Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 9: Q. 18 (page 747)

Graph the equation in the θr-plane. Label each arc of your curve with the quadrant in which the corresponding polar graph will occur.

r=12-sinθ

Short Answer

Expert verified

The graph of the equation is:

Step by step solution

01

Step 1. Given information

The equation:

r=12-sinθ

02

Step 2. Graph the equation in θr-plane. 

The value of θlies on the horizontal axis and rlies on the vertical axis.

The graph of r=12-sinθis obtained by reflecting the graph of r=sinθwith respect to the horizontal axis, then shifting the graph by 12unit, vertically upward.

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

Use Cartesian coordinates to express the equations for the parabolas determined by the conditions specified in Exercises 22–31.

r=41+sinθ

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.

r=2cosθ

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

y=-3

Use Cartesian coordinates to express the equations for the parabolas determined by the conditions specified in Exercises 22–31.

directrixx=-1,focus(2,5)
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

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