B) Determine the parametrizations of the untrimmed surfaces S1, S2 and S3 without constraints(free) (for example S1 has equation 2x-4y + z =- 4 so two parameters defined between constant values are chosen and the third variable is cleared). Cropped by Cartesian planes.

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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4 B) Answer the question shown in the image 

Consider the solid bounded by surfaces S1, S2, S3, S4, S5, and S6 with vertices
A, B, C, D, E and O, as shown in the following figure
z IS3:x2 = 16 – 4z
D S=ƏQ
S4: x = 0
S5: y = 0
S6: z = 0
$2: 2y = 6 – x
• O(0.0.0) is the origin and is hidden
в
S1:2x – 4y + z =4
|
B) Determine the parametrizations of the untrimmed surfaces S1, S2 and S3
without constraints(free) (for example S1 has equation 2x-4y + z = 4 so two
parameters defined between constant values are chosen and the third
variable is cleared). Cropped by Cartesian planes.
Transcribed Image Text:Consider the solid bounded by surfaces S1, S2, S3, S4, S5, and S6 with vertices A, B, C, D, E and O, as shown in the following figure z IS3:x2 = 16 – 4z D S=ƏQ S4: x = 0 S5: y = 0 S6: z = 0 $2: 2y = 6 – x • O(0.0.0) is the origin and is hidden в S1:2x – 4y + z =4 | B) Determine the parametrizations of the untrimmed surfaces S1, S2 and S3 without constraints(free) (for example S1 has equation 2x-4y + z = 4 so two parameters defined between constant values are chosen and the third variable is cleared). Cropped by Cartesian planes.
Example: Surface xtz=4 cropped by cartesian planes
Transcribed Image Text:Example: Surface xtz=4 cropped by cartesian planes
Expert Solution
Step 1

Given:

Surfaces

  1. S1: 2x-4y+z=4
  2. S2: 2y=6-x
  3. S3: x2=16-4z

To find:

Parametrization of the surfaces S1, S2, and S3.

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