Given the surface z2 = x? – y² and the plane x – y= 1. (a) Parametrize the intersection of the surface and the plane. Describe what the curve is. (b) Find an equation for the tangent line to the curve in part (a) at the point (1,0, –1).

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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Given the surface z2 = x? – y² and the plane x – y= 1.
(a) Parametrize the intersection of the surface and the plane. Describe what the curve is.
(b) Find an equation for the tangent line to the curve in part (a) at the point (1,0, –1).
Transcribed Image Text:Given the surface z2 = x? – y² and the plane x – y= 1. (a) Parametrize the intersection of the surface and the plane. Describe what the curve is. (b) Find an equation for the tangent line to the curve in part (a) at the point (1,0, –1).
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