Question

Lot be the curvexy-91.forasts, where and are continuous on (a, bj and does not intersect itself, except possibly at its endpoints. It is nonegative on (a, b), the area of the surface obtained b by revolving about the x-axis is S. 290.0*o'w dt. Likewise, Ifis nonnegative on 10, b), then the area of the surface obtained by revolving about the yaxis is S2x1000-g'mat Consider the curvex 3008 (1), y3sin (+4 on Osts 2. Complete parts (a) and (b) below. Describe the curve. Select the correct choice below and it in the answer box(en) to complete your choice (Simplify your answers.) O Motion of horizontal radius and vertical radius centered OB. Asphere of radius centered at OC Acircle of radius centered at 20 OD A line that rises from left to right with a yintercept of b. I ne curve is woved about the x arts, describe the shape of the world of revolution and Ind the area of the surface. Start by describing the wolved 404 20 An eliptical orus (doughnut) g Ande 20 om 20 pm O A cylinder Asphere An elipse O Alor ( dut /20 pm The area of the surface is (Type an exact answer in terms of

Answer 1

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3 st yo4 = 3 sint xt Cyry) cyny,² arcle of radics 13 13 on lo option center 10, 4); opti | Atosus S- / 27 27 (3 sint ty) Jastin't tacus 't de df 67 s sint 44). 6X (4127)) = 484 1 2 2 48 Area