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Slope Fields. Quiz 1) Find the average value of the velocity function on the given interval: [ 3, 6 ] 2) Find the derivative of 3) 4) 5)

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Presentation on theme: "Slope Fields. Quiz 1) Find the average value of the velocity function on the given interval: [ 3, 6 ] 2) Find the derivative of 3) 4) 5)"— Presentation transcript:

1 Slope Fields

2 Quiz 1) 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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