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Slope Fields

Slope Fields. Quiz. Find the average value of the velocity function on the given interval: [ 3, 6 ] 2) Find the derivative of 3) 4) 5). Consider the differential equation

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Slope Fields

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  1. Slope Fields

  2. Quiz • Find the average value of the velocity function on the given interval: [ 3, 6 ] 2) Find the derivative of 3) 4) 5)

  3. Consider the differential equation This derivative represents the slope of the function at any given values of x and y

  4. Small line segments can be drawn to represent small sections of the slope at any given point The result is called a slope field

  5. The solution (integral) of the differential equation represents one possible “shape” of the slope field Example: Solve the differential equation for the specific point and sketch the solution on the slope field

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