Consider the blue horizontal line shown above (click on graph for better view) c

Question

Consider the blue horizontal line shown above (click on graph for better view) connecting the graphs x = f(y) = sin(2y) and x = g(y) = cos(1y). Referring to this blue line, match the statements below about rotating this line with the corresponding statements about the result obtained. The result of rotating the line about the x-axis is The result of rotating the line about the y-axis is The result of rotating the line about the line y = 1 is The result of rotating the line about the line x = - 2 is The result of rotating the line about the line x = pi is The result of rotating the line about the line y = - 2 is The result of rotating the line about the line y = n The result of rotating the line about the line y = -pi a cylinder of radius y and height cos(1y) - sin(2y) an annulus with inner radius 2 + sin(2y) and outer radius 2 + cos(1y) a cylinder of radius pi + y and height cos(1y) - sin(2y) a cylinder of radius 1 - y and height cos(1y) - sin(2y) a cylinder of radius 2 + y and height cos(1y) - sin(2y) a cylinder of radius pi - y and height cos(1y) - sin(2y) an annulus with inner radius pi - cos(1y) and outer radius pi - sin(2y) is an annulus with inner radius sin(2y) and outer radius cos(1y)

Explanation / Answer

Here is the match

1. G.
2. A.
3. D.
4. E.
5. H.
6. F.
7. C.
8. B.

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