Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
y x=f(y) x=g(y) Consider the blue horizontal line shown above (click on graph for better view) connecting the graphs x = f(y) = sin(2y) and x = g(y) = cos(3y). Referring to this blue line, match the statements below about rotating this line with the corresponding statements about the result obtained. a 1. The result of rotating the line about the x-axis is h 2. The result of rotating the line about the y-axis is d 3. The result of rotating the line about the line y = 1 is b 4. The result of rotating the line about the line x = -2 is g 5. The result of rotating the line about the line x = π is e 6. The result of rotating the line about the line y = - 2 is f 7. The result of rotating the line about the line y = π c 8. The result of rotating the line about the line y = π A. an annulus with inner radius 2 + sin(2y) and outer radius 2 + cos(3y) B. a cylinder of radius y and height cos(3y) - sin(2y) C. a cylinder of radius +y and height cos(3y) sin(2y) D. a cylinder of radius - y and height cos(3y) - sin(2y) E. an annulus with inner radius - cos(3y) and outer radius - sin(2y) is F. an annulus with inner radius sin(2y) and outer radius cos(3y) G. a cylinder of radius 1 - y and height cos(3y) - sin(2y) H. a cylinder of radius 2 + y and height cos(3y) sin(2y)

y x=f(y) x=g(y) Consider the blue horizontal line shown above (click on graph for better view) connecting the graphs x = f(y) = sin(2y) and x = g(y) = cos(3y). Referring to this blue line, match the statements below about rotating this line with the corresponding statements about the result obtained. a 1. The result of rotating the line about the x-axis is h 2. The result of rotating the line about the y-axis is d 3. The result of rotating the line about the line y = 1 is b 4. The result of rotating the line about the line x = -2 is g 5. The result of rotating the line about the line x = π is e 6. The result of rotating the line about the line y = - 2 is f 7. The result of rotating the line about the line y = π c 8. The result of rotating the line about the line y = π A. an annulus with inner radius 2 + sin(2y) and outer radius 2 + cos(3y) B. a cylinder of radius y and height cos(3y) - sin(2y) C. a cylinder of radius +y and height cos(3y) sin(2y) D. a cylinder of radius - y and height cos(3y) - sin(2y) E. an annulus with inner radius - cos(3y) and outer radius - sin(2y) is F. an annulus with inner radius sin(2y) and outer radius cos(3y) G. a cylinder of radius 1 - y and height cos(3y) - sin(2y) H. a cylinder of radius 2 + y and height cos(3y) sin(2y)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
### Transcription and Explanation **Image Description:** The image contains a graph with two curves and a blue horizontal line. The curves are labeled as \( x = f(y) = \sin(2y) \) and \( x = g(y) = \cos(3y) \). The graph is a typical Cartesian plane with \( x \) and \( y \) axes. **Instructions:** Consider the blue horizontal line shown above (click on graph for the better view) connecting the graphs \( x = f(y) = \sin(2y) \) and \( x = g(y) = \cos(3y) \). Referring to this blue line, match the statements below about rotating this line with the corresponding statements about the result obtained. **Statements:** 1. The result of rotating the line about the \( x \)-axis is 2. The result of rotating the line about the \( y \)-axis is 3. The result of rotating the line about the line \( y = 1 \) is 4. The result of rotating the line about the line \( x = -2 \) is 5. The result of rotating the line about the line \( x = \pi \) is 6. The result of rotating the line about the line \( y = -2 \) is 7. The result of rotating the line about the line \( y = \pi \) is 8. The result of rotating the line about the line \( y = -\pi \) is **Possible Outcomes:** A. An annulus with inner radius \( 2 + \sin(2y) \) and outer radius \( 2 + \cos(3y) \) B. A cylinder of radius \( y \) and height \( \cos(3y) - \sin(2y) \) C. A cylinder of radius \(\pi + y\) and height \(\cos(3y) - \sin(2y)\) D. A cylinder of radius \(\pi - y\) and height \(\cos(3y) - \sin(2y)\) E. An annulus with inner radius \(\cos(3y)\) and outer radius \(\pi - \sin(2y)\) F. An annulus with inner radius \(\sin(2y)\) and outer radius \(\cos(3
Transcribed Image Text:### Transcription and Explanation **Image Description:** The image contains a graph with two curves and a blue horizontal line. The curves are labeled as \( x = f(y) = \sin(2y) \) and \( x = g(y) = \cos(3y) \). The graph is a typical Cartesian plane with \( x \) and \( y \) axes. **Instructions:** Consider the blue horizontal line shown above (click on graph for the better view) connecting the graphs \( x = f(y) = \sin(2y) \) and \( x = g(y) = \cos(3y) \). Referring to this blue line, match the statements below about rotating this line with the corresponding statements about the result obtained. **Statements:** 1. The result of rotating the line about the \( x \)-axis is 2. The result of rotating the line about the \( y \)-axis is 3. The result of rotating the line about the line \( y = 1 \) is 4. The result of rotating the line about the line \( x = -2 \) is 5. The result of rotating the line about the line \( x = \pi \) is 6. The result of rotating the line about the line \( y = -2 \) is 7. The result of rotating the line about the line \( y = \pi \) is 8. The result of rotating the line about the line \( y = -\pi \) is **Possible Outcomes:** A. An annulus with inner radius \( 2 + \sin(2y) \) and outer radius \( 2 + \cos(3y) \) B. A cylinder of radius \( y \) and height \( \cos(3y) - \sin(2y) \) C. A cylinder of radius \(\pi + y\) and height \(\cos(3y) - \sin(2y)\) D. A cylinder of radius \(\pi - y\) and height \(\cos(3y) - \sin(2y)\) E. An annulus with inner radius \(\cos(3y)\) and outer radius \(\pi - \sin(2y)\) F. An annulus with inner radius \(\sin(2y)\) and outer radius \(\cos(3
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS