Homework Help is Here – Start Your Trial Now!
Math
Calculus
Locate the points given in polar coordinates by P(2, ¹T), Q(2, 5₁), R(3, ½T) 6 among

Locate the points given in polar coordinates by P(2, ¹T), Q(2, 5₁), R(3, ½T) 6 among

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question
100%
Locate the points given in polar coordinates by among 1. 2. 3. 4. 5. P(2, ¹T), Q(2.5T), R(3, 1⁄2T) D Ρ:Δ P:O 001 P:● P: A 6. P:O A. 2 2 -2. P:● Q:A Q:● Q: ● Q:0 Q:0 Q:A O R:O R: A R:O R: A Ꭱ ; R:
Transcribed Image Text:Locate the points given in polar coordinates by among 1. 2. 3. 4. 5. P(2, ¹T), Q(2.5T), R(3, 1⁄2T) D Ρ:Δ P:O 001 P:● P: A 6. P:O A. 2 2 -2. P:● Q:A Q:● Q: ● Q:0 Q:0 Q:A O R:O R: A R:O R: A Ꭱ ; R:
Expert Solution
Step 1

NOTE: Refresh your page if you can't see any equations.

.

P=\left(r,\:\theta \right)=\left(2,\:\frac{\pi }{4}\right)

r=2,\:\:\theta =\frac{\pi }{4}

.

the x and y coordinates are given by 

x=r\cos \left(\theta \right),\:\:\:\:\:\:\:\:\:y=r\sin \left(\theta \right)

substitute both values

x=2\cos \left(\frac{\pi }{4}\right),\:\:\:\:\:\:\:\:\:y=2\sin \left(\frac{\pi }{4}\right)

x=2\cdot \frac{\sqrt{2}}{2},\:\:\:\:\:\:\:\:\:y=2\cdot \frac{\sqrt{2}}{2}

x=\sqrt{2},\:\:\:\:\:\:\:\:\:y=\sqrt{2}

so the cartesian coordinate is 

{\color{Red} P=\left(x,y\right)=\left(\sqrt{2},\:\sqrt{2}\right)}..............which is a grey circle

steps

Step by step

Solved in 4 steps with 22 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS