• :00Days
  • :00Hours
  • :00Mins
  • 00Seconds
A new era for learning is coming soonSign up for free
Log In Start studying!

Select your language

Suggested languages for you:
Deutsch (DE)
Deutsch (UK)
Deutsch (US)

Americas

Europe

Answers without the blur. Sign up and see all textbooks for free! → Illustration

Q. 5

Expert-verified
Calculus
Found in: Page 1095
Calculus

Calculus

Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later
Illustration

Short Answer

What are the outputs of a vector field in the Cartesian plane?

The outputs of a vector field in the Cartesian plane is vectors.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1.Given Information

What are the outputs of a vector field in the Cartesian plane?

Step 2. The outputs of a vector field in the Cartesian plane 

We've looked at two- and three-variable functions with a numerical output. We could also write functions with a vector output.

A vector field is a function that assigns a vector to each point in its domain. Thus, a vector field in the plane has outputs that are vectors in the xy-plane

Most popular questions for Math Textbooks

Find the area of S is the portion of the plane with equation x = y + z that lies above the region in the xy-plane that is bounded by y = x, y = 5, y = 10, and the y-axis.

Give a formula for a normal vector to the surface S determined by y = g(x,z), where g(x,z) is a function with continuous partial derivatives.

Work as an integral of force and distance: Find the work done in moving an object along the x-axis from the origin to x=π2 if the force acting on the object at a given value of x is role="math" localid="1650297715748" F(x)=xsinx.

Find the work done by the vector field


F(x,y)=xex2+y2x2+y2i+yex2+y2x2+y2j


in moving an object around the unit circle, starting and ending at (1,0).

Give an example of a field with positive divergence at (1, 0, π).
Icon

Want to see more solutions like these?

Sign up for free to discover our expert answers
Get Started - It’s free

Recommended explanations on Math Textbooks

Decision Maths

Read explanation

Calculus

Read explanation

Probability and Statistics

Read explanation

Statistics

Read explanation

Mechanics Maths

Read explanation

Geometry

Read explanation

Pure Maths

Read explanation

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.