Let a, b > 0. Show that S = {(x, y) E [a, 00) x R| - = 1} is a smooth curve.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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Let a, b > 0. Show that S = {(x, y) ∈ [a,∞) × R |
x
2
a
2 −
y
2
b
2 = 1} is a smooth curve

Let a, b > 0. Show that S = {(x,y) E
[a, 0) x R|- = 1} is a smooth curve.
%3D
Transcribed Image Text:Let a, b > 0. Show that S = {(x,y) E [a, 0) x R|- = 1} is a smooth curve. %3D
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