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Consider the blue vertical line shown above (click on graph for better View) connecting the graphs 3; = g(:c) = sin(:c) and y = x)

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Consider the blue vertical line shown above (click on graph for better View) connecting the graphs 3; = g(:c) = sin(:c) and y = x) = cos(4z). Referring to this blue line, match the statements below about rotating this line with the corresponding statements about the result obtained. 1. The result oi rotating the line about the xaxis is .The result of rotating the line about the y-axls is . The result of rotating the line about the line y 2 1 is I ' . The result of rotating the line about the line x = 2 Is . The result of rotating the line about the line 1: = 7r is . The result of rotating the line about the line y = 2 is . The result of rotating the line about the line 3; = 7r is . The result of. rotating the line about the line y : ar is A. a cylinder of radius a: and height cos(4m) sin(a:) B. an annulus with inner radius 71' + sin(x) and outer radius 1r + cos(4x) c. an annulus with inner radius 7r cos(4a:) and outer radius 1r sin(z) D. an annulus with inner radius 1 cos(4:c) and outer radius 1 sin(a:) E. a cylinder of radius :1: + 2 and height cos(4m) e sin(z) F. an annulus with inner radius 2 + sin(z) and outer radius 2 + cos(4a:) (3. an annulus with inner radius 5111(2) and outer radius cos(4m) H. a cylinder of radius arr :r: and height cos(4:z:) sin(w)

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