Show that the vertical distance between the line y = (b/a)x and the upper half of the
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Show that the vertical distance between the line y = (b/a)x and the upper half of the right-hand branch y = (b/a)√x2 - a2 of the hyperbola (x2/a2) - (y2/b2) = 1 approaches 0 by showing that
Similar results hold for the remaining portions of the hyperbola and the lines y = ±(b/a)x.
Transcribed Image Text:
lim b (2x - √√x² - a²) - lim (x - b = ax lim (x - √x² − a²) = 0. -
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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