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Math Help - Slope field?

  1. #1
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    Slope field?

    Can anyone help me figure out the slope field of dy/dx= x(cubed root(y))? I just can't figure it out.
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  2. #2
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    Re: Slope field?

    You do know what a "slope field" is, don't you? Pick some values of x and y, calculate x\sqrt[3]{y} for each of those x, y, draw a short line segment centered at (x,y) and with that slope.
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  3. #3
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    Re: Slope field?

    This problem is not difficult - just tedious. Start asking yourself questions like, "Where is the slope zero?", "Where is it positive/negative?", etc.

    For example, the slope is 1 on the curve 1=x\sqrt[3]{y} or y=\frac{1}{x^3}.

    Just keep it up until you have what you think is enough slopes to make a slope field.

    - Hollywood
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