In three dimensions the equation 22 +y? = 1 represents a |. Similarly, the equation y? + 22 = 1 represents another cylinder. These cylinders have infinite and intersect at right angle. The set of all points that lie on or inside both cylinders is given in Figure | The set of all such points can be characterized by the equations 22 + y? <1 and The intersections of four and three cylinders are given in Figure and Figure respectively. We can open the intersection as shown in Figure . Each of the curves of the intersection of two cylinders is an Figure a Figure b Figure c Figure d ellipse pyramid sphere cylinder square d b height

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 44E: By definition, a hyperbola is the locus of points whose positive difference of distances from two...
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In three dimensions the equation
2² +y? = 1
represents
. Similarly, the equation
y? + 22 = 1
represents another cylinder. These cylinders have infinite
and intersect at right angle.
The set of all points that lie on or inside both cylinders is given in Figure
The set of all such points can be characterized by the equations
22 + y? <1
and
y? < z< V1- y.
The intersections of four and three cylinders are given in Figure
and Figure
, respectively. We can open the intersection as shown in
Figure
. Each of the curves of the intersection of two cylinders is an
Figure a
Figure b
Figure c
Figure d
d
ellipse
|ругamid
b
height
sphere
cylinder
a
square
Transcribed Image Text:In three dimensions the equation 2² +y? = 1 represents . Similarly, the equation y? + 22 = 1 represents another cylinder. These cylinders have infinite and intersect at right angle. The set of all points that lie on or inside both cylinders is given in Figure The set of all such points can be characterized by the equations 22 + y? <1 and y? < z< V1- y. The intersections of four and three cylinders are given in Figure and Figure , respectively. We can open the intersection as shown in Figure . Each of the curves of the intersection of two cylinders is an Figure a Figure b Figure c Figure d d ellipse |ругamid b height sphere cylinder a square
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