Match each function with the description of its f(x, y, z) = 0 level surface. e f(x, y, z) = -2² - y² – 2z² -e f(x, y, z) = x - 2² - y² -e f(x, y, z) = -x² + x² - y f(x, y, z) = x² + 2² a. saddle b. paraboloid (bullet shape) c. line (cylinder with 0 radius) d. single point
Match each function with the description of its f(x, y, z) = 0 level surface. e f(x, y, z) = -2² - y² – 2z² -e f(x, y, z) = x - 2² - y² -e f(x, y, z) = -x² + x² - y f(x, y, z) = x² + 2² a. saddle b. paraboloid (bullet shape) c. line (cylinder with 0 radius) d. single point
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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Transcribed Image Text:Match each function with the description of its f(x, y, z) = 0 level surface.
- e f(x, y, z) = -x² - y² - 22²
2
e f(x, y, z) = x - 2² - 3²
-e f(x, y, z) = -2² +2²-y
- f(x, y, z) = x² + x²
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a. saddle
b. paraboloid (bullet shape)
c. line (cylinder with 0 radius)
d. single point
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