Question Help ▼13.6.54Identify the surface defined by the following equation.x? +y? + 3z2 + 14x = - 48Select the correct choice below and fill in the answer boxes to complete your choice.O A. The surface defined by the equation is an elliptic cone centered at ( ) and whose traces in the xy-plane are ellipses.) that has lengthin the x-direction,in the y-direction, andin theO B. The surface defined by the equation is an ellipsoid..centered at (z-direction.OC. The surface defined by the equation is a hyperboloid of two sheets centered at ( and whose traces in the xy-plane are ellipses. The shortestdistance between the two sheets isO D. The surface defined by the equation is a hyperboloid of one sheet centered at ( ) and is centered around the z-axis. In the xy-plane, the trace haslengthin the x-direction and lengthin the y-direction.

The general equation of standard surfaces is given by: Cone: z2c2=x2a2+y2b2 Ellipsoid:…

Identify the surface defined by the following equation. x2 +y? + 3z? + 14x= - 48 Select the correct choice below and fill in the answer boxes to complete your choice. O A. The surface defined by the equation is an elliptic cone centered at and whose traces in the xy-plane are ellipses. in the x-direction, in the y-direction, and in the O B. The surface defined by the equation is an ellipsoid.centered at ( ) that has length z-direction. I ) and whose traces in the xy-plane are ellipses. The shortest O C. The surface defined by the equation is a hyperboloid of two sheets centered at distance between the two sheets is O D. The surface defined by the equation is a hyperboloid of one sheet centered at ( D and is centered around the z-axis. In the xy-plane, the trace has length in the x-direction and length in the y-direction.

Identify the surface defined by the following equation. x2 +y? + 3z? + 14x= - 48 Select the correct choice below and fill in the answer boxes to complete your choice. O A. The surface defined by the equation is an elliptic cone centered at and whose traces in the xy-plane are ellipses. in the x-direction, in the y-direction, and in the O B. The surface defined by the equation is an ellipsoid.centered at ( ) that has length z-direction. I ) and whose traces in the xy-plane are ellipses. The shortest O C. The surface defined by the equation is a hyperboloid of two sheets centered at distance between the two sheets is O D. The surface defined by the equation is a hyperboloid of one sheet centered at ( D and is centered around the z-axis. In the xy-plane, the trace has length in the x-direction and length in the y-direction.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

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