By setting one variable constant, find a plane that intersects the graph of z = 3y² – 6x? + 4 in a: (a) Parabola opening upward: the plane (Give your answer by specifying the variable in the first answer blank and a value for it in the second.) (b) Parabola opening downward: the plane (Give your answer by specifying the variable in the first answer blank and a value for it in the second.) (c) Pair of intersecting straight lines: the plane (Give your answer by specifying the variable in the first answer blank and a value for it in the second.)

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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By setting one variable constant, find a plane that intersects the graph of z =
3y2 – 6x2 + 4 in a:
(a) Parabola opening upward: the plane
(Give your answer by specifying the variable in the first answer blank and a value for it in the second.)
(b) Parabola opening downward: the plane
(Give your answer by specifying the variable in the first answer blank and a value for it in the second.)
(c) Pair of intersecting straight lines: the plane
(Give your answer by specifying the variable in the first answer blank and a value for it in the second.)
Transcribed Image Text:By setting one variable constant, find a plane that intersects the graph of z = 3y2 – 6x2 + 4 in a: (a) Parabola opening upward: the plane (Give your answer by specifying the variable in the first answer blank and a value for it in the second.) (b) Parabola opening downward: the plane (Give your answer by specifying the variable in the first answer blank and a value for it in the second.) (c) Pair of intersecting straight lines: the plane (Give your answer by specifying the variable in the first answer blank and a value for it in the second.)
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