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Consider the following equation of a quadric surface. 4x2 + 4y2 + 9z2 = 36 a. Find the intercepts with the three coordinate axes, if they exist. b. Find the equations of the xy-, xz-, and yz-traces, if they exist. c. Sketch a graph of the surface. OC. There is no xz-trace. Find the equation of the yz-trace, if it exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 'A. The trace is not a single point. The equation of the yz-trace is 4v + 9z = 36 (Type an equation.) O B. The trace is the single point ( ) OC. There is no yz-trace. c. Choose the correct graph below. O A. OB. Oc.

Consider the following equation of a quadric surface. 4x2 + 4y2 + 9z2 = 36 a. Find the intercepts with the three coordinate axes, if they exist. b. Find the equations of the xy-, xz-, and yz-traces, if they exist. c. Sketch a graph of the surface. OC. There is no xz-trace. Find the equation of the yz-trace, if it exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 'A. The trace is not a single point. The equation of the yz-trace is 4v + 9z = 36 (Type an equation.) O B. The trace is the single point ( ) OC. There is no yz-trace. c. Choose the correct graph below. O A. OB. Oc.

Elementary Geometry For College Students, 7e
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
Section10.1: The Rectangular Coordinate System
Problem 43E: By definition, an ellipse is the locus of points whose sum of distances from two fixed points F1 and...
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Consider the following equation of a quadric surface. 4x2 + 4y? + 9z2 = 36 a. Find the intercepts with the three coordinate axes, if they exist. b. Find the equations of the xy-, xz-, and yz-traces, if they exist. c. Sketch a graph of the surface. There is no xz-trace. Find the equation of the yz-trace, if it exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. А. The trace is not a single point. The equation of the yz-trace is 4y + 9z = 36. (Type an equation.) O B. The trace is the single point ( C. There is no yz-trace. c. Choose the correct graph below. А. В. Oc. 3 Click to select your answer and then click Check Answer. B.
Transcribed Image Text:Consider the following equation of a quadric surface. 4x2 + 4y? + 9z2 = 36 a. Find the intercepts with the three coordinate axes, if they exist. b. Find the equations of the xy-, xz-, and yz-traces, if they exist. c. Sketch a graph of the surface. There is no xz-trace. Find the equation of the yz-trace, if it exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. А. The trace is not a single point. The equation of the yz-trace is 4y + 9z = 36. (Type an equation.) O B. The trace is the single point ( C. There is no yz-trace. c. Choose the correct graph below. А. В. Oc. 3 Click to select your answer and then click Check Answer. B.
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