Chapter 6, Problem 9RE

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# Slope Field In Exercises 9 and 10, a differential equation and its slope field are given. Complete the table by determining the slopes (if possible) in the slope field at the given points. x -4 -2 0 2 4 8 y 2 0 4 4 6 8 d y / d x d y d x = 2 x − y

To determine
The values in the table by determining the slope in the slope field for dydx=2xy.

Explanation

Given:

The function dydx=2xâˆ’y

The graph:

Explanation:

Let f(x,y)=2xâˆ’y.

The value of f at the point (âˆ’4,2) is:

f((âˆ’4),2)=2(âˆ’4)âˆ’2=âˆ’8âˆ’2=âˆ’10

So, the value of dydx at the point (âˆ’4,2) is âˆ’10.

The value of f at the point (âˆ’2,0) is:

f((âˆ’2),0)=2(âˆ’2)âˆ’(0)=âˆ’4

So, the value of dydx at the point (âˆ’2,0) is âˆ’4.

The value of f at the point (0,4) is:

f(0,4)=2(0)âˆ’(4)=âˆ’4

So, the value of dydx at the point (0,4) is âˆ’4

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started