Consider the blue horizontal line shown above , connecting the graphs x = f(y) =

Question

Consider the blue horizontal line shown above , 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 = pi 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

1) A

2) H

3) D

4) B

5) G

6) E

7) F

8) C

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