Apentix/AP Calculus AB/Unit 7: Differential Equations/Question

AP Calculus ABhardmcq1 pt

A slope field for $\dfrac{dy}{dx} = \sin(\pi y)$ on $0 \le y \le 3$ is shown. How many horizontal equilibrium lines appear in this region?

A.

4

B.

3

C.

5

D.

2

Explanation

Core Concept

$\sin(\pi y) = 0$ when $\pi y$ is a multiple of $\pi$ , giving integer values $y = 0, 1, 2, 3$ within the region.

Correct Answer

A $4$

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