Consider the equation below. x2 + 9y – 9z? = 0 Reduce the equation to one of the standard forms. Classify the surface. O ellipsoid O elliptic paraboloid hyperbolic paraboloid cone O hyperboloid of one sheet O hyperboloid of two sheets Sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) (Write an equation for the cross section at z = -2 using x and y.) (Write an equation for the cross section at z = 0 using x and y.) (Write an equation for the cross section at z = 2 using x and y.) (Write an equation for the cross section at y = 0 using x and z.) (Write an equation for the cross section at x = -2 using y and z.) (Write an equation for the cross section at x = 0 using y and z.) (Write an equation for the cross section at x = 2 using y and z.) Student Response Response Description Update Graph Enter appropriate valugs in the answer blank(s) and click "Update Graph." 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 24E
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Consider the equation below.
x? + 9y – 9z? = 0
Reduce the equation to one of the standard forms.
Classify the surface.
O ellipsoid
elliptic paraboloid
O hyperbolic paraboloid
O cone
O hyperboloid of one sheet
O hyperboloid of two sheets
Sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to see your response plotted on the screen.
Select the Submit button to grade your response.)
(Write an equation for the cross section at z = -2 using x and y.)
(Write an equation for the cross section at z = 0 using x and y.)
(Write an equation for the cross section at z = 2 using x and y.)
(Write an equation for the cross section at y = 0 using x and z.)
(Write an equation for the cross section at x = -2 using y and z.)
(Write an equation for the cross section at x
O using y and z.)
(Write an equation for the cross section at x = 2 using y and z.)
Student Response
Response Description
Update
Graph
Enter appropriate values in the answer blank(s)
and click "Update Graph."
4.
Transcribed Image Text:Consider the equation below. x? + 9y – 9z? = 0 Reduce the equation to one of the standard forms. Classify the surface. O ellipsoid elliptic paraboloid O hyperbolic paraboloid O cone O hyperboloid of one sheet O hyperboloid of two sheets Sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) (Write an equation for the cross section at z = -2 using x and y.) (Write an equation for the cross section at z = 0 using x and y.) (Write an equation for the cross section at z = 2 using x and y.) (Write an equation for the cross section at y = 0 using x and z.) (Write an equation for the cross section at x = -2 using y and z.) (Write an equation for the cross section at x O using y and z.) (Write an equation for the cross section at x = 2 using y and z.) Student Response Response Description Update Graph Enter appropriate values in the answer blank(s) and click "Update Graph." 4.
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