By setting one variable constant, find a plane that intersects the graph of z = 3y² – 9x² + 5 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.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.1: The Circle And The Parabola
Problem 87E
Question

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Problem 3.
By setting one variable constant, find a plane that intersects the graph of z = 3y² - 9x² + 5 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:Problem 3. By setting one variable constant, find a plane that intersects the graph of z = 3y² - 9x² + 5 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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