= 6x² - 3y² + 1 in a: By setting one variable constant, find a plane that intersects the graph of z = (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.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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By setting one variable constant, find a plane that intersects the graph of z = 6x² − 3y² + 1 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 = 6x² − 3y² + 1 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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