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

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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 61E

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