Let gd(y) = tan1(sinh y) be the so-called gudermannian, which arises in cartography. In a map of

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Let gd(y) = tan−1(sinh y) be the so-called gudermannian, which arises in cartography. In a map of the earth constructed by Mercator projection, points located y radial units from the equator correspond to points on the globe of latitude gd(y).

Prove that d dy -gd(y) = sechy.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 01, 2023 02:49 AM

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Let gd(y) = tan1(sinh y) be the so-called gudermannian, which arises in cartography. In a map of

Question:

Prove that d dy -gd(y) = sechy.

Step by Step Answer:

Let gdv tansinhy Then d ...View the full answer

Calculus

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