i need help with this Consider the blue vertical line shown above (click on grap

Question

i need help with this

Consider the blue vertical line shown above (click on graph for better view) connecting the graphs y = g(x) = sin(lx) and y =f(x) = cos(4x). 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 d 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 w 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 = w 8. The result of rotating the line about the line y = -w A. a cylinder of radius x and height cos(4x) - sin(lx) B. an annulus with inner radius w + sin(lx) and outer radius w + cos(4x) C. an annulus with inner radius w - cos(4x) and outer radius w - sin(1x) D. an annulus with inner radius 1 - cos(4x) and outer radius 1 - sin(lx) is E. a cylinder of radius x + 2 and height cos(4x) - sin(1x) F. an annulus with inner radius 2 + sin(1x) and outer radius 2 + cos(4x) G. an annulus with inner radius sin(lx) and outer radius cos(4x) H. a cylinder of radius w - x and height cos(4x) - sin(1x)

Explanation / Answer

CORRECT MATCH

==========

1. G

2. A

3. D

4. E

5. H

6. F

7. C

8. B

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