the surface defined by the following equation.x² + y² +6z² + 10x = -24IdentifySelect the correct choice below and fill in the answer boxes to complete your choice.A. 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 has lengthB. The surface defined by the equation is an ellipsoid centered atthat has length in the x-direction, in the y-direction, and in the z-direction.C. The surface defined by the equation is an elliptic cone centered at (..) and whose traces in the xy-plane are ellipses.D. The surface defined by the equation is a hyperboloid of two sheets centered at ..in the x-direction and lengthand whose traces in the xy-plane are ellipses. The shortest distance between the two sheets isin the y-direction. Find the length of the cardioid r=4-4 cos 0.The length of the cardioid is

the surface defined by the following equation. x² + y² +6z²+10x= -24 Identify Select the correct choice below and fill in the answer boxes to complete your choice. OA. The surface defined by the equation is a hyperboloid of one sheet centered at OB. The surface defined by the equation is an ellipsoid centered at (.. OC. The surface defined by the equation is an elliptic cone centered at OD. The surface defined by the equation is a hyperboloid of two sheets centered at and is centered around the z-axis. In the xy-plane, the trace has length in the x-direction and length in the x-direction, in the y-direction, and in the z-direction. that has length and whose traces in the xy-plane are ellipses. and whose traces in the xy-plane are ellipses. The shortest distance between the two sheets is in the y-direction.

the surface defined by the following equation. x² + y² +6z²+10x= -24 Identify Select the correct choice below and fill in the answer boxes to complete your choice. OA. The surface defined by the equation is a hyperboloid of one sheet centered at OB. The surface defined by the equation is an ellipsoid centered at (.. OC. The surface defined by the equation is an elliptic cone centered at OD. The surface defined by the equation is a hyperboloid of two sheets centered at and is centered around the z-axis. In the xy-plane, the trace has length in the x-direction and length in the x-direction, in the y-direction, and in the z-direction. that has length and whose traces in the xy-plane are ellipses. and whose traces in the xy-plane are ellipses. The shortest distance between the two sheets is in the y-direction.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.2: Ellipses

Problem 34E

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Question

the surface defined by the following equation.
x² + y² +6z² + 10x = -24
Identify
Select the correct choice below and fill in the answer boxes to complete your choice.
A. 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 has length
B. The surface defined by the equation is an ellipsoid centered at
that has length in the x-direction, in the y-direction, and in the z-direction.
C. The surface defined by the equation is an elliptic cone centered at (..) and whose traces in the xy-plane are ellipses.
D. The surface defined by the equation is a hyperboloid of two sheets centered at ..
in the x-direction and length
and whose traces in the xy-plane are ellipses. The shortest distance between the two sheets is
in the y-direction.

Find the length of the cardioid r=4-4 cos 0.
The length of the cardioid is

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