/*! 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 28. In Exercises 24鈥�31 find all po... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q 28. (page 730)

In Exercises 24鈥�31 find all polar coordinate representations for the point given in rectangular coordinates.

3,4

Short Answer

Expert verified

The polar coordinates are -5,0.927+2办蟺and5,0.927+2办蟺, for any integer k.

Step by step solution

01

Step 1. Given information.

The given rectangular coordinate is:

3,4

Herex=3andy=4.

02

Step 2. Find the value of r.

To find the value of r, use the formula r=x2+y2,

r=32+42r=9+16r=25r=卤5

03

Step 3. Find the value of θ.

Use the formula tan胃=yx,

tan胃=yxthen胃=tan-1yx胃=tan-143胃=0.927

04

Step 4. Find the polar coordinates.

Take r=-5,胃=0.927;thenr,胃=-5,0.927,

The coordinates of r,胃are-5,0.927+2办蟺,for any integer k.


Now take r=5,胃=0.927;thenr,胃=5,0.927,

The coordinates of r,胃are5,0.927+2办蟺, for any integer k.


Therefore, all the polar coordinates are -5,0.927+2办蟺and5,0.927+2办蟺, for any integer k.

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

Use Cartesian coordinates to express the equations for the hyperbolas determined by the conditions specified in Exercises 38鈥�43.

foci(0,卤4), directricesy=卤2

In exercises 31-36 find a definite integral that represents the length of the specified polar curve, and then use a graphing calculator or computer algebra system to approximate the value of integral

Onepetalofthepolarroser=cos2胃

In Exercises 32鈥�47 convert the equations given in polar coordinates to rectangular coordinates.

r=sin4胃

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

y=x

In Exercises 32鈥�47 convert the equations given in polar coordinates to rectangular coordinates.

r=胃
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

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.