Given z=44−27x2 is a curve in the xz-plane. If the equation of the surface generated by revolving the curve about the z-axis is a1x2+a2y2+a3z2+a4x+a5y+z+a6=0, *The picture* (Notice that you have to write the surface equation where the coefficient of z is one.)

Given z=44−27x2 is a curve in the xz-plane. If the equation of the surface generated by revolving the curve about the z-axis is a1x2+a2y2+a3z2+a4x+a5y+z+a6=0, The picture (Notice that you have to write the surface equation where the coefficient of z is one.)

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter87: An Introduction To G- And M-codes For Cnc Programming

Section: Chapter Questions

Problem 9A

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Question

Given

z=44−27x²

is a curve in the xz-plane. If the equation of the surface generated by revolving the curve about the z-axis is

a₁x²+a₂y²+a₃z²+a₄x+a₅y+z+a₆=0,

*The picture*

(Notice that you have to write the surface equation where the coefficient of

z is one.)

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