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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.

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
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.

steps

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