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

AP Calculus ABmediummcq1 pt

A slope field for $\dfrac{dy}{dx} = \sin(\pi x)\cos\!\left(\dfrac{\pi y}{2}\right)$ is shown. What is the slope of the segment at the point $(0.5,1)$ ?

A.

0.5

B.

0

C.

1

D.

-1

Explanation

Core Concept

$\sin\!\left(\dfrac{\pi}{2}\right) = 1$ and $\cos\!\left(\dfrac{\pi}{2}\right) = 0$ , so the product of the two factors is $0$ .

Correct Answer

B $0$

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