By setting one variable constant, find a plane that intersects the graph of z = -49x² + y² + 1 in each of the followings: a) Parabola opening upward: The intersecting plane is The equation of the intersecting curve is b) Parabola opening downward: The intersecting plane is The equation of the intersecting curve is c) Pair of intersecting straight lines: The intersecting plane is Equations of intersecting lines y =

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 22CT
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By setting one variable constant, find a plane that intersects the graph of z =
followings:
a) Parabola opening upward: The intersecting plane is
-49x2+1 in each of the
The equation of the intersecting curve is
b) Parabola opening downward: The intersecting plane is
The equation of the intersecting curve is
c) Pair of intersecting straight lines: The intersecting plane is
Equations of intersecting lines y =
Transcribed Image Text:By setting one variable constant, find a plane that intersects the graph of z = followings: a) Parabola opening upward: The intersecting plane is -49x2+1 in each of the The equation of the intersecting curve is b) Parabola opening downward: The intersecting plane is The equation of the intersecting curve is c) Pair of intersecting straight lines: The intersecting plane is Equations of intersecting lines y =
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