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3. Rewrite each equation below in standard form of a quadric surface and then roughly sketch the sur- face. The sketch should be oriented correctly with the axes, the geometric centre shoukd be given, and the dimensions should be given where appropriate. i) 6 -+ 2y – 4y – 4: =0 (ii) 42 + 16r + y² – 4y + 4z² – 24: = -52

3. Rewrite each equation below in standard form of a quadric surface and then roughly sketch the sur- face. The sketch should be oriented correctly with the axes, the geometric centre shoukd be given, and the dimensions should be given where appropriate. i) 6 -+ 2y – 4y – 4: =0 (ii) 42 + 16r + y² – 4y + 4z² – 24: = -52

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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3. Rewrite each equation below in standard form of a quadric surface and then roughly sketch the sur- face. The sketch should be oriented correctly with the axes, the geometric centre should be given, and the dimensions should be given where appropriate. i) 6-+ 2y - 4y – 4: = 0 (ii) 4z? + 16r + y? – 4y + 4:² – 24: = -52
Transcribed Image Text:3. Rewrite each equation below in standard form of a quadric surface and then roughly sketch the sur- face. The sketch should be oriented correctly with the axes, the geometric centre should be given, and the dimensions should be given where appropriate. i) 6-+ 2y - 4y – 4: = 0 (ii) 4z? + 16r + y? – 4y + 4:² – 24: = -52
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