
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    confusing word problem

    Coffee is being poured into the mug shown in the figure at constant rate (measured in volume per unit time). Sketch a rough graph of the depth of the coffee in the mug as a function of time. Account for the shape of the graph in terms on concavity? What is the significance of the inflection point?







    This does not make sense at all.
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  2. #2
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    Was that drawing part of the problem given?
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  3. #3
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    Quote Originally Posted by Arturo_026 View Post
    Was that drawing part of the problem given?
    ya thats the drawing they give no numbers just and outline of a coffee mug.
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  4. #4
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    ?
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  5. #5
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    Ok. What I think your rough sketch should look like is the f(x)=x^(1/3) graph.

    Ofcourse it must be shifted to the right and up so it begins at (0,0).

    label the x-axis "time' and the y-axis "depth". So if you see the graph at the middle the inflection point represents the depth of the mug increasing as the thin part fills up.
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