This exercise refers to the hyperbolic paraboloid z = y² - x². (a) Find an equation of the hyperbolic trace in the plane z = -49. O +y = 49 2 = - y+ 49 y? x %3D = - 3D1 %3D - 49 49 O y = z - 1 O x2 = 1 49 - 49 (b) Find the vertices of the hyperbola in part (a). O (0, + 7, 49) O (+7,0, 49) O (+7V2,0, - 49) O (0, ±7V2,49) O (+7,0, - 49) (c) Find the foci of the hyperbola in part (a). II
This exercise refers to the hyperbolic paraboloid z = y² - x². (a) Find an equation of the hyperbolic trace in the plane z = -49. O +y = 49 2 = - y+ 49 y? x %3D = - 3D1 %3D - 49 49 O y = z - 1 O x2 = 1 49 - 49 (b) Find the vertices of the hyperbola in part (a). O (0, + 7, 49) O (+7,0, 49) O (+7V2,0, - 49) O (0, ±7V2,49) O (+7,0, - 49) (c) Find the foci of the hyperbola in part (a). II
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 24E
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