The asymptotes of (x²/a²) – (y²/b²) = 1 Show that the vertical distance between the line y = (b/a)x and the upper half %3D of the right-hand branch y = (b/a)Vx² – a² of the hyperbola (x²/a²) – (y³/b²) = 1 approaches 0 by showing that lim * -V - a) = lim (x – V - a) = 0. x→00 Similar results hold for the remaining portions of the hyperbola and the lines y = ±(b/a)x.
The asymptotes of (x²/a²) – (y²/b²) = 1 Show that the vertical distance between the line y = (b/a)x and the upper half %3D of the right-hand branch y = (b/a)Vx² – a² of the hyperbola (x²/a²) – (y³/b²) = 1 approaches 0 by showing that lim * -V - a) = lim (x – V - a) = 0. x→00 Similar results hold for the remaining portions of the hyperbola and the lines y = ±(b/a)x.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![The asymptotes of (x²/a²) – (y²/b²) = 1 Show that the
vertical distance between the line y = (b/a)x and the upper half
%3D
of the right-hand branch y = (b/a)Vx² – a² of the hyperbola
(x²/a²) – (y³/b²) = 1 approaches 0 by showing that
lim * -V - a) = lim (x – V - a) = 0.
x→00
Similar results hold for the remaining portions of the hyperbola
and the lines y = ±(b/a)x.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e8d7a17-7484-4784-b2ea-cf14087479fb%2F451accfc-88ec-456a-99e5-9473ca7dabbc%2Fksp0fvf.png&w=3840&q=75)
Transcribed Image Text:The asymptotes of (x²/a²) – (y²/b²) = 1 Show that the
vertical distance between the line y = (b/a)x and the upper half
%3D
of the right-hand branch y = (b/a)Vx² – a² of the hyperbola
(x²/a²) – (y³/b²) = 1 approaches 0 by showing that
lim * -V - a) = lim (x – V - a) = 0.
x→00
Similar results hold for the remaining portions of the hyperbola
and the lines y = ±(b/a)x.
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