A slope field is shown for $\dfrac{dy}{dx} = x + y$. A solution curve passes through $(0,0)$. In which direction does the curve move as $x$ increases slightly from $0$?

Question

Accepted Answer

B. It is momentarily horizontal, because the slope at $(0,0)$ is $0$.

Answer

Upward, because the slope at $(0,0)$ is positive.

Answer

It is momentarily horizontal, because the slope at $(0,0)$ is $0$.

Answer

Downward, because the slope at $(0,0)$ is negative.

Answer

It is vertical, because the slope at $(0,0)$ is undefined.

A slope field is shown for $\dfrac{dy}{dx} = x + y$ . A solution curve passes through $(0,0)$ . In which direction does the curve move as $x$ increases slightly from $0$ ?

Explanation

Core Concept

Correct Answer

More Unit 7: Differential Equations practice questions

A slope field is shown for dydx=x+y\dfrac{dy}{dx} = x + ydxdy​=x+y. A solution curve passes through (0,0)(0,0)(0,0). In which direction does the curve move as xxx increases slightly from 000?

Explanation

Core Concept

Correct Answer

More Unit 7: Differential Equations practice questions

A slope field is shown for $\dfrac{dy}{dx} = x + y$ . A solution curve passes through $(0,0)$ . In which direction does the curve move as $x$ increases slightly from $0$ ?