Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 9: Q 16. (page 775)

Use polar coordinates to graph each of the following functions.

r=3cos4θ

Short Answer

Expert verified

The required graph is:

Step by step solution

01

Step 1. Given information.

The given polar function isr=3cos4θ.

02

Step 2. The graphical representation of the value is as follows.

Hence, the required graph is:

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Measurements indicate that the orbital eccentricity of Mars is0.0935 and its semimajor axis is 1.517323951astronomical units.

(a) Write a Cartesian equation for the orbit of Mars.

(b) Do xand yhave the same meaning as in Exercise 53?

(c) Give a polar coordinate equation for the orbit of Mars, assuming that the sun is the focus of the elliptical orbit.

In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
θ=-π6

Sketch the graphs of the equations

r=22+cosθand localid="1649860998050" r=22+sinθ

What is the relationship between these graphs? What is the eccentricity of each graph?

Sketch the graphs of the equations

r=11+cosθand localid="1649854142659" r=11+sinθ

What is the relationship between these graphs? What is the eccentricity of each graph?

In Exercises 48–55 convert the equations given in rectangular coordinates to equations in polar coordinates.

y=-3
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free