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y y=f(x) 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 = = 1 is π is 2. The result of rotating the line about the y-axis is 3. The result of rotating the line about the line y 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 = −2 is 7. The result of rotating the line about the line y = π is 8. The result of rotating the line about the line y = −π is A. a cylinder of radius x + 2 and height cos(3x) – sin(2x) B. an annulus with inner radius sin(2x) and outer radius cos(3x) C. an annulus with inner radius + sin(2x) and outer radius π + cos(3x) D. an annulus with inner radius T cos (3x) and outer radius T E. a cylinder of radius π ― x and height cos(3x) — sin(2x) F. a cylinder of radius x and height cos(3x) sin(2x) G. an annulus with inner radius 1 – cos(3x) and outer radius 1 - sin(2x) sin(2x) H. an annulus with inner radius 2 + sin(2x) and outer radius 2 + cos(3x)

y y=f(x) 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 = = 1 is π is 2. The result of rotating the line about the y-axis is 3. The result of rotating the line about the line y 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 = −2 is 7. The result of rotating the line about the line y = π is 8. The result of rotating the line about the line y = −π is A. a cylinder of radius x + 2 and height cos(3x) – sin(2x) B. an annulus with inner radius sin(2x) and outer radius cos(3x) C. an annulus with inner radius + sin(2x) and outer radius π + cos(3x) D. an annulus with inner radius T cos (3x) and outer radius T E. a cylinder of radius π ― x and height cos(3x) — sin(2x) F. a cylinder of radius x and height cos(3x) sin(2x) G. an annulus with inner radius 1 – cos(3x) and outer radius 1 - sin(2x) sin(2x) H. an annulus with inner radius 2 + sin(2x) and outer radius 2 + cos(3x)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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y y=f(x) 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 = = 1 is π is 2. The result of rotating the line about the y-axis is 3. The result of rotating the line about the line y 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 = −2 is 7. The result of rotating the line about the line y = π is 8. The result of rotating the line about the line y = −π is A. a cylinder of radius x + 2 and height cos(3x) – sin(2x) B. an annulus with inner radius sin(2x) and outer radius cos(3x) C. an annulus with inner radius + sin(2x) and outer radius π + cos(3x) D. an annulus with inner radius T cos (3x) and outer radius T E. a cylinder of radius π ― x and height cos(3x) — sin(2x) F. a cylinder of radius x and height cos(3x) sin(2x) G. an annulus with inner radius 1 – cos(3x) and outer radius 1 - sin(2x) sin(2x) H. an annulus with inner radius 2 + sin(2x) and outer radius 2 + cos(3x)
Transcribed Image Text:y y=f(x) 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 = = 1 is π is 2. The result of rotating the line about the y-axis is 3. The result of rotating the line about the line y 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 = −2 is 7. The result of rotating the line about the line y = π is 8. The result of rotating the line about the line y = −π is A. a cylinder of radius x + 2 and height cos(3x) – sin(2x) B. an annulus with inner radius sin(2x) and outer radius cos(3x) C. an annulus with inner radius + sin(2x) and outer radius π + cos(3x) D. an annulus with inner radius T cos (3x) and outer radius T E. a cylinder of radius π ― x and height cos(3x) — sin(2x) F. a cylinder of radius x and height cos(3x) sin(2x) G. an annulus with inner radius 1 – cos(3x) and outer radius 1 - sin(2x) sin(2x) H. an annulus with inner radius 2 + sin(2x) and outer radius 2 + cos(3x)
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ISBN:
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