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Math Help - graph analysis

  1. #1
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    graph analysis

    I found where it was increasing and decreasing I think. At first I added all the time together from where all the increasing parts are, but then I didn't think that was right. So then I added the parts where it was only going to be concave up, where the positive slopes were, but I'm not sure.
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  2. #2
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    you're making this way too difficult when it is actually very simple.

    P'(x) is the velocity shown in the graph.

    the ant moves upward when P'(x) > 0 (when the graph is above the x-axis)

    the time intervals where P'(x) > 0 would be ...

    0 to 3 = 3

    3.5 to 6 = 2.5

    8 to 13 = 5

    15 to 18.5 = 3.5

    total = 14 minutes
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