Answered: The curve y = sqrt(x2 + 1),…

The curve y = sqrt(x2 + 1), 0<=x<=sqrt(2), which is part of the upper branch of the hyperbola y2 - x2 = 1, is re-volved about the x-axis to generate a surface. Find the area of the surface.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 25E

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Question

The curve y = sqrt(x2 + 1), 0<=x<=sqrt(2), which is part of the upper branch of the hyperbola y2 - x2 = 1, is re-volved about the x-axis to generate a surface. Find the area of the surface.

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