= 3x² (i) z= (ii) 9 = x² + y2 Use your graphs to fill in the following descriptions of cross-sections of the surfaces. (a) For (i) (z = 3x²): Cross sections with x fixed give ?

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
Section10.1: The Rectangular Coordinate System
Problem 51E
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Problem 4.
On a piece of paper, sketch each of the following surfaces:
(1) z = 3x²
(ii) 9 = x² + y²
Use your graphs to fill in the following descriptions of cross-sections of the surfaces.
(a) For (i) (z = 3x²):
Cross sections with x fixed give ?
?
Cross sections with y fixed give
Cross sections with z fixed give ?
(b) For (ii) (9 = x² + y²):
Cross sections with x fixed give
?
Cross sections with y fixed give
?
Cross sections with z fixed give ?
+
+
+
+
+
+
Transcribed Image Text:Problem 4. On a piece of paper, sketch each of the following surfaces: (1) z = 3x² (ii) 9 = x² + y² Use your graphs to fill in the following descriptions of cross-sections of the surfaces. (a) For (i) (z = 3x²): Cross sections with x fixed give ? ? Cross sections with y fixed give Cross sections with z fixed give ? (b) For (ii) (9 = x² + y²): Cross sections with x fixed give ? Cross sections with y fixed give ? Cross sections with z fixed give ? + + + + + +
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