(Steps Shown) Write the equation for the surface generated by revolving the curve \mathrmx^2-2 \mathrmy^2=1 about the y -axis. Then describe the
Question: Write the equation for the surface generated by revolving the curve \(\mathrm{x}^{2}-2 \mathrm{y}^{2}=1\) about the \(\mathrm{y}\) -axis. Then describe the surface.
Deliverable: Word Document 
![[Steps Shown] The parabola z=y^2, x=0 is](/images/solutions/MC-solution-library-35400.jpg "[Steps Shown] The parabola z=y^2, x=0 is rotated around the z -axis.")
[Steps Shown] The parabola z=y^2, x=0 is rotated around the z -axis.
![[Step-by-Step] State the largest possible domain of](/images/solutions/MC-solution-library-35401.jpg "[Step-by-Step] State the largest possible domain of definition")
[Step-by-Step] State the largest possible domain of definition
(See Steps) Find the limit or state that it does not exist. lim
![[Step-by-Step] Solve the initial value problem (d](/images/solutions/MC-solution-library-35403.jpg "[Step-by-Step] Solve the initial value problem (d y)/(d x)=y^3,")
[Step-by-Step] Solve the initial value problem (d y)/(d x)=y^3,
(See Steps) Find the equation of the plane tangent to z=- sin
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