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PI'OIJIBITI #5: Find an integral which represents the volume of the solid obtained by rotating the region enclosed by the curves y =13 and y = 4x + i"? about thex-axis. 11 7 11 (A) I_ll1:(x3 4x m? 1:: (B) :(4: + 7? 1?)? (ix (C) L 1: [(41: + m2 1:4]:1: :1" \"1' 1" 11 (13)]. 1:(4x+??:3)2:t: an}! :[(4x+??312 41:15: (BI :(x34xT?)3:ix -11 -11 -? "1' 11 (G) I 1: [1:9I (41: + ml] :15: (II) I 1: [x4 {41: + m3] :1: -11 -'." Problem #6: Find an integral which represents the volume of the solid obtained by rotating the region enclosed by the curves y= x and y = 4x about the line x = 4. - 16 (A) T[(4-4) - (4 - Vy)]d (B) .[(4- Vy)2- (4-4] ]d ( 0) | * [(4+1)2 - (4+ Vy) -] dy o -16 - 16 (D) n(4+1)-(4+7)](E) It [(4 + Vy )2 - (4+4] ]d (F) .[( 4+Vy)-(4+1)-]dy o o - 16 (G) [(4-2)2 - (4- Vv)2]dy (H It [(4 - Vv )2 - (4-4)2] dy oProblem #7: A chain lying on the ground is 16 ft long and weighs 100 1bs. How much work is required to raise one end of the chain to a height of 2ft? Enter your answer Problem #7: symbolically, as in these examples