Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to see your response plotted on the screen 5x²- y² + 3z² = 0 (Write an equation for the cross section at z = 0 using x and y.) (Write an equation for the cross section at y = -5 using x and z.) (Write an equation for the cross section at y = 5 using x and z.) (Write an equation for the cross section at x = 0 using y and z.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Identify the surface.
O hyperboloid of one sheet
O hyperboloid of two sheets
O ellipsoid
O elliptic cone
O elliptic paraboloid
O parabolic cylinder
O elliptic cylinder
O hyperbolic paraboloid
Transcribed Image Text:Identify the surface. O hyperboloid of one sheet O hyperboloid of two sheets O ellipsoid O elliptic cone O elliptic paraboloid O parabolic cylinder O elliptic cylinder O hyperbolic paraboloid
Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to see your response plotted on the screen.
5x² - y² + 3z² = 0
(Write an equation for the cross section at z = 0 using x and y.)
(Write an equation for the cross section at y = -5 using x and z.)
(Write an equation for the cross section at y = 5 using x and z.)
(Write an equation for the cross section at x = 0 using y and z.)
Transcribed Image Text:Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to see your response plotted on the screen. 5x² - y² + 3z² = 0 (Write an equation for the cross section at z = 0 using x and y.) (Write an equation for the cross section at y = -5 using x and z.) (Write an equation for the cross section at y = 5 using x and z.) (Write an equation for the cross section at x = 0 using y and z.)
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