Learning Materials
Features
Discover
Chapter 9: Q 1. (page 757)
The cardioid defined by r = 1 + cos θ and its interior is
translated one unit perpendicular to the xy-plane to define a
“cylinder.”
Find the volume of the cylinder.
Volume is 5 square units.
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
In Exercises 48–55 convert the equations given in rectangular coordinates to equations in polar coordinates.
In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.
Measurements indicate that the orbital eccentricity of Mars is and its semimajor axis is astronomical units.
(a) Write a Cartesian equation for the orbit of Mars.
(b) Do and have the same meaning as in Exercise 53?
(c) Give a polar coordinate equation for the orbit of Mars, assuming that the sun is the focus of the elliptical orbit.
Measurements indicate that Earth’s orbital eccentricity is and its semimajor axis is astronomical units.
(a) Write a Cartesian equation for Earth’s orbit.
(b) Give a polar coordinate equation for Earth’s orbit, assuming that the sun is the focus of the elliptical orbit.
Use Cartesian coordinates to express the equations for the parabolas determined by the conditions specified in Exercises 22–31.
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App