/*! 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. 69 In Problems 67鈥�70, the polar e... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q. 69 (page 584)

In Problems 67鈥�70, the polar equation for each graph is either r=a+bcos胃or r=a+bsin胃,a>0. Select the correct equation and find the values of aand b.

Short Answer

Expert verified

The correct equation for the graph isr=4+sin胃

And the value of a is4 and bis1

Step by step solution

01

Step 1. Given

The graph:

The polar equations:

r=a+bcos胃r=a+bsin胃

02

Step 2. Test for r=a+b cos θ

Substitute the point (4,0)from the graph in the equation,

4=a+bcos(0)4=a+b

Substitute the point (5,蟺2)from the graph in the equation,

5=a+bcos蟺2a=5

03

Step 3. Find b

Substitute a=5in the equation,

a+b=45+b=4b=-1

Since b>0, it is not a correct equation, so test the other equation.

04

Step 4. Test the equation r=a+b sin θ

Substitute (4,0)in the equation,

4=a+bsin(0)4=a

Substitute (5,蟺2)in the equation,

5=4+bsin(蟺2)5-4=bb=1

05

Step 5. Find the equation

Substitute a=4;b=1in the suitable equation,

r=4+1sin胃r=4+sin胃

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

Identify and graph each polar equation. Verify your graph using a graphing utility.
r=2+4cos胃

To complete the square ofx2+6x, add _____

True or False The tests for symmetry in polar coordinates are necessary but not sufficient.

Match the graph with the polar equation

胃=3蟺4

In Problems 61鈥�66, graph each pair of polar equations on the same polar grid. Find the polar coordinates of the point(s) of intersection and label the point(s) on the graph.

r=3;r=2+2cos胃
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

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.