Please show work for each problem so I can study, thank you!

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis. 1) 1) y = ~x, y = 0, x = 0, x=9 A) 9n B) 27T C) -2 T D) 7 7 2) y = Vsin 5x, y = 0, 0 sxs 2) A) 5n B) 10n C) - n D) 27 3) y = x2, y = 16, x = 0 4096 3) A) - B) 1024 - n C) 6144 5 D) - 128 3 4) y = Xy =- X+9 4) A) 5671 343 B) -n C) 343 3 7 D) 243 T lines about the y-axis. Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and 5) y = 3x, y = 6x, X =3 243 5) A) - B) 1871 C) 54n D) 27n Find the length of the curve. 6) y = 3x3/2 from x = 0 to x = olu 6) A) 1 335 B) 162 C) 335 335 3 D) 243 7 ) y = 30 (x4/3 - 2x2/3) from x = 1 to x = 8 7) A ) ? B) 81 C) 23 D) -2 Set up an integral for the area of the surface generated by revolving the given curve about the indicated axis. 8) y = cotx, 0 = x 5 7/4; x-axis 8 ) It/ 4 cotx V1 + csc4x dx 71 / 4 B) 2TL cotx V1 + csc4x dx 0 TO/4 C) 2 TTS csex V1 + cotx dx D) - 71 / 4 cscx V1 + cotx dx 9 ) y= x3, Osxs2; x-axis 9 ) A) nt x3N1+ 9x4 dx B) 27 x3\\1+ 9x4 dx 0 C) 27 x 2 N1 +9x4 dx D) T x 21 1 + 9x 4 dx Use your grapher to find the surface's area numerically. 10) y = sinx, 0