Consider the blue vertical line shown above (click on graph for better view) con

Question

Consider the blue vertical line shown above (click on graph for better view) connecting the graphs If y = g(x) = sin(2x) and y = f cos(3x). Referring to this blue line, match die statements below about rotating this line with the corresponding statements about the result obtained. The result of rotating the line about x-axis is The result of rotating the line about 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 x + 2 and height cos(3x) - sin(2x) an annulus with inner radius sin(2x) and outer radius cos(3x) an annulus with inner radius pi + sin(2x) and outer radius pi + cos(3x) an annulus with inner radius pi - cos (3x) and outer radius pi - sin(2x) a cylinder of radius pi - cos (3x) - sin(2x) a cylinder of radius x and height cos(3x) and outer radius 1 - sin(2x) is an annulus with inner radius 2 + sin(2x) and other radius 2 + cos(3x)

Explanation / Answer

1.B

2.F

3.G

4.A

5.E

6.H

7.D

8.C

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