Describe the surface in R3 represented by the equation x + y = 4. This is the set {(x, 4- x, z) |x E R, ZE R} which is a vertical plane that intersects the xz-plane in the line y = 4 - x, z = 0. O This is the set {(x, 4 - x, z) |x E R, ZE R} which is a vertical plane that intersects the xy-plane in the line y = 4 - X, Z = 0. O This is the set {(x, 4 - x, z) |x E R, z E R} which is a horizontal plane that intersects the xy-plane in the line y = 4 - X, z = 0. O This is the set {(x, y, 4 - x - y) lx ER, y E R} which is a vertical plane that intersects the xy-plane in the line y = 4 - x, z = 0. O This is the set {(x, 4 - x, z) |x ER, ZE R} which is a horizontal plane that intersects the xz-plane in the line y = 4 - x, z = 0. Sketch the surface.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Sketch the surface
Describe the surface in R³ represented by the equation x + y = 4.
This is the set {(x, 4- x, z) |x E R, ZE R} which is a vertical plane that intersects the xz-plane in the line y = 4 - x, z = 0.
O This is the set {(x, 4 - x, z)|x E R, ZE R} which is a vertical plane that intersects the xy-plane in the line y = 4 - x, z = 0.
O This is the set {(x, 4 - x, z)|x E R, z E R} which is a horizontal plane that intersects the xy-plane in the line y = 4 - x, z = 0.
4
O This is the set {(x, y, 4 - x - y)|x E R, y E R} which is a vertical plane that intersects the xy-plane in the line y = 4 - x, z = 0.
O This is the set {(x, 4 - x, z)|x E R, ZE R} which is a horizontal plane that intersects the xz-plane in the line y = 4 - x, z = 0.
Sketch the surface.
Transcribed Image Text:Describe the surface in R³ represented by the equation x + y = 4. This is the set {(x, 4- x, z) |x E R, ZE R} which is a vertical plane that intersects the xz-plane in the line y = 4 - x, z = 0. O This is the set {(x, 4 - x, z)|x E R, ZE R} which is a vertical plane that intersects the xy-plane in the line y = 4 - x, z = 0. O This is the set {(x, 4 - x, z)|x E R, z E R} which is a horizontal plane that intersects the xy-plane in the line y = 4 - x, z = 0. 4 O This is the set {(x, y, 4 - x - y)|x E R, y E R} which is a vertical plane that intersects the xy-plane in the line y = 4 - x, z = 0. O This is the set {(x, 4 - x, z)|x E R, ZE R} which is a horizontal plane that intersects the xz-plane in the line y = 4 - x, z = 0. Sketch the surface.
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