(a) Match the equations to the surfaces: Write None if no surface matches the equation. Equation Surface # (a) x² +y² – z² =1 (b) -x² – y² + z² =1 2 - Z %3D I II (c) x² +y² = z (d) x² +y² = 1 III IV (b) For the surface describe by equation in (a) above, the trace in the xy-plane is a/an and the trace in the xz-plane is a/an .

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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(a) Match the equations to the surfaces: Write None if no surface matches the equation.
Equation
Surface #
(a) x² +y² – z² =1
(b) -x² – y² + z² =1
2
- Z
%3D
I
II
(c) x² +y² = z
(d) x² +y² = 1
III
IV
(b) For the surface describe by equation in (a) above, the trace in the xy-plane is a/an
and the trace in the xz-plane is a/an .
Transcribed Image Text:(a) Match the equations to the surfaces: Write None if no surface matches the equation. Equation Surface # (a) x² +y² – z² =1 (b) -x² – y² + z² =1 2 - Z %3D I II (c) x² +y² = z (d) x² +y² = 1 III IV (b) For the surface describe by equation in (a) above, the trace in the xy-plane is a/an and the trace in the xz-plane is a/an .
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