Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
Related questions
Question
![**006**
Find a Cartesian equation for the curve given by the polar equation
\[ r = 6 \cos \theta \]
1. \((x - 3)^2 + y^2 = 9\)
2. \(x^2 + (y + 3)^2 = 9\)
3. \((x + 3)^2 + y^2 + 9 = 0\)
4. \(x^2 + (y + 3)^2 + 9 = 0\)
5. \((x + 3)^2 + y^2 = 9\)
6. \(x^2 + (y - 3)^2 = 9\)
7. \((x - 3)^2 + y^2 + 9 = 0\)
8. \(x^2 + (y - 3)^2 + 9 = 0\)
---
**007**
Find a polar representation for the curve whose Cartesian equation is
\[ x^2 + (y + 1)^2 = 1 \]
1. \(r = 2 \cos \theta\)
2. \(r + 1 \sin \theta = 0\)
3. \(r = -\cos \theta\)
4. \(r = -\sin \theta\)
5. \(r + 2 \sin \theta = 0\)
6. \(r = 2 \sin \theta\)
7. \(r + 2 \cos \theta = 0\)
8. \(r + 1 \cos \theta = 0\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a433dd5-6857-42c0-ae40-09bd40f154d3%2Fd4f98a08-4711-4146-bed2-384a0819f7ec%2Fu6gt2j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**006**
Find a Cartesian equation for the curve given by the polar equation
\[ r = 6 \cos \theta \]
1. \((x - 3)^2 + y^2 = 9\)
2. \(x^2 + (y + 3)^2 = 9\)
3. \((x + 3)^2 + y^2 + 9 = 0\)
4. \(x^2 + (y + 3)^2 + 9 = 0\)
5. \((x + 3)^2 + y^2 = 9\)
6. \(x^2 + (y - 3)^2 = 9\)
7. \((x - 3)^2 + y^2 + 9 = 0\)
8. \(x^2 + (y - 3)^2 + 9 = 0\)
---
**007**
Find a polar representation for the curve whose Cartesian equation is
\[ x^2 + (y + 1)^2 = 1 \]
1. \(r = 2 \cos \theta\)
2. \(r + 1 \sin \theta = 0\)
3. \(r = -\cos \theta\)
4. \(r = -\sin \theta\)
5. \(r + 2 \sin \theta = 0\)
6. \(r = 2 \sin \theta\)
7. \(r + 2 \cos \theta = 0\)
8. \(r + 1 \cos \theta = 0\)
Expert Solution
Step 1
as per the roj we can only answer the first question and rest can be reposted.
Step by step
Solved in 2 steps
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage