# Which of the following integrals represents the

• 4
• 100% (5) 5 out of 5 people found this document helpful

This preview shows page 2 - 4 out of 4 pages.

7.(1 point)Which of the following integrals represents the volume ofthe solid obtained by rotating the region bounded by the curvesx2-y2=7 andx=4 about the liney=9?Z32π(9-y)(4-py2+7)dyA.-3B.Z472π(9-y)(4-py2+7)dyZ32π(y+9)py2+7dy
C.
-3
D.Z472π(y-9)(4-py2+7)dyE.Z3-32π(y-9)(4-py2+7)dyF.Z472π(y+9)py2+7dy2
Answer(s) submitted:A(correct)(1 point)Which of the following integrals represents the volume ofthe solid obtained by rotating the region bounded by the curvesx=psin(y),0y2π,andx=0 about the liney=12?
8.(1 point)Which of the following integrals represents the volume ofthe solid obtained by rotating the region bounded by the curvesy=xandy=4x-x2about the linex=6?C.Zπ02π(y+12)psin(y)dyD.Zπ02π(12-y)psin(y)dyE.Z102π(12-y)psin(y)dyF.Z102π(y-12)psin(y)dyAnswer(s) submitted:D(correct)Correct Answers:D
0Answer(s) submitted:(1 point)Which of the following integrals represents the volume ofthe solid obtained by rotating the region bounded by the curvesy=ln(x),y=0,andx=8 about they-axis?
Which of the following integrals represents the volume ofthe solid obtained by rotating the region bounded by the curvesy=1/(1+x2),y=0,x=0,andx=9 about the linex=9?A.Z902π(x-9)91+x2dxB.Z902π(9+x)11+x2dxC.Z902π(x-9)11+x2dxD.Z902π(9-x)91+x2dxE.Z902π(9+x)91+x2dxF.Z92π(9-x)11+x2dx
0
• • • 