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AP Calculus BC/Unit 7: Differential Equations
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Slope Field Interpretation
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Which of the following statements correctly describes the slope field for the differential equation $$\frac{dy}{dx}=x$$?

A

At any point with an x-coordinate of -1, the tangent line has a slope of 0.

B

At any point with an x-coordinate of -1, the drawn tangent line has a slope of -1, consistent with the equation.

C

At any point with an x-coordinate of -1, the tangent line has a slope of 1.

D

At any point with an x-coordinate of -1, the tangent line has a slope of -0.5.

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