On a piece of paper, sketch each of the following surfaces: (i) 1 = x² + y² (ii) z = 1- (x² + y²) Use your graphs to fill in the following descriptions of cross-sections of the surfaces. (a) For (i) (1 = x² + y²): Cross sections with a fixed give? Cross sections with y fixed give ? Cross sections with z fixed give? (b) For (ii) (z 1- (x² + y²)): Cross sections with a fixed give ? Cross sections with y fixed give ? Cross sections with z fixed give ?
On a piece of paper, sketch each of the following surfaces: (i) 1 = x² + y² (ii) z = 1- (x² + y²) Use your graphs to fill in the following descriptions of cross-sections of the surfaces. (a) For (i) (1 = x² + y²): Cross sections with a fixed give? Cross sections with y fixed give ? Cross sections with z fixed give? (b) For (ii) (z 1- (x² + y²)): Cross sections with a fixed give ? Cross sections with y fixed give ? Cross sections with z 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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
The choices for the second set of drop down boxes are:
a horizontal line in a plane parallel to the yz-plane
an empty set, or one or two vertical lines-in a plane parallel to the yz-plane
a vertical line in a plane parallel to the yz-plane
two vertical lines in a plane parallel to the yz-plane
a line in a plane parallel to the yz-plane
an upward opening parabola in a plane parallel to the yz-plane
a downward opening parabola in plane parallel to the yz-plane
a
a point in a plane parallel to the yz-plane
an empty set, or a circle centered on the origin in a plane parallel to the yz-plane
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