In the setting of Exercise 68, show that the point of tangency is the midpoint of the

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In the setting of Exercise 68, show that the point of tangency is the midpoint of the segment of L lying in the first quadrant.

Data From Exercise 68

Let L be the tangent line to the hyperbola xy = 1 at x = a, where a > 0. Show that the area of the triangle bounded by L and the coordinate axes does not depend on a.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Nov 07, 2023 08:14 AM

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Let L be the tangent line to the hyperbola xy = 1 at x = a, where a > 0. Show that the area of the triangle bounded by L and the coordinate axes does not depend on a.
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In the setting of Exercise 68, show that the point of tangency is the midpoint of the

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Exercise 68 involves a hyperbola zy 1 and the tangent line I to this hyperbola at the point a1 where ...View the full answer

Calculus

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