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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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Question

This exercise refers to the hyperbolic paraboloid z = y – x'.
(a) Find an equation of the hyperbolic trace in the plane z = 9.
2 = - y + 9
y = ? - 1
O y?
9
9
= 9
(b) Find the vertices of the hyperbola in part (a).
(0, + 3)
(±3)
О (+3-9)
o (±3V2,0, – 9)
(0. + 3 V29)
(c) Find the foci of the hyperbola in part (a).
(+3)
(+3 – 9)
O (0. ± 3V29)
о (0, + 3)
O (+3y2.0, – 9)
(d) Describe the orientation of the focal axis of the hyperbola in part (a) relative to the coordinate axes.
The focal axis is parallel to the
II
O O

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