Monday, February 1, 2010

Slope Fields: On January 27th, we learned about Slope Fields. To find the graph of a differentiable equation, one can find the slope fields of each point by plugging in the x & y coordinates of each point. The number found by plugging into the equation is the slope of the slope field.

Many times, the graph may look the same, such as graph 1, where even though the second point is not the same as the first, it is the same shape.

To check if a line drawn on a slopefield is correct, plug in the given points into point-slope formula, and substitute into the given dy/dx formula.

You can find this in the calculator by following the instructions on page (2).



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