For the two surfaces in R3 given below: (a) Find the traces in x = 0, y = 0, z = 0. Identify the name of each trace. (b) Find the intercepts with the coordinate axes x, y, and z. (d) Sketch (by hand) each surface on the x, y, z-coordinate system similar to the one give below. You may need to adjust the scaling on each axis. Surface 1: +-1 16 +=1 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For the two surfaces in R3 given below:
(a) Find the traces in a = 0, y= 0, z= 0. Identify the name of each trace.
%3D
(b) Find the intercepts with the coordinate axes x, y, and z.
(d) Sketch (by hand) each surface on the x, y, z-coordinate system similar to the one give below.
You may need to adjust the scaling on each axis.
Surface 1:
16 + = 1
4
Surface 2:
x2
%3D
4
10 z-axis
X-ахis
-10
-10
-5
5
у-аxis
10
10
-5
-10
5
Transcribed Image Text:For the two surfaces in R3 given below: (a) Find the traces in a = 0, y= 0, z= 0. Identify the name of each trace. %3D (b) Find the intercepts with the coordinate axes x, y, and z. (d) Sketch (by hand) each surface on the x, y, z-coordinate system similar to the one give below. You may need to adjust the scaling on each axis. Surface 1: 16 + = 1 4 Surface 2: x2 %3D 4 10 z-axis X-ахis -10 -10 -5 5 у-аxis 10 10 -5 -10 5
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