6. Sketch the surface x² - + 4 4 (a) What are the traces of this surface in the plane x = C (where C is a constant)? = 1: (b) What are the traces of this surface in the plane y = C? (c) What are the traces of this surface in the plane z = C? (d) Use your traces to make a nice three-dimensional sketch of the surface.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
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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6. Sketch the surface x². +
y²
4 4
(a) What are the traces of this surface in the plane x = C (where C is a constant)?
(b) What are the traces of this surface in the plane y
(c) What are the traces of this surface in the plane z = C?
(d) Use your traces to make a nice three-dimensional sketch of the surface.
= 1:
= C?
Transcribed Image Text:6. Sketch the surface x². + y² 4 4 (a) What are the traces of this surface in the plane x = C (where C is a constant)? (b) What are the traces of this surface in the plane y (c) What are the traces of this surface in the plane z = C? (d) Use your traces to make a nice three-dimensional sketch of the surface. = 1: = C?
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