1 point Consider the blue vertical line shown above (click on graph for better v

Question

1 point Consider the blue vertical line shown above (click on graph for better view) connecting the graphs y = g(x) = sin(2x) and y =f(x) cos(lx). Referring to this blue line, match the statements below about rotating this line with the corresponding statements about the result obtained. c 1. The result of rotating the line about the x-axis is g 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 = 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 = 8. The result of rotating the line about the line y =- b 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 + sin(2x) and outer radius + cos(1x) D. an annulus with inner radius 1 - cos(1x) and outer radius 1 - sin(2x) is E. an annulus with inner radius 2 + sin(2x) and outer radius 2 + cos(1x) an annulus with inner radius -cos(1x) and outer radius -sin(2x) G. a cylinder of radius -x and height cos(1x)-sin(2x) H. a cylinder of radius x and height cos(1x) - sin(2x)

Explanation / Answer

1. A because innner radius = distance between x axis and lower end of line = sin(2x) and outer radius = distance between x axis and upper end of line= cos(x)

2. H radius = distance between y axis and line = x , height = length of line = cos(x) - sin(2x)

3. D   simmilar in all case

4. B

5. G

6. E

7. F

8. C

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