Consider the blue vertical line connecting the graphs y=g(x)=sin(2x) and y=f(x)=cos(1x).
Referring to this blue line, match the statements below about rotating this line with the corresponding statements about the result obtained (numbers with letters).
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
A. an annulus with inner radius sin(2x) and outer radius cos(1x)
B. a cylinder of radius x+2 and height cos(1x)-sin(2x)
C. an annulus with inner radius pi+sin(2x) and outer radius pi+cos(1x)
D. an annulus with inner radius 1-cos(1x) and outer radius 1-sin(2x)
E. an annulus with inner radius 2+sin(2x) and outer radius 2+cos(1x)
F. an annulus with inner radius pi-cos(1x) and outer radius pi-sin(2x)
G. a cylinder of radius pi-x and height cos(1x)-sin(2x)
H. a cylinder of radius x and height cos(1x)-sin(2x)
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