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AP Calculus AB/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 dydx=x\frac{dy}{dx}=x?

A

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

B

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

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.

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