/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 11. Identify the conic that each pol... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q 11. (page 683)

Identify the conic that each polar equation represents. Also, give the position of the directrix.

r=34-2cos(胃)

Short Answer

Expert verified

This polar equation is an ellipse.

The equation of directrix x=-32

Step by step solution

01

Step 1. Given information

The polar equation is

r=34-2cos(胃)

02

Step 2. Finding e and p

The polar equation is

r=34-2cos(胃)

Divide top and bottom by 4

r=3444-24cos(胃)r=341-12cos(胃)

Compare with the standard polar equation

r=ep1-ecos(胃)

So,

ep=34e=1212脳p=34p=32

03

Step 3. Identify the conic equation

We have got

e=12<1

So, this is an ellipse equation.

04

Step 4. Finding the directrix equation

The formula for the directrix equation is

x=-p

Plug p=32

So, the directrix equation isx=-32

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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

In Problems 31鈥� 42, rotate the axes so that the new equation contains no xy-term. Analyze and graph the new equation. Refer to Problems 21鈥�30 for Problems 31鈥� 40.11x2+103xy+y2-4=0

In Problem, identify the graph of each equation without completing the squares.

6x2+3y2-12x+6y=0

2. To complete the square of x2-4x,add _______.

The graph of a parabola is given. Match each graph to its equation.

Find an equation for each ellipse. Graph the equation by hand.

Center at (2,-2): vertex at (7,-2): focus at(4,-2).
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Decision Maths

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.