Problem 6. (1 point) (incorrect) Problem 7. (1 point) Which of the following integrals represents the volume of the solid obtained by rotating the region bounded by the curves x-y =7 and x = 4 about the line y = 9? x=f(y) x=g(y) . A. 27(+9) V32+7dy . B. 2x( +9)V/32 +7dy . C. 2x(9-y)(4-V3+7) dy . D. / 27()-9)(4-V32 + 1 ) dy . E. / 2x(9-y)(4- V32+ 7) dy Consider the blue horizontal line shown above (click on graph for better view) connecting the graphs x = f(y) = sin(2y) and . F. 2x ()- 9)(4 - V32 + 7 ) dy x = g(y) = cos(ly). Referring to this blue line, match the statements below about ro- tating this line with the corresponding statements about the result Answer(s) submitted: obtained. (incorrect) -1. The result of rotating the line about the x-axis is 2. The result of rotating the line about the y-axis is Problem 8. (1 point) 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 = it is Which of the following integrals represents the volume of the solid 6. The result of rotating the line about the line y = -2 is obtained by rotating the region bounded by the curves y = x and -7. The result of rotating the line about the line y = 7 y = 4x - x2 about the line x = 7? 8. The result of rotating the line about the line y = -it A. a cylinder of radius y and height cos(ly) - sin(2y) B. an annulus with inner radius 2 + sin(2y) and outer radius . A. 27 ( x - 7) [(4x - 17 ) - x ] dx 2 + cos(ly) C. a cylinder of radius it + y and height cos(ly) - sin(2y) . B. 2x(7 -x) [x - (4x -13 ) ] dx D. a cylinder of radius 1 - y and height cos(ly) - sin(2y) E. a cylinder of radius 2 + y and height cos(ly) - sin(2y) . C. 2x (7 -x) [(4x -x2 ) -x] dx F. a cylinder of radius it - y and height cos( ly) - sin(2y) G. an annulus with inner radius it - cos(ly) and outer radius . D. 27: (7 - x ) [(4x -12 ) -x] dx it - sin(2y) is . E. 2n(7 -x) [x - (4x -x2 ) ] dx H. an annulus with inner radius sin(2y) and outer radius cos(ly) . F. "27 (x - 7) [(4x - x2 ) -x] dx Answer(s) submitted: Answer(s) submitted: . . (incorrect)