Sketch a contour map with at least four level curves for the following surfaces: a. z = x² + 4y² + 3 b. 2z+ y² = x c. 3y - 2x + z² = 1

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Sketch a contour map with at least four level curves for the following surfaces:
a. z = x² + 4y² + 3
b. 2z+ y² = x
c. 3y - 2x + z² = 1
Transcribed Image Text:Sketch a contour map with at least four level curves for the following surfaces: a. z = x² + 4y² + 3 b. 2z+ y² = x c. 3y - 2x + z² = 1
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