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Explain how a) x² + y? - z? = 0 you can quickly distinguish between the cone, hyperboloid, “saddle", and paraboloid. c) z=x² – y? b) z? = x? + y? + 1 d) z = -2x? - 2y²

Explain how a) x² + y? - z? = 0 you can quickly distinguish between the cone, hyperboloid, “saddle", and paraboloid. c) z=x² – y? b) z? = x? + y? + 1 d) z = -2x? - 2y²

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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1) Explain how you can quickly distinguish between the cone, hyperboloid, “saddle", and paraboloid. b) z?= x2+ y? +1 c) z=x² – y? a) x2 + y? - z? = 0 d) z = -2x? - 2y? | 15 0.5- -1H 10 -3- -0.5- -5 -0.5 0.5 0.5 -0.5 0.5 0.5 1) 2) 3) 4) -2
Transcribed Image Text:1) Explain how you can quickly distinguish between the cone, hyperboloid, “saddle", and paraboloid. b) z?= x2+ y? +1 c) z=x² – y? a) x2 + y? - z? = 0 d) z = -2x? - 2y? | 15 0.5- -1H 10 -3- -0.5- -5 -0.5 0.5 0.5 -0.5 0.5 0.5 1) 2) 3) 4) -2
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