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Consider the blue vertical line shown above (click on graph for better view) connecting the graphs y = g(x) = sin(2x) and y = f(x) = cos(3x). 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 æ = T is 6. The result of rotating the line about the line y = -2 is y 7. The result of rotating the line about the line y = T y=f(x) 8. The result of rotating the line about the line y = -T A. a cylinder of radius T – x and height cos(3x) – sin(2x) B. a washer with inner radius 2+ sin(2x) and outer radius 2 + cos(3x) C. a washer with inner radius T + sin(2x) and outer radius T + cos(3x) D. a washer with inner radius T – cos(3x) and outer radius T – sin(2x) E. a washer with inner radius 1 – cos(3x) and outer radius 1 – sin(2x) is F. a washer with inner radius sin(2x) and outer radius cos(3x) G. a cylinder of radius x and height cos(3x) – sin(2x) H. a cylinder of radius a + 2 and height cos(3x) – sin(2x) (y=g(x)

Consider the blue vertical line shown above (click on graph for better view) connecting the graphs y = g(x) = sin(2x) and y = f(x) = cos(3x). 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 æ = T is 6. The result of rotating the line about the line y = -2 is y 7. The result of rotating the line about the line y = T y=f(x) 8. The result of rotating the line about the line y = -T A. a cylinder of radius T – x and height cos(3x) – sin(2x) B. a washer with inner radius 2+ sin(2x) and outer radius 2 + cos(3x) C. a washer with inner radius T + sin(2x) and outer radius T + cos(3x) D. a washer with inner radius T – cos(3x) and outer radius T – sin(2x) E. a washer with inner radius 1 – cos(3x) and outer radius 1 – sin(2x) is F. a washer with inner radius sin(2x) and outer radius cos(3x) G. a cylinder of radius x and height cos(3x) – sin(2x) H. a cylinder of radius a + 2 and height cos(3x) – sin(2x) (y=g(x)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 10DE
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Consider the blue vertical line shown above (click on graph for better view) connecting the graphs y = g(x) = sin(2x) and f(x) = cos(3x). 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 = T İs 6. The result of rotating the line about the line y -2 is y 7. The result of rotating the line about the line y = T y=f(x) 8. The result of rotating the line about the line y = -T A. a cylinder of radius T – x and height cos(3x) – sin(2x) B. a washer with inner radius 2+ sin(2x) and outer radius 2+ cos(3x) C. a washer with inner radius T+ sin(2x) and outer radius T+ cos(3x) sin(2x) sin(2x) is D. a washer with inner radius T cos(3x) and outer radius T cos(3x) and outer radius 1 F. a washer with inner radius sin(2x) and outer radius cos (3x) - sin(2x) H. a cylinder of radius x + 2 and height cos(3x) – sin(2x) E. a washer with inner radius 1 y=g(x) - G. a cylinder of radius x and height cos(3x) COS ||
Transcribed Image Text:Consider the blue vertical line shown above (click on graph for better view) connecting the graphs y = g(x) = sin(2x) and f(x) = cos(3x). 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 = T İs 6. The result of rotating the line about the line y -2 is y 7. The result of rotating the line about the line y = T y=f(x) 8. The result of rotating the line about the line y = -T A. a cylinder of radius T – x and height cos(3x) – sin(2x) B. a washer with inner radius 2+ sin(2x) and outer radius 2+ cos(3x) C. a washer with inner radius T+ sin(2x) and outer radius T+ cos(3x) sin(2x) sin(2x) is D. a washer with inner radius T cos(3x) and outer radius T cos(3x) and outer radius 1 F. a washer with inner radius sin(2x) and outer radius cos (3x) - sin(2x) H. a cylinder of radius x + 2 and height cos(3x) – sin(2x) E. a washer with inner radius 1 y=g(x) - G. a cylinder of radius x and height cos(3x) COS ||
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